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	 .p+`P^P ' 5	 pХHRJǹYw^Ȁ4YMrdX ֿċp#Y1J'	rp&S 5ig@yzeYn'RZe& ]-v)|qkU7f &i :MJ28z Wrm˒@凒R(?֘N 5iW3JeJX	0g@.re+%%Q[aV؀ڠ{H+S%Hvk]] nMX 0,Rp 5gUzk]oou#¼nRn~eJWsVpڣߠB 5hQKc,,@b$F (qr^28D w0!+{mk@VR"ЍZ5Ft ڷrkk>ͽim`
ܩɼ(knա 5akMer,B2%JHR n1/z`	4nٺ<7Ŷ6P 5jQ/VW)-bMF6vX'E p%%	F~$sv᜷ 5j.tc4n~q ' 5lr<1ܠhn<z?.~'Ƀ/Ϡ 5Nn*re޹FKyK[gQ@ 5Ju@R{!O7-^!ְ 5hwPܗf7Qb\eǍp%  5j3|y.5h X=j<I*& >Ę`eُO X̻RTt*1o
򀭗1-pː@  !"'()+,-./0123456789:;?ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz  ^ZT--xrrxR?Z/9cgg!@[^^<`cZ Xf&`  XT@XT 3Xa;Sg XS9g Xmau  P$PnͷP X>LQ X8T  XNX  X]T$  XFRT  X*V` XRR` XCT( XNR`  X2TX4R Xq%<  X')W<\XJH   Xa`  X_[`  X4V$X_c`  X_OT`  X_N`  X4^T$ X__t`  X>>T`  X<t` X_b`  X_O`  X_m`  X_``  X4ft  X_X`  X4ft jX_e`  X7Vt( XT`  XU]t` X`T`  `  X`T`  X]`  X-S`  X+KXUSX,G6X-N X,OX83  X-Nj XUQ3  XP!  _)j XUU3  XU!S  XU}V  XUQ6  X,Rv	 XUSg X-Ng XU=4  X0G X7XQP< XQw<  Xz<  XT<  XQ<g X*GW<  XMQ| XZ@#U       P"	 	 2     Px  /      P  /       _rz   % wW     P2	 	 8     P*Ӊ 	      P4	 	      PB	 	  	9           @8MK
@   @ H[   .@ @   .@ A7   .@ F   @8MU
   @8MZ 	  @M^`
   .@'[      ?I    v?L`  @LL_D   v@LUl  x@)_oD  @Lo/D   v@Lxl   @8GP   @8JP@   ?#      radius of mohr's circle stress  Q   ! D$   333   @;)9yq Kg<rMRΓt+eap
' 6 ?    ! centroid_target 	   "   !  @   ?    " centroid_target 	   #      @GP@   ?
    # cap R    $ P	 	 , 	   %   $   @GP@   ?
    % cap C 	   &      @GP@   ?    & = (equals) 	   '      @GP@   ?    ' + (plus) 	   (    .@'P@   ?    ( - (minus) 	   )   
 @@   ?
    ) theta    * P  /  	   +   *   @GP@   ?    + subscript lc p 	'   ,   * .@8Id  
   ?PP@   ?    , theta sub P 	   -      @GP@   ?    - subscript_lc_y 	   .      @GP@   ?    . subscript_lc_x ?    ! centroid_target ?  K- Math commaFormatted neo . inputString split neoLen length neoStart charAt - neoLenR noCommas floor FirstBunch substring withCommas SecondBunch , ThirdBunch neolen FourthBunch formatDecimals num isNaN digits cropped round CF tenToPower pow indexOf .0 halves zerosNeeded i 0 toScientific exponent abs log mantissa sigDigs output e       inputString      R< 	         N N<         <            	         N 	R 
I      <  <           R<     ?	         I        	         IL    I >              	         N R< <      I   	                  	         N R<                 	         N R<  G G< 7     I   	                  	         N R<              	         N R<                 	         N R<  G G G G< ?     I * 	                  	         N R<              	         N R<       	       	         N R<  	               	         N R<  G G G G G G<             N NH    G     NG >O      num digits      =  	         J> _         H <        RK<       R< >  
        R<        R K<	     R I     G !    R< " !    N N< #   < " #H    $G ##P        R< >O   %   num sigDigs . J     =   > &      'R      (R	 k@U      R< 	         I   &         & 
        R< ) < )*     )      R +)< &	         I   ++ ,&GG +>O ?  d  nr theRandom length igap Math floor iflag j swapTemp theIndices theLength random theCopy theGiven $ ShellSort2  theRandom theIndices    N<           R< A A A         H g         I                           H     GN  NH    N     GNO   G O 	 N 	  	  GNO 	  G O     P            R % TraceArrays  theRandom theIndices J    N<         <       H   P . FillArrays  theRandom theIndices theLength y          < 
     H M             RO 	      GO P ) CopyArray  theGiven theCopy theLength U          < 
     H )     NO P  ?  H 
 theRandom Array tempIndex frameIndex j Math random ShellSort2 count i  MakeSequence   M        @<       @<       @         <    H M              RO       GO P     <    H V              R    GO       GO P     <    H V              R    GO       GO P        =         < 	        <    	H t          <    H C     	     GNO P P  		P y ?  ( UserValue userResponse StripAnyUnitStrings AbsValueFlag Math abs correctResponse bCorrect IsItCorrect formattedCorrect numDigits formatDecimals checkmark gotoAndStop correctCounter GiveTheCorrectAnswer Correct!!
Well done! The correct value is    unitString . outputString sFore sAft LengthOfString LocationOfSpace inputString indexOf substring LocationOfComma , length isNaN  response user parseFloat tolerance diff correct T EvaluateAnswer  correctResponse numDigits unitString AbsValueFlag correctCounter       =<    5         R J     R       =< 	
      R<  .         R P  6         R 	G G G G >$ StripAnyUnitStrings  inputString  A A A A             R<  I    #               R          <             R<  I    k   N              R      G     R  G  I > J     =   !>   J> IsItCorrect  user correct   "A #    $=     =   "#    $=    > %z?{G< &" ' '< % &     RH   >    > ?     ApplicationType     ?     done_one_flag    done_two_flag    done_three_flag    done_four_flag    done_five_flag    done_six_flag    done_seven_flag      / r!L II RWع6S \ǲ0+|Ҁo,pp˃	 ]^Su-ylц]@L	B*;	>5 M-GE7]c'"eI[/r l Qغѧ<>+J) d+7M[x<]:yβP-*=uii=3рX.L,=$JV3!#ҠR;뤫5;Y~79J{iü2dJ{ iS\(.Xl׽Vrgn.vd6[i6	S.wd,H)q7Q*RR@)!$ rPWJO}.aHݜ&
@Y7W$ʅ46u'1:_+Z|6tɽ2#iiϒ\ H	GB,;).$O ր&':П@ X)
 G`` y@'	 8~ /  	*   0 g2p0 M        percentLoaded 
 0 Y`@ ?   ?  percentLoaded this getBytesLoaded getBytesTotal Math floor %            R          R d        R    G          R          RH          1 PBL 	     2 XN!̀ 
     3 XM!  
     4 XN  
     5 P>L 	     6 X!Oa  
     7 XN 
  	x  8 b  1  &@4 i @ @   &@4 pi @ @   &@4Ti @D@   &@4TMi @d@   &@4T}@i @@   &@4T@i @@   &@4T i @@   &@4Ui @@   &@4U<i @@   &@4Uli @, 2  &@4i @ @   &@4U@i @L  &@4pi @ @   &@4U i @p  &@4i @D@   &@4M i @  &@4Mi @d@   &@4i @  &@4}@i @@   &@4ni @ԓ  &@4@i @ 3  &@4i @ @   &@4.i @  &@4 i @ȓ  &@4 i @$@   &@4i @  &@4i @  &@4$" i @D@   &@4i @8  &@4<i @  &@4$T i @h@   &@41i @X  &@4li @,  &@4$ i @@   &@44i @|  &@4@i @L  &@4$ i @@   &@47i @  &@4 i @p  &@4$ i @@   &@4
ji @  &@4 i @  &@4% i @ 4  &@4>i @ @   &@4@i @  &@4i @  &@4%N i @  &@4>i @$@    @4R  &@4	ni @ԓ  &@4% i @<  &@4|&i @H@   &@4
.i @  &@4% i @\  &@4|[@i @l@   &@4
i @  &@4 i @  &@4|i @@   &@4i @8  &@48Xi @  &@4| i @@   &@4i @X  &@49 i @ē  &@4|@i @@   &@4i @|  &@49i @  &@4},i @ @   &@4i @  &@4:i @  &@4}a i @$ 5  &@4i @ @   &@4,*i @  &@4;xi @0  &@4}i @H  &@4 i @$@   &@4XZ@i @  &@48q i @P  &@4}i @l  &@4D" i @D@    @4X
   &@48t i @t  &@4u@i @  &@4DT i @h@   &@48w@i @  &@4,i @  &@4D i @ 6  &@4i @ @   &@4pi @  &@4,i @ܓ  &@4D i @  &@4i @ @   &@4p i @ܒ  &@4,mi @   &@4< i @Г  &@4#i @@@    @4p  &@4,?i @$  &@4= i @  &@4#Gi @`@   &@4Y@i @H  &@4=N i @  &@4#u@i @@   &@4Yӈi @l  &@4= i @<  &@4#@i @@   &@4Yi @  &@4= i @\  &@4# i @@   &@4Yi @  &@4= i @  &@4#i @@   &@4YXi @ܒ  &@4>xXi @  &@4#,i @  7  &@4Bi @ @    @4Y  &@4>y i @ē  &@4#Zi @   &@4B i @$@   &@4>yi @  &@4#@i @@  &@4," i @D@   &@4>zi @  &@4#@i @`  &@4,T i @h@   &@4>{xi @0  &@4# i @  &@4, i @@   &@4| i @P  &@4GGi @  &@4, i @@   &@4| i @t  &@4Gi @  &@4,| i @@   &@4|@i @  &@4G	i @  &@4,} i @@   &@4|`i @  &@4G
mi @   &@4,}N i @@   &@4|݀i @ܒ  &@4G%i @   &@4,} i @<@    @4|  &@4Fi @@  &@4,} i @\@   &@4Fi @`  &@4,} i @@   &@4FKi @  &@4XXi @@   &@4Fi @  &@4X i @@   &@4Fi @  &@4Xi @@   &@4Fqi @  &@4Xi @@    @4F(  &@4Xxi @0@   &@4X@i @P@   &@4Xi @t@   &@4Xi @@   &@4Xi @@   &@4X`i @@    @4X(@ 	 i @	 i @̉	 i @Љ	 i @؉	 i @܉	 i @	 i @@ 	 i @	 i @	 i @	 i @	 i @	 i @	 i @@ 	 i @@	 i @`	 i @t	 i @	 i @	 i @	 i @@ 	 i @ 	 i @(	 i @D	 i @\	 i @l	 i @|	 i @@ 	 i @	 i @	 i @	 i @4	 i @H	 i @\	 i @h@ 	 i @	 i @	 i @	 i @	 i @$	 i @8	 i @L@ 	 i @@	 i @	 i @	 i @	 i @ 	 i @	 i @,@ 	 i @ 	 i @P	 i @	 i @	 i @܉	 i @	 i @@ 	 i @	 i @	 i @\	 i @	 i @	 i @؉	 i @@ 	 i @	 i @	 i @0	 i @h	 i @	 i @	 i @@ 	 i @@	 i @	 i @ 	 i @<	 i @l	 i @	 i @@ 	 i @ 	 i @x	 i @Љ	 i @	 i @H	 i @t	 i @@ 	 i @ 	 i @D	 i @	 i @	 i @$	 i @T	 i @x@ 	 i @ 	 i @	 i @t	 i @ĉ	 i @ 	 i @0	 i @\@ 	 i @ @	 i @ ؉	 i @D	 i @	 i @܉	 i @	 i @<@ 	 i @  	 i @ 	 i @	 i @p	 i @	 i @	 i @ @  	 i @ l	 i @ 	 i @H	 i @	 i @Љ	 i @ @ 	 i @ 4	 i @ 	 i @ 	 i @l	 i @	 i @@ 	 i @  	 i @ 	 i @ 	 i @H	 i @	 i @@  	 i @ \	 i @ ̉	 i @$	 i @l	 i @@ 	 i @ 0	 i @ 	 i @ 	 i @L	 i @@ 	 i @  	 i @ |	 i @ ܉	 i @(	 i @h@  	 i @ P	 i @ 	 i @	 i @L@ 	 i @ (	 i @ 	 i @ 	 i @,@ 	 i @  	 i @ l	 i @ ȉ	 i @@  	 i @ H	 i @ 	 i @ @ 	 i @ $	 i @ 	 i @ @ 	 i @  	 i @ d	 i @ @  	 i @ D	 i @ @ 	 i @  	 i @ x@ 	 i @  	 i @ \@  	 i @ <@ 	 i @  @ 	 i @  @    8 )@ HH  @ @ @ @ @ @ @ @ @ @ @ @ @ ?      @  
 ?S    theta principal_axes _rotation correctTwoTheta tauXY sigmaY sigmaX TwoThetaPrincipal correctTheta bCorrect IsRotationCorrect AttemptsTheta response user parseFloat isNaN tolerance diff correct Math abs  CheckTheRotatedElement       N<       =<      	      
=< 	 
    %      H 
        ># IsRotationCorrect  user correct   A     =    =       =    > z?{G<   <       RH   >    > ?    UserValue userTwoTheta StripAnyUnitStrings Math abs correctTwoTheta tauXY sigmaY sigmaX TwoThetaPrincipal formattedCorrect formatDecimals bCorrect IsItCorrect AttemptsTwoTheta  EvaluateTwoThetaAnswer          =<        R  K       	=<      R	 
        R<       =<  
    %      H 
        > ?    UserValue userI2 StripAnyUnitStrings correctI2 sigmaY sigmaX CenterOfCircle tauXY RadiusOfCircle FactorOf10 formattedCorrect Math formatDecimals bCorrect IsItCorrect AttemptsI2  EvaluateI2Answer          =<  K      =       = 	<	 
        R<       =<  
    %      H 
        > ?    UserValue userI1 StripAnyUnitStrings correctI1 sigmaY sigmaX CenterOfCircle tauXY RadiusOfCircle FactorOf10 formattedCorrect Math formatDecimals bCorrect IsItCorrect AttemptsI1  EvaluateI1Answer          =<  K      =       =G 	<	 
        R<       =<  
    %      H 
        > ?    UserValue userRadius StripAnyUnitStrings correctRadius tauXY sigmaY sigmaX RadiusOfCircle FactorOf10 formattedCorrect Math formatDecimals bCorrect IsItCorrect AttemptsRadius  EvaluateRadiusAnswer          =<  K       = <	 	       
 R<       =<  
    %      H 
        > ?    UserValue userCenter StripAnyUnitStrings correctCenter sigmaY sigmaX CenterOfCircle FactorOf10 formattedCorrect Math formatDecimals bCorrect IsItCorrect AttemptsCenter  EvaluateCenterAnswer          =<  K      = <	        	 
R<       =<  
    %      H 
      ~  > ?  ,' CoachFlag ClearTheCircle mmc xdot _visible _x x _y y xlabel PositionLabel ydot ylabel AttemptsToPlot clearTheCircle ShowCorrectBasicCircle b1 b2 xPix sigmaX xPixels yPix tauXY yPixels dx dy ds Math sqrt xCorrect xWrong sigmaY yCorrect yWrong CoachPlotting sigma tau sigmaLowerLimit sigmaUpperLimit  CoachPlotting  x y $  	         I           = >       I l   N O  N O  N O    	N    
= w  k      I l   N O  N O  N O    N    
= x         I .  L    
  {    y         I 9      H           = v    z  Y       I           = |  *       I           = |  > CheckThePlottedPoints    A A     =<     =<   N N<   N N<    G<      R     H c   N O  N  N NO  N  N NO  ^   N O  N  N NO  N  N NO       =<             =<   N N<   N N<    G<      R     H c    N O   N  N NO   N  N NO  ^   !N O  !N  N NO  !N  N NO        "= >! EvaluateMouseClick  xPix yPix        IL        I   > #    < $            < # %HL   & #H   > $ HL      $H   >      "= > ?#  8 mmc acute _visible _x circle _y arc _xscale _yscale scaleX xdot scaleY _width _height Math abs factor ClearTheCircle ShowTheCircle xPix yPix sigmaX xPixels tauXY yPixels xlabel PositionLabel sigmaY ydot ylabel center CenterOfCircle cPix dx dy ToCenterPixels pow t targetX targetY symbol scaled unscaled xCorrect xWrong yCorrect yWrong theC theR max1 min2 twoThetaP centerDot posArc negArc one text FactorOf10 two three RevealTheCircle theCircle radius RadiusOfCircle twoThetaDeg TwoThetaPrincipal twoThetaRad _rotation theCenter theRadius beta PositionInTheCircle xPos theInstance radialPix angleRad cos sin previousSigmaX previousSigmaY previousTauXY ApplicationType sigmaLowerLimit sigmaUpperLimit sigmaLower sigmaUpper RandomValue Acceptable IsTheCircleAcceptable MakeStressStrings ShowGivenValues AttemptsToPlot elem gotoAndPlay theZ gotoAndStop normalX normalY deltaXY normalx normaly shearXY sqrt twoThetaPrincipalRadians shearxy atan2 twothetaPrincipalDegrees sigma1 sigma2 tempAngle PrincipalOne PrincipalTwo b1 NormalWithinBounds b2 sigma bool sSigmaX FormatStress sSigmaY sTauXY given sValue value formatDecimals +  lenString string length theLongest maxLen positive charAt      substr dTemp thetaRad thetaDeg cos2Theta sin2Theta sigmaN sin2theta tauNT cos2theta sigmaT thetaPrincipalRadians thetaMaxShearRadians mohr thetaPrincipal thetaMaxShear SelectedStressElement circle_mc nt_diameter construction_details details theta thetaNT sGreek <FONT FACE="Symbol" SIZE="+2"> arguments </FONT> sSub <FONT SIZE="-2">  NoSteps theValue StepSize round range ValueMax ValueMin RN random  ShowAcuteAngle      N O   N   N NO   N   N NO   N N d   O   N N d   O 	  
N N   N N     d   <   
N N   N N     d   <   N 	O   N O   N N   N NH Y    N N   N N   N N     R d   O T    N N   N N   N N     R d   O   N N N   N N NH r 	      N N N<   N N    O   N N   N N N O ShowCorrectBasicCircle   J         =         = A A   
N O     =     =   
N O   
N O     N    =     =             =   N O   N O   N O     N    =# PositionLabel  symbol xPix yPix        =<      =< !  < "< #! ! " "G< #  ?    #     $R %#    G #< &  % !G< '% "< ( O ( &O ( 'O > xPixels  unscaled "     < )* < )> yPixels  unscaled "  < )* < )> ClearTheCircle      N  O   
N  O   N  O   +N  O   ,N  O   N  O   N  O   -N  O   .N  O   /N  O   0N  O   1N  O   2N  O   3N  O   4N  O   N 5N  O   N 6N  O   7N 89    O   :N 89 
   O   ;N 89    O   N  O > ShowTheCircle      N O <     N =N O     N =N  O      =<   N     O   N         O >      ?=<   N > d   O   N > d   O @      A=< B@	 !	@-DT    <   N C        @O   4N O   4N   N NO   4N   N NO   D 9O   E> 9O FFߑ?9R  N CN    < FF	 !	@-DTG F      /N    G=         B	 !	@-DTG >    =	 33?3333   0N    G= > ShowTheArc     FA   N CN	         H 9    N 5N  O   N 6N O             N CNH 9    N 5N O   N 6N  O 4    N 5N  O   N 6N  O   N 5N C          N CNO   N 6N C          N CNO   3N O   @          N CNO FFߑ?9R  N CN     >      ?=< F >    =	   ?        G   3N    G= > ShowMaxPrincipal       1N O      =< >      ?=< H >G    =<   1N HO   1N         O > ShowMinPrincipal       2N O      =< >      ?=< H >    =<   2N HO   2N         O >7 PositionInTheCircle  theInstance radialPix angleRad   I O I   N N J K     LRGO I   N N J K     MRGO ># GenerateRandomStressParameters    N< O< P< Q	         I   R S    +  Q    I   R    S    9
    TR    < US    G<   ?    U T    V=  NI    ?    U T    V=  IL    OI    ?    
      V=  PIL            PH  W      X=< W  9    Y=         Z=      =< >      ?=< [         > RefreshStressElement   ^  \  9O \  9O \  9O       \ ]R > RefreshZshape      H N          H         ^ _R         ^ _R I          H         ^ _R         ^ _R ># CenterOfCircle  normalX normalY    ` aG    < >+ RadiusOfCircle  normalX normalY shearXY O  bc d    < >b b e eG     fR< >>. TwoThetaPrincipal  normalX normalY shearXY _  bc d    < gb h     iR< jg    	 !	@-DT< j> PrincipalOne  center radius   k >G< k> PrincipalTwo  center radius   l >< l>2 IsTheCircleAcceptable  normalX normalY shearXY  a `    =< >e a `    ?=<   @    >H    > e     R    HL   >    H    > C  e     R    HL   >    H    > @e a `    A=< @@     R	 mZ   @     R< m    H    > k>     n=< l>     o=< pk    q=< rl    q=< pL   r   >    > NormalWithinBounds  sigma F  s RHL   S sH   t<   t < t>! MakeStressStrings  FactorOf10 V  u 9    v= w 9    v= x 9    v= > ShowGivenValues   2  y uuO y wwO y xxO > FormatStress  value n 	 z   {     R     |R< {	         H   z}zG   z~zG z> PadString  string maxLen    N<  <  I     <             R }I     H >  G    G  P  L       H          R >& PassValuesToMohrMC  mohr errorcode  A c< d< h< bc d    < c dG    < >b b h hG     fR< 	 !	@-DT    <	         LR<	         MR< k >G< l ><  b G h G<         b  h G< k lG <   ?    b h     iR<   ?    h         b     iR<  cO  dO  hO  >>O  O  O      	 !	@-DTO      	 !	@-DTO     O  N N  O  O  O          O  O  O  O > MakeHTMLgreek   p  	         NG G<  N    I        NG G<   <  G>" RoundToStep  theValue StepSize 8        R<   >+ RandomValue  ValueMin ValueMax StepSize w   <          R<   G<       R<   > ?    
   title      9 oA": @@ ٠8N  9 ݀ @ ~0?`   : uYޚ    x Øh5Rj 6@ VTO	3@T]V_e& Ԛ\ K R	PI  : QFTu& i @ ?/   ; lIPkvD, ( Øh%9 n  ( Øh%  ; 35FhsExi @   < z |   ;o;XG:I]"d+f4A			F



xwF$d 5cBjU~wmEބN\5>)Z7+;3  5iJx/iI-uKq\szM#a.KpsR _~In`b0 4]fWnQ~ꥐBDXתuS&IH!%耰 5cVv=띖Ts@mh 6f7-  5bjuj]0BKnT " R.o `r)  5bd
@Իmt  I  py\vmȸa"7W-
 5.OmC޹٥G0@ffcqM 5Kտwk\
^ 5-r1h 5kJd
@dГ@_&FDPX~EC	
xm Xo ߮ p4.  ̂ L ~5 5 67 5eΎW&kkn1sЛym 5l0)@3к} 
@{U"KSrPm'1N|*,R5xta%AZqg\ H 5ly.2DHXY6-`fk
Ha"؁GVU@r^kn5i*#$WBEOt^G[	:" 2 lc[.%ʈQ`Ti[>D p]G YeMQ'e`INUO[\ԗ%089AT F&r N8G}%H :*{p*<H G ՄaLR  5.r1hGYٗS촀5iYSmY'X{V(3(;ծ	O~M?`, 5k:d	\xY $?'	\ uh&WLY
=t cÀ@/Ҳ]ki#k.9/fA ܴs=5kx#))$ItQΔԶKqDӲ?Dc5(67 ߭p9 ĭ͗[f 5kd
@8YnEC	
xm Zأ- ̂ L ~5(%]܊ 5l>.6˷"'S]Dusp5k.˷"S^rG9~ 5lzW&kR-Sp7ɸ 5cnW&gn)5lwTn)Q"0 5lJ<r֍w_S7)un<^7rG7LiB%x 5kRܫrcy%N^T9Y壛-*e(rݰ 5kd
 d@_&FD\F ?	
xm Xn ߮ p8.  ̂ L ~5 y5 67 5ljfAA ]HrkP	WuZ壜FeVnaH火pD/i 5k6d
@7W!xl8^
w"onE7$[MkO@eP@6Rf [ABp 5c# dQc PzdB$YK Pu,z 8 ="E9 $ 7uR6PS[87%*:I 5kz/T}Z\ka5cbyP$.2 p2,8HS7ܨ`i@8&@/濿 忛` 5kx,aa^$\ϸk	q՞=G<Hja塦!]3n-5j*w<juչZ݅- zQTBW  5ifEB oRs?mfjs,Ҙ9Dq#`2t:H*4 # q#`7(nK%i&X  5ifAA \@ ~5 Ji}	o7SxTIZOTUnp VEG	
7oV~T E%T-#  5d9 !o$ ܑIH!%耶@E	Ap7Ҭ b׷pnY ܎MH5&`
Do  5jeyYz]5jj@)7o R ̃~2bӽMH̕  7o-4IM\0BLm0  5ifAA \p4QFD\G4MH5&`
Do7.  2Std
oL/2^ 5e~<,gaԏ%cU8^po
&	[Vv0 ea 5k^SG;/t<ˠi RK3gڀlMH5 .̔7 ߮ n"\1iUfqL
Lmi YdAUHL G)@(jܔˢ\  5ifAA \W+<5U}a@nR&  LR+\z JS"R֐ˀ(  5c^Qk)Xשە6@ 5-Vp[l'vk(<;0fiXߩە6@ 5j~Otr_rׂK5yZ;ܞTo,.'^ 5cbeyYgS@5l>[ <As_ܭp2UɆM5 g
Zd(bkP +rp+T+@	ʜч2,; 5ifAA \W+<5U}a@nRf  LR+\qM)*2ʟ2.  5j/fAA \@ ~5 j@)7o R ̃~ޙp":vEC	
7oVɆ#0BLm0   5jGfAB [@ ~5 Z,h~8P-	S:򬲩̤.eT[$G (ݿW&PJ 	0DP2 H  5k:WgVTr5()PoA[ E <SHޑpD0Ua nH@[u     5fTTL !VneVan:؇ 5He]  S$%/
VyWnPܠ/  ,R㼲o)*Yh PH  5a&n܍jbeV`IG#\&UAiRdF eIOՀ.{5{UG  5jQ9_r9mr5 5⟅_FC`|  J)5k${6ۈ'f<;P 5iF	>BOxUw|B=܍	1%c=J󈬓$
0[; 5k&wʝ3٦rtDm}J؇k?\{ZHxn05ld{>y MUcEl Iuy3n$bcJq#,Ű 5IQuGk}D4ݬ#?໛pnzS[8 5N<ј_l3	@0 
c5p	Of>> V L   < Sui Generis !&'(),-.01258:ABCDEFHILMNOPRSTUWYabcdefghijklmnopqrstuvwxyz<   = oY   < hP fR$)؃ ԝRHX$WJ ?D   > \     3 o h kU*JkmZ-[X  %ա+` JҪ i   ?   :  !iޘ  ;    @  =   "@-    M =   "@(l>  zj@ =   "@-h    =   "@(l    *" =   "@(l    M>  }}j@         ? ŀ  4/P I   @ oԕ  < hP] jLHY`ԝRH@ *	DDUވ    A   :  !iޘ  ;    @  @   "@9    M @   "@>  zj@ @   "@9h    @   "@    *" @   "@    M>  }}j@      t   A f9 C   B oLP C < hP /5"H](0 ԝRH@ *	$Đf$     C   :  ޙޘ\  ;   B   @̬K9    M B   @̩>  z˕ B   @̬K9h    B   @̩    *" B   @̩    M>  }}         C ųH٨=  b   D vk 9Z   < MMEV(zV må`fc:(  .E=1({GÜ PV)f3RP[   D   @t  D   @sp    & @     ?    
   background f   E x5Ԁ 
< M`&Aj!$̥&&  ԝ& a&%̥9 g̥j! & g&!̥ԝg!  E  @>d< : N  9   F m)\  Øh        -jed9Uk!sN)@  F  N ?    ! centroid_target  ! BPD.     G o9p  < %@*o@V  G N    H Xse- 
 [XȀ  H "@   I X	rej  
 [XÀ  I . #   J noS  < %LIT﫛n 	 J N    K `#(I 
 [Xȃ1 
 K @   L `I 
 [XÃ1  L  
 BPJ&  M x 5@BX 
< Øh @=	ппǹHΠ ^n͈n ^n͘ ^ιʼnп ^ʼΔ ^sΔǐn ^Μc ^HΘsnH ^Μc ^ʼ ^sʈ ^s U  #< ^ʌn ^snΠμΈʴJ ^sʨHΈn ^Øп ^ ^ʼΔ ^Q ^n͘ ^ιʼnп ^  P/ʼΔ ^sΔǐn ^Μc ^HΘsnH ^ʌn ^Θ ^Øп ^F ^ʼΔ ^F  }% ^Ƙ ^ʘnsHΘʔ ^csι ^n͘ ^ǈnHμп8L  M  @ *p   @8M   w@8M   w@M$   N Pmx  /    N w@'"  N w@'({    @8M,    @8Mq     ?6    v?MA#  @M7C    v@M<   x@)@ˇ   @MH    v@MM{     @'Tc   .@'c  
   ?is   @8M|c      @8N@!    @NBp"    @'E #  .@'M $ 
   ?P% N w@') &   @8M  '  w@8M%R (   @8M,     O Xtxy   %!gG ) O l *    ?MA +  @M7B,    @M<-   @M@¥.  @MI/    @MNb0  @NU 1    ?^ 2   v?Mi3  @M` 4   v@Md 5  x@)i 6  @Mqz 7   v@MvJ 8    @'}2 9  .@'GP: 
   ?J ;    @NM<  @8NR=    @8NTp@>    @NVX0?    @'X@  .@'`A 
   ?chB   @8LAC  w@8M%R D N w@') E   @8LY'F O G    ?MA8 H  @LnI    @Lx':J   @M@ĀK  @MIĀL    @MNa΀M   @8MU N    ?^ O   v?Mi8P  @M` Q   v@Md R  x@)i S  @Mqy T   v@MvI U    @'}1 V  .@'GPW 
   ?J ~@X  .@'MY  @8NRZ    @8NTp [    @NVX\    @'X]  .@'`^ 
   ?ch~@@ ?    ! centroid_target @ ?    ! centroid_target @ ?    ! centroid_target @ ?    ! centroid_target @ ?    ! centroid_target @ ?    ! centroid_target @ ?    ! centroid_target @ ?    ! centroid_target @ ?    ?    ! centroid_target ?i   P e}" ( Øh%kIp h-i' 
& ٶh` kfh 
 &I ( Øh%F > ( Øh%!tL 1   Q g% 	< ØhE,t #KrfM[  s   R  j >   i @ P   Q   @˟>   Q   @˟    *" Q   @˟    M>        _ R  @ _ ?    ?    ! centroid_target @ ?    ! centroid_target @ ?    ! centroid_target @ ?    ! centroid_target @ ?    ! centroid_target   S x u B@ 
< Øh *xӤ͘s ^èHпnп ^μΘ ^пn ^Μc ^Øп ^[s ^ͨH ^n͘ʃ  #>ιʼnп ^Μc ^HΘsnH ^Μc ^ʼ ^sʈ ^s ^èHǹ ^ʼΔ ^HΨHǹ K ^ ^xӤ͘п ^  PBØп ^s ^ʴJJʔ ^n͘ ^sHΐHՈʴJ ^Øп ^Μc ^ʼ ^sʈ K ^ ^xӤ͘ ^ܸʴJǘп ^Μc ^n͘ ^  }9èHǹ ^ʼΔ ^HΨHǹ ^ιʼnп ^Μc ^HΘsnH ^ʼ ^Ƙ ^[ǼΔ ^csι8L _ S  @ Q`  &@8N	m   T P0x 	 /  a T  @8NՂ@b   @8NIc  @8NA   U P x 	 /  d U  @8N@   V P(
h   e V  @N	f O  @ a}@g   ?N!-@h  &@Nq`i   @Nisj   @N q`k  &@N%)q`l   @N'sm   @',	n   @ /U}@o  @8NLЏp   @ /l q   ?@ 7!m`r   ?@ Gm`s   ?@ Iqt  #@8NQu   @8NT9@v   @NV!0w   ?@'T}@x   ?9a}@y   ?N>`z  @N:q{   @N<it |  @)>q}  @NBq~   @NEt @ ?    ! centroid_target @ ?    ! centroid_target @ ?    ! centroid_target @ ?    ! centroid_target @ ?    ?    ! centroid_target  R # @  ?    ?    ! centroid_target @ ?    ! centroid_target @ ?    ! centroid_target @ ?    ! centroid_target @ ?    ! centroid_target    W w銀*  	< Øh q3*TLM7\L pMԳfe ^z&UY@p^fV   #K6fPZ$^Α{Q#LI@erÙLs2/   P΢D̫ڛeJ +SpW/DʽC6T̠3j$n{8ln'   W @ QЏ   @&e   ?@Nj%   @NU  * @&c	  p@&]  
  ?N`    X aӺ p  %nuy(  X  ?N_  @nUʀ   @p   @)sʀ  @w	ʀ   @yq    ?o  &@&sy   @&u@   ?wɰ0@ ?    ! centroid_target @ ?    ! centroid_target @ ?    ! centroid_target @ ?    ! centroid_target @ ?    ?    ! centroid_target w   Y  j >   i @ P   Q   @˟>   Q   @˟    *" Q   @˟    M>        .   Y - @       	 
                        ! " # $ % & ' ( ) * + , - . / 0 1 2 3 4 5 6 7 8 9 : ; < = > ? @ A B C D E F G H I J K L M N O P Q R S T U V W X Y Z [ \ ] ^ _ ` a b c d e f g h i j k m n o p q r s t u v w x y z { | } ~                   ?(    FactorOf10 
     sigmaX      sigmaY      tauXY      RevealTheCircle !          ShowCorrectBasicCircle =          ShowMaxPrincipal =          ShowMinPrincipal =  RevealCoords    RevealC    RevealR    RevealTwoTheta            ShowTheArc = 
   introduce the circle ?Y  Z wiH  Øh%[h\9и,;Ph\{x4.~jo!и-<7@BYa+U2ߺ%[Exx40~  Øh Øh%̀ex.R//j%-dZ%.D/+š\^^-2h`+-%Z%-Z%@   Øh%˸eh`^^-Kš   Øh Øh%Ch] < Øh% š  < Øh%7@ 	   [   Z  @   ?T  \ wie0k   Øh%d [xx5 qd|R > Y	aԀ,@j@G x5 q8n>*!x-Ũ<8Gd|gQ>9   Øh%d|>R   Øh Øh%`elC!+oh%mԀ-%Z@R ,j@V-H@Jũ Z	[x 0ũ[	[^-HJj<BV-HpJũ   Øh%ũ Z}	[x @ < Øh% ũ  < Øh% 	   ]   \  @    =   ^ mBUN	     \ڳ'2 *0 ̳66̋%W<I j   _ e'&( M    /e*zvf~
eW0"ź6
j* (
?s,T/%N>  < Øh%z Ā	   `   _  @ @ ?    @    =   a mB     ?f¡˙+P	#QFnf $` eTdw/  ?m   b e%  M oĕ  mFWA 4A@QT+ؖ*?nbbg}?ً!EvfYVjtz^  < Øh%z Ā	   c   b  @ @ ?    @   ?x   d Tl     H˜u ) )gYgZz V Vθ0u0 u|  
 M%H˜u ) )gYgZz V Vθ0u0 u 	   e   d  @       f T`( 
 M%Sc  0   g <G^ M dI .JKҜ	'뤾(	ѺDd	   h   g   ?x@   	   i   g  @   	   j  F ^ 32f`     & ` Oڟ posArc F a 32f` 
    & c Oڟ negArc    & e  theCircle  f   h   <  i     @    b   k UިX Sr HTkVzZMsNӂ]7mU@)j`$TQ6HLCy5W]l!  	   l   k  @ @ ?    @   ?C   m UP gg B"o47;W7[=dnWzQ޲+Lni]` 	   n   m  @ @ ?    @   ?&   o Wl 333
    Kx@#r #   p W~  3d8Y|r!?A   q UZIp  5-ig2+T,B MQQ5E@$,T>L  	   r   q  @   	2   s  ?     o  F p   
   & r  arc @      t P	 	  ?	  u  Tahoma < > \ |   6Vgv<7arU9V, 5HBnNoPVD?؄,\]c5c{xI>Qk=I>Q5c~{xI>Q5f尒mn#ԙR  VEI|S0+	3]Iҥ/<)q :`lLDG*TRL[ 5ef8C9J`4izN]mJjv,BwS	]UL]q7m,a[-6.fqo=TM< 5K7oq	@7P<r 5Hy㨯F*qn 5L7n
f, 5/uOݞn,@5g{yYpID 5iZfH ^&oo0fl	2y啞n& tB`<Qoc~	@eje)CXSG \@\s)w@Jy.K,  5aa~J^1HmEM)~N0 5i:f B@#mJLxg%ه1VьՔ@3Yp\PR̖za?Pw2!X 5i& 	m;%#%0{<\l[.ŶPK`3eـoeR4ܜɮl$G2V15/Lu#nex:j鮿rkG]Bv1?>]%`-iS&Ri . 5J݁o?/SݺPekɺ؜WRj< 5i&x,Mi?Ak\E#/*e0\ ([KI(B@?)brvDK[u!7Md\{}pn0 5ff .DZTr7%6ʌY<] 	s :&O&__f7mۓj^MxC0¶%p̓$[ <m*:IADtևΗiPU5%W޺? 5izy40Sm';tD{@ 5fk>sZ3e z@A9G@>CLlȤ!4+KWPp
'q\Cf3"J2ShJ#6HXb=%`90#Cų_siK	J䤮$*,8Li>VcH$Ts\:!?*kED?m-K!84-/tkI6y-O@5ifC _>n#nG oovc8vڎT]΢7#|4l6[fm-Kg3tZ1I򔜒.51b BR$4EB`Xw|L+ə/s Hp]jIH8h(Zc 5HybnSgT{u 5Iy㨯F*qn
:Or<X 5k[y,3nAZϜkvșP  5hz ˒yxv\mzD\*oʋ9j3JK0LuH-`IK@RYݵm]ބmpFBhIH ,;rw|b5ij-з]z.]oc7qE^xN$*1 J_5ɠ]|!z;= Rg SyyYe@j.@mʀ5fu_H;FP$o,Bl [$ֹhJuN
&mߐq>ؽDw(ܴc,*̀5j;|y+Hn@5gVf U:j\iq* ;ƘTe`AXRRlܦͧ*o $rX-NK   !"'()+,-./0123456789:;=?CR  ,_F@@OttFD XL"t`  X@6X<X753g X(3Sg Xa\ WPnWI!<  X;>sQ X'L$ XbIX  XLM$  X4K  XN` X<K` X1MT( X;K`  X MX"Kt$Xb"w<  X&7<\XpZ X8C$  X"Qt$XM_`  _Q| X?:#M  	D   v h} 1u  Ƈ        coordsAbove (123.4,-567.8)             	D   w h} 1u  Ƈ        coordsBelow (123.4,-567.8)             	  x  ?+  V  _parent RevealCoords FactorOf10 sCoords ( sigmaX , tauXY ) coordsAbove coordsBelow      N N      N N<    N N G G    N N G G            N NH   	 
   
 	   	 
  t   v L<։ w L @ ?+  V  _parent RevealCoords FactorOf10 sCoords ( sigmaX , tauXY ) coordsAbove coordsBelow      N N      N N<    N N G G    N N G G            N NH   	 
   
 	   	 
 @      y PՉ
 	  	D   z h} 1u  Ƈ        coordsAbove (123.4,-567.8)             	D   { h} 1u  Ƈ        coordsBelow (123.4,-567.8)             	  |  ?7  V  _parent RevealCoords FactorOf10 sCoords ( sigmaY , tauXY ) coordsAbove coordsBelow      N N      N N<    N N G G    N N  G G    N N	         H   	 
   
 	   	 
  y   z L<։ { L @ ?7  V  _parent RevealCoords FactorOf10 sCoords ( sigmaY , tauXY ) coordsAbove coordsBelow      N N      N N<    N N G G    N N  G G    N N	         H   	 
   
 	   	 
 @   	&   } `
P1u  Øh        text 1000 	   ~   } P{x@   	&    `
P1u  Øh        text 1000 	       P{x@   	D    h} 1u  Ƈ        coordsAbove (123.4,-567.8)             	D    h} 1u  Ƈ        coordsBelow (123.4,-567.8)             	4    ?   \  _parent RevealR sCoords R= theRadius Math formatDecimals this _y coordsAbove coordsBelow      N N s       N     RG  N	         H   	 
   
 	   	 
    @8IU@  L<։  L @ ?   \  _parent RevealR sCoords R= theRadius Math formatDecimals this _y coordsAbove coordsBelow      N N s       N     RG  N	         H   	 
   
 	   	 
 @   	D    h} 1u  Ƈ        coordsAbove (123.4,-567.8)             	D    h} 1u  Ƈ        coordsBelow (123.4,-567.8)             	    ?   K  _parent RevealC sCoords ( theCenter ,0) this _y coordsAbove coordsBelow      N N c    NG G  N	         H    	
   	 
   
 	
  $  @8IU@  L<։  L @ ?   K  _parent RevealC sCoords ( theCenter ,0) this _y coordsAbove coordsBelow      N N c    NG G  N	         H    	
   	 
   
 	
 @    ;    PxO @@  @$0 H$@4 Æ4M4L 408P 	K          h *J         @8J% U  @8J`@   	H         h *J         @8J%Ў T  @8J?P@   	D    h} 1u  Ƈ        coordsAbove (123.4,-567.8)             	D    h} 1u  Ƈ        coordsBelow (123.4,-567.8)             	    ?  h  _parent RevealTwoTheta sCoords twoThetaDeg Math abs formatDecimals  this _y coordsAbove coordsBelow      N N  	      N     R     R G  	N	         H   
     
   
   *  C@8I+X@  @8IN@ 
 ,'y%  L<  L!^@ ?  h  _parent RevealTwoTheta sCoords twoThetaDeg Math abs formatDecimals  this _y coordsAbove coordsBelow      N N  	      N     R     R G  	N	         H   
     
   
  @   	    ?  >  xlabel _currentframe gotoAndStop ylabel theC theR twoThetaP  RefreshLabels      N    I           R           R  N    I          R          R  N    I          R          R  N    I          R          R  N    I          R          R ?   <  _parent ApplicationType grid_inertia _visible grid_stress    N    I !   O   O     O  O    & [  grid_inertia    & ]  grid_stress  9    @8M    &     @8M    &     @M\@    &    & j  circle    &% l m xCorrect    &' n ԀxWrong    &) l  yCorrect    &+ n yWrong    &- s acute    &3 h xdot    &5 i jydot L   7 x  xlabel     /     coordsAbove  coordsBelow       L   ; |  ylabel     /     coordsAbove  coordsBelow       ?  @8Neh     & @    @8Ng    & A  @8Nk     & B    @8Nm    & C V   @Ni     &    &D ~ } one    &F ~  two    &H ~ three    &J  one    &L  `one J   N  `theR     /     coordsAbove  coordsBelow       J   R  theC     /     coordsAbove  coordsBelow          &V  min2    &\  : max1 O   b  qtwoThetaP     /     coordsAbove  coordsBelow          &h h  centerDot @      6  ŏ\Ǯ8$΀. mmc z   x tB 
< Øh <xӤ͘ ^sʐʔʨHΠ ^ǈnHμп ^ ^Ƙ ^ssпʼnʔ ^sդͨHʴJJ ^ ^ ^  #?ʨHʠsʹ ^ʴJJʔ ^aΤs(п ^HsJ K ^ ^XJпnʈʔ ^Μc ^ ^пՈnHʴJ ^sʨHΈn ^  P<ппnʹ ^Lпǐ ^п ^ ^ʼΔ ^SQ ^aΤs(п ^HsJ ^Hп ^μпnsǐnʔ ^Hn ^  }9ιʼnп ^Μc ^HΘsnH ^մJnnʔ ^ʴJμΠ ^n͘ ^sHμjʴJ ^èHп ^ʼΔ ^  4sΔǐnп ^Μc ^HΘsnH ^մJnnʔ ^ʴJμΠ ^n͘ ^ܸsnHʴJ ^èHп K l   @ *p@ @ @ @ @ @ @ @ @ ?    m R 7 @ m ?    @ @ @ @    p *$ 
< Øh  lΨHnп ^μ ^n͘ ^HsJ ^ssпʼn ( #ιƨHΈnHμп ^Μc ^ιʼn ^ʼΔ ( P!sΔǐn ^Μc ^HΘsnH ^n͈n ^èHпn ^n (Y}ܸsHп ^sHʼjnHμп K m   @\8 @ @ @ @ @ ?    n R A @ n ?    @ @ @ @ y    h)xQ 
< Øh  xӤ͘ ^ʼns ^E ^Μc ^aΤs(п (2#HsJ ^Hп ^Jΐnʔ ^n8L n  ]9~ o $  @OHEďp   @OJEĊq O  Hr    ?OOIds  @OMPB,t    @ONB̏u   @OOB,v  @OQB,w    @OSB@ @ @ @ @ ?    x R K @ x ?    @ @ @ @ u    hQ+ 
< Øh  xӤ͘ ^sʔʨHп ^p ^Μc ^aΤs(п (@#HsJ ^Hп ^ͨHܸʼ ^8L x  ]9e y  `z   @8ONv`{   @ @[$|   .@ C[t}   .@ K[t~   .@ M \|  @8OP`  @8OR$`  @OS`   .@'Rb_l    ?D_l   v?OGc  @OE
\|   v@OF>]  x@)Gl\|  @OId\|   v@OJ]   @8Nw0   @8N|	0@ @ @ @ @ ?     R U @ l m n o p q r s t u v w x y z { | } ~               ?    @ @ @ @    BX  
< Øh 9xӤ͘ ^͘ιns ^Μc ^n͘ ^HsJ ^ʼ ^Ƙ ^пʔ ^n ^[ʐHJHjn ^n͘ ^  #?ʴJǴJnHμ ^Μc ^ܸsHп ^s՘snHп K ^ ^Ps ^ÈʹմJQ ^n͘ ^ܸʴJǘп ^Μc ^  P8n͘ ^èHǹ ^ʼΔ ^HΨHǹ ^ιʼnп ^Μc ^HΘsnH ^ʼ ^Ƙ ^[ǼΔ ^  }=csι ^n͘ ^ΨHnп ^͘s ^n͘ ^HsJ ^sппп ^n͘ ^sHμjʴJ ^èHп K l   @ *p@ @ @ @ @ ?    m R _ @ m ?    @ @ @ @ y    p *8 
< Øh  xӤ͘ ^èHǹ ^ιʼn ^Μc (#HΘsnH ^Hп ^[ǼΔ ^csι8L m   ?f     nИQU  
< Øh  ʼΔ ^n͘ ^Hǹǹ ^ιʼn (
#Μc ^HΘsnH ^Hп ^[ǼΔ ^csι8L n   ?x@o $  @OLF-Dp   @OI-Dq  @8OG-Dr T   @8OHH-s    @ONv-Dt    @OP-Du $  @OL?̏v   @OJ6?̏w  @8OGh?̏x U   @8OH@ly  .@'N?̏z    @OP?@ @ @ @ @ ?    { R i @ { ?    @ @ @ @    nfT[ 
< Øh xӤ͘ ^sHʼjnHμ ^Μc ^n͘ ( #sHΐHՈʴJ ^Øп ^ʼ ^Ƙ ^[ǼΔ (zPпHΠ ^n͘ ^HsJ ^͘ιns (}ʼΔ ^nHΠ ^n͈n ^ʼΠʹJп ^H (aΤs(п ^HsJ ^s ^ǌƴJ (_ʼΠʹJп ^LMпn ^JH ^n͘ (nsʼп[snHμ ^ǈnHμпS K {   )?NwE`@ @ @ @ @ ?    x     j >   i @ P   Q   @˟>   Q   @˟    *" Q   @˟    M>          |  s @   l m n o p q r s t u v w x y z { | ?    
   coach_start %    `+@ 
< Øh ,ݹ4       >       >    @  i @ P    @     y@'
!>      y@'
!    *"    y@'
!    M>            ŀ  8Gt c    p<H 
< M`%Et&!%g&$ &̥ a&%̥9 g̥j! & g&!̥ԝg! 
   @>d<    x z@K 
< Øh 9XJ ^n͘ ^[δJJHΠ ^пʼΘпQ ^ ^HJJ ^Jʈs ^ƈпHп ^Μc ^aΤs(п ^  #?HsJ ^Μc ^HΘsnH K ^ ^=	 ^пn ^Μc ^HΘsnH ^ܸʴJǘп ^ssпμΔʨHΠ ^n ^ ^  P5п͈՘ ^HJJ ^Ƙ ^п ^H ^n͘ ^՘s ^sHͤn ^sΘs ^Μc ^n͘ ^  }2пʼΘ K ^ ^} пHΠ ^n͘п ^ܸʴJǘпQ ^ ^HJJ ^Jʈs ^ ^n8L( 8 ^ ^մJn ^aΤs(п ^HsJ ^[s ^п՘ʐHcHʔ ^ιʼnп ^ʼΔ ^sΔǐn ^h
Μc ^HΘsnHʃ( ^
( ^ ^ʴJǴJn ^n͘ ^ʼns ^Μc ^aΤs(п ^HsJʃ( ( ^ ^ʴJǴJn ^n͘ ^sʔʨHп ^Μc ^aΤs(п ^HsJʃ( 0 ^ ^ʘnsHΘ ^n͘ ^èHǹ ^ʼΔ ^HΨHǹ ^ιʼnп ^Μc ^h?HΘsnHʃ( 6 ^ ^ʘnsHΘ ^n͘ ^ʼΠʹJ ^csι ^n͘ ^ ^èHп ^n ^n͘ ^èHǹ ^hsHΐHՈʴJ ^èHп ^H ^aΤs(п ^HsJʃ(  9 ^ ^nsʼпJn ^n͘ ^ʼΠʹJ ^[ǼΔ ^H ^aΤs(п ^HsJ ^n ^n͘ ^v ^hM&пՈnHʴJ ^sʨHΈn ^ппnʹ ^[s ^n͘ ^sʈ   @ m|w     j >   i @ P   Q   @˟>   Q   @˟    *" Q   @˟    M>        u    t @  
   ?     sigmaX           sigmaY           tauXY         )          GenerateRandomStressParameters =          ClearTheCircle =          RefreshZShape =  coachFlag           RevealTheCircle   RevealCoords    RevealC    RevealR    RevealTwoTheta   
	   generate 9    h  
< M`mYj&ԝԝg&$  !&  B    @>d<	    ?  >  xlabel _currentframe gotoAndStop ylabel theC theR twoThetaP  RefreshLabels      N    I           R           R  N    I          R          R  N    I          R          R  N    I          R          R  N    I          R          R ?   <  _parent ApplicationType grid_inertia _visible grid_stress    N    I !   O   O     O  O    & [  grid_inertia    & ]  grid_stress  9    @8M    &     @8M    &     @M\@    &    & j  circle    &% l m xCorrect    &' n ԀxWrong    &) l  yCorrect    &+ n yWrong    &- s acute    &3 h xdot    &5 i jydot L   7 x  xlabel     /     coordsAbove  coordsBelow       L   ; |  ylabel     /     coordsAbove  coordsBelow       ?  @8Neh     & @    @8Ng    & A  @8Nk     & B    @8Nm    & C V   @Ni     &    &D ~ } one    &F ~  two    &H ~ three    &J  one    &L  `one J   N  `theR     /     coordsAbove  coordsBelow       J   R  theC     /     coordsAbove  coordsBelow          &V  min2    &\  : max1 O   b  qtwoThetaP     /     coordsAbove  coordsBelow          &h h  centerDot @   k      @  u mmc     J      _parent EvaluateMouseClick      "     "     R   4    X ]  	< Øh ,ћc*n.@0 #Krn w     j >   i @ P      @˧5>      @˧5    *"    @˧5    M>        }  l  u s  ŀ  8G u 	+    g!1u Øh        sSigmaX +123.5 	+    g!1u Øh        sSigmaY +123.5 	*    g!1u Øh        sTauXY +123.5 	c     : ޙޘ\   ;  @ @  @8L    &     @8L     &    @8L`    &   @'@  @8L    & 	    @8LB    & 
   @8Lb    &   @'B  @8LN    &     @8Lv    &     @LDu    &    @8LdN    &   @'DN@      6{   @ OT` u given ?    ! centroid_target       o9p  < %@*o@V  9    m)\  Øh        5Ajb9UkNV[@ ?    ! centroid_target ?    ! centroid_target ?    ! centroid_target 	     ?     :   F   ? ! ̀ /     H ր I )A@ ?      
 ̀ 0 @@ ?       @ 
 ΀ 0  @ ?        
 ΀ P  @      6  QQu theZ @ ?     coachFlag     
   flag1     n	-2 M `' jm'  hq&&v )h 'mRf -٦m   s00  @`fe  ` hID 
@IĚI   iIh f    f=~    hoQ 	< Øh mi+v< 	 <   *t< 	 H<   #
]*64̫I@7RͨPū:EM٨rA,     ?Nk]bP@ ?     coachFlag     
   flag2     hxzQ  	< Øh mi+v< 	 $<   *tÝ% < 	 H<   ?#
]*64̫I@7RͨPū:EM٨rA,    ?Nib`@ l ?     coachFlag     
   flag3 1    ` 
< Øh ,ʤܘِʰʃ#4      j >   i @ P      y@'u>      y@'u    *"    y@'u    M>                  CheckThePlottedPoints = l  x  ř=~b    `B 
 
< Øh  
EJH ^n͘ ^٨rz #͘ʐ ^ʄØh ^\Pnnμ K   9E@@ l ?5     coachFlag AttemptsToPlot       P 
   flag4 3    `,H 	< Øh ,󧈃 #Cn&D۠      j >   i @ P      y@'u>      y@'u    *"    y@'u    M>                  CoachPlotting = l  y  H    h|R  	< Øh 
yK6fPZ3$^ݢd #Ã;f8dm2/bմ;SvR/D3( P;Sp1$jnzEyeHA,W}mi*fTL2/HQ"E٨r%
ݙϧT3beTHA,   @
NjO@ l ?     coachFlag     
   flag5      j >   i @ P   Q   @˟>   Q   @˟    *" Q   @˟    M>                  CoachPlotting = l  z     hNR 
< Øh4 xӤ͘ ^ΨHnп ^sʃ# ^пnHJJ ^n ^մJnnʔ ^-PssʐnJQ ^n ^JnFп ^}μnHǘ K ^ ^EJH٨r	 ^ʤ͘ʈʔ K   @
NgO@ l ?     coachFlag     
   flag6      j >   i @ P   Q   @˟>   Q   @˟    *" Q   @˟    M>                  CoachPlotting = l  {     h'TR> 
< ØhU eHʴJ ^μΘF #EJH ^٨r ^ʤ͘ʈʔʇØhPn ^s0}aΤsFп ^HsJ K    	@ mX@ l ?*     coachFlag      RevealCoords  
   flag7 w     j >   i @ P   Q   @˟>   Q   @˟    *" Q   @˟    M>        }  l  |  f=~    hR@ 
< Øh  xӤ͘ ^ssʐn ^ ^Q #aΤsFп ^HsJ ^ PпǴJ ^Jΰ}
JH ^nͨHп K    &@ q[p@  l s {    ?   !          ShowCorrectBasicCircle =          ShowGivenValues =          RefreshZshape =  userCenter     AttemptsCenter           RevealCoords  
   center_start G    p/ >@ 
< M`Et&0ԝ! g̥j! !&ԝ!̥ Et    @ d<   6  @  } mmc #    ` ` 	< Øh,{wS͜π  /    \|Y      kEhhRhZ[V$.ΣGCp      j >   i @ P      >@rK>      >@rK    *"    >@rK    M       &  AttemptsCenter EvaluateCenterAnswer    P         = l  `} w     j >   i @ P      @˧5>      @˧5    *"    @˧5    M>          s  } z  ŀ  8G }    6  QQ} theZ    6   @ OT` } given 	/    `j.Ѕ)u 99        userCenter +123.50   J $ ɀ `CU  ř9G!     h	Q  
< ØhA  Lns ^n͘ ^ܾʴJǘ ^ #cs ^n͘ ^ʼns ^E E=PΜc ^n͘ ^HsJ K     ?NQ  +ѫ9     h]Sm 
< Øh } п ^n͘ ^#sʨHΈnп ^iPΜc ^ÄØh ^ʼΔ ^Øh ^n΃}ιnʃn͘ ^HsJFпʼns ^E K   ޿9h>@ ?    
   center_wrong  3OI"a    h\Q  
< Øhr  xӤͨHп ^ܾʴJǘ ^Hп ^Hΐssʐn K ^ <w #pʐʴJJQ ^n͘ ^ʼns ^E ^Μc ^ Pn͘ ^HsJ ^Hп ^ͨHܾʼ ^8L    ?| $  @NĀ   @N9Ā O  @    ?N%   -@N q    @N"ٸ   @N%1   -@N)    @N,@ l s          ?    
   center_giveup l > `i @ o P `p R   f8    hKVRX  
< Øh E ^Hп ^пnHJJ ^n ^"#ssʐnQ ^n ^JnFп ^[PμnHǘ K ^ ^EJH٨r }	 ^ʤ͘ʈʔ K   #9 @ p ?   _ 	 correctCenter sigmaY sigmaX CenterOfCircle FactorOf10 userCenter Math formatDecimals RevealC        = <	          R  
   center_correct w     j >   i @ P   Q   @˟>   Q   @˟    *" Q   @˟    M>          p    f9G!     hhRX  
< ØhS xӤ͘ ^ssʐn#ܾʴJǘ ^cs ^n͘ ^ Pʼns ^E ^Hп ^п K :  }EJH ^٨r	 ^ʤ͘ʈʔ K   @ M @ ?     RevealC  
   center_right  ųٸ9G! t    hxBbX  
< Øh 	EssʐnFF#eH ^sFFPEJH٨r }	 ^ʤ͘ʈʔ K   @	NP @  l o p z      ?   !          ShowCorrectBasicCircle =          ShowGivenValues =          RefreshZshape =  userRadius     AttemptsRadius           RevealCoords   RevealC   RevealR   
   radius_start G    p>@ 
< M`Et&0ԝ! g̥j! ̥! g qm    '@ d<   6  @   mmc      j >   i @ P      >@rK>      >@rK    *"    >@rK    M       &  AttemptsRadius EvaluateRadiusAnswer    P         = l  ` w     j >   i @ P      @˧5>      @˧5    *"    @˧5    M>          s   z  ŀ  8G     6  QQ theZ    6   @ OT`  given 	/    `j.Ѕ)u 99        userRadius +123.50   J  ɀ `BU ţ9G!     hQ  	< ØhA  M{;St̬`7R͙{uLI[1e ^4 #ǃ;3MԳfe ^*VUD//8 =P9Y2/HED     ?Q  +ѫ9     hSk 
< Øh } п ^n͘ ^#sʨHΈnп ^PΜc ^ÄØh	 ^ʼΔ ^n͘ ^W }HsJFп ^ʼns ^EØh ^ n ^ιn ^n͘ ^sʔʨHп ^p K   ޿9h>@ ?    
   radius_wrong  *K"a    h\Q  	< Øhr  yK6FۯeZJُ3(D$^Α{;3g9R/u7K   #q3*ELIV(^K6fPq2eTHُ31^ PK6fP39Ƚ3(DfH}3*p8N&     @N|   @  @?N/mp   @   F@    F@*    F@,   *@?N4a`   @?N6   @N8Џ   F@.7E   ?   ?N!   @N    @N  @0!U   @N%E    @N'  @?N
`   @?N`@ l s                    ?    
   radius_giveup l > `i @ o P `p R   f9G!     hKVRX  
< Øh p ^Hп ^пnHJJ ^n ^"#ssʐnQ ^n ^JnFп ^[PμnHǘ K ^ ^EJH٨r }	 ^ʤ͘ʈʔ K   ;E@@ p ?   e 
 correctRadius tauXY sigmaY sigmaX RadiusOfCircle FactorOf10 userRadius Math formatDecimals RevealR         = <	          R 	 
   radius_correct w     j >   i @ P   Q   @˟>   Q   @˟    *" Q   @˟    M>          p    ųٸ9G!     hDURX  
< Øh xӤͨHп ^ܾʴJǘ ^HпC#n͘ ^ssʐnPsʔʨHп ^p K ^ ^EJH٨r}	 ^ʤ͘ʈʔ K   @	NN @ ?     RevealR  
   radius_right   @	NP @  l o p z        ?   !          ShowCorrectBasicCircle =          ShowGivenValues =          RefreshZshape =          ShowMaxPrincipal =
  userI1     AttemptsI1           RevealCoords   RevealC   RevealR  

   max_start '    h   
< M`Et&0ԝ!       PMH < 	    kZNX     M  )    FT0  t-]KBilVOe   kZKpC     M    6  @   mmc      j >   i @ P      >@rK>      >@rK    *"    >@rK    M         AttemptsI1 EvaluateI1Answer    P         = n  ` w     j >   i @ P      @˧5>      @˧5    *"    @˧5    M>          u   |  ŀ  8G     6  QQ theZ    6   @ OT`  given 	+    `j.Ѕ)u 99        userI1 +123.50   J  Ɂ`TBU T ɀ `TDdVp  f9     hR@ 
< Øh  Lns ^n͘ ^ܾʴJǘ ^. #cs ^n͘ ^èHǹ VP
ιʼn ^Μc ^}HΘsnH ^ ^ ^ K   8      &       &   +9    h(TRSm 
< Øhg 	xӤ͘ ^ΨHn#μ ^n͘ ^HsJ ^ Pcsn͘пn ^n ^n͘ ^ }sHͤn ^Hп ^n͘ ^ ^
ιʼn ^Μc ^OHΘsnH K   9u0 @  ?    

   max_wrong  Fn$A    hRX 
< Øh xӤͨHп ^ܾʴJǘ ^Hп ^? #Hΐssʐn K ^ ^pʐʴJJQ ^n͘ ^P PèHǹ ^ιʼn ^Μc ^ }HΘsnH ^ ^ ^ ^Hп ^ͨHܾʼ ^8L    +@N		 $  @N#!Ѐ   @NYЀ  -@?NЀ T  @?N%    @N'Ѐ   @N,EЀ   @p    &    @    & @ n u        ?    
   max_giveup n > `i @ q P `r R   f9   1@    &   >@    &     h(RX  
< Øh  ^ ^ ^Hп ^пnHJJ ^n ^\ #ssʐnQ ^n ^JnFп ^ PμnHǘ K ^ ^EJH٨r:}	 ^ʤ͘ʈʔ K   +,@@ r ?   d 
 correctI1 sigmaY sigmaX CenterOfCircle tauXY RadiusOfCircle FactorOf10 userI1 Math formatDecimals        =       =G <	          	R 
   max_correct w     j >   i @ P   Q   @˟>   Q   @˟    *" Q   @˟    M>          r    Abq       h.XHR 
< Øh  xӤͨHп ^Hп ^n͘ ^ssʐn ^|#ܾʴJǘ ^cs ^n͘ ^ PèHǹ ^ιʼn ^}Μc ^HΘsnH ^ ^ ^ K ^ ^EJH٨rC	 ^ʤ͘ʈʔ K   @H@   ?    

   max_right  ųٸ9   @	NM}@  n q r |    ?   !          ShowCorrectBasicCircle =          ShowGivenValues =          RefreshZshape =          ShowMaxPrincipal =          ShowMinPrincipal =
  userI2     AttemptsI2           RevealCoords   RevealC   RevealR  

   min_start     PtH 	< 	       6  @   mmc      j >   i @ P      >@rK>      >@rK    *"    >@rK    M         AttemptsI2 EvaluateI2Answer    P         = n  ` w     j >   i @ P      @˧5>      @˧5    *"    @˧5    M>          u   |  ŀ  8G     6  QQ theZ    6   @ OT`  given 	+    `j.Ѕ)u 99        userI2 +123.50   J U  f9   ˮ    &   ѻ    &     hTR@ 
< Øh  Lns ^n͘ ^ܾʴJǘ ^i #cs ^n͘ ^HΨHǹ ^P
ιʼn ^Μc ^}HΘsnH ^ ^ ^ ^ K   8    h?xSm 
< Øhg 	xӤ͘ ^ΨHn#μ ^n͘ ^HsJ ^ Pcsn͘пn ^n ^n͘ ^>}Jʜcn ^Hп ^n͘ ^H ^
ιʼn ^Μc ^OHΘsnH K   @  ?    

   min_wrong  Fn$A    hXRX 
< Øh xӤͨHп ^ܾʴJǘ ^Hп ^? #Hΐssʐn K ^ ^pʐʴJJQ ^n͘ ^ PHΨHǹ ^ιʼn ^Μc ^g }HΘsnH ^ ^ ^ ^ ^Hп ^ͨHܾʼ ^8L    +@N		 $  @N#!Ѐ   @NYЀ  -@?NЀ U  @?N%   F@.'Ѐ   @N+Ѐ   @up    &    @m    & @ n u        ?    
   min_giveup n > `i @ q P `r R   f9   s1@    &   c>@    &   +,@@ r ?   d 
 correctI2 sigmaY sigmaX CenterOfCircle tauXY RadiusOfCircle FactorOf10 userI2 Math formatDecimals        =       = <	          	R 
   min_correct w     j >   i @ P   Q   @˟>   Q   @˟    *" Q   @˟    M>          r    FfN"a  Dv` B`    hY:R 
< Øh  xӤͨHп ^Hп ^n͘ ^ssʐn ^|#ܾʴJǘ ^cs ^n͘ ^ PHΨHǹ ^ιʼn ^Μc H}HΘsnH ^ ^ ^ ^ K ^ ^EJH٨rC	 ^ʤ͘ʈʔ K   @0@   ?    

   min_right  ųٸ9   @	NM}@   n q r |         ?9  !          ShowCorrectBasicCircle =          ShowGivenValues =          RefreshZshape =          ShowMaxPrincipal =          ShowMinPrincipal =  userTwoTheta     AttemptsTwoTheta           RevealCoords   RevealC   RevealR   RevealTwoTheta            ShowTheArc = 
   twoTheta_start 3    hԀ 
< M`Et&0ԝ! !&$j!       Pǰ 	<  X   j<Zu(    PmP 	< 	    hZzEp    M  b    P o
  -eF@)/J`6'$뀟f@'J6$hR$d{/lNh
Fnؑ63]zbs=kQU  hZ=N@ `    M    6  @   mmc      j >   i @ P   Q   @˟>   Q   @˟    *" Q   @˟    M>         mmc centerDot _x xdot    N N   N NH 
        o   }  ŀ  8G     6  QQ theZ    6   @ OT`  given   _3OA(b h+
    h6Uǀ 
< Øh@ x ^ʘʜcHΘ ^n͘ ^#sHʼnnHμ ^Μc ^n͘ ^ PsHΐHՈʴJ ^ØпQ ^ ^п͈ʴJJ 8!}ʘnsHΘ ^n͘ ^ʼΠʹJ ^J Ƙnʘʼ ^n͘ ^sʔʨHʴJ ^JHΘ ^	n ^ΨHn ^ÄØh	 ^ʼΔ ^n͘ ^X sHμnʴJ ^sʔʨHʴJ ^JHΘ ^n ^w 1	n͘ ^èHǹ ^ιʼn ^\ ^
Μc ^HΘsnH ^ ^ ^ KØh ^ ^xӤͨHп ^ʼΠʹJ ^Hп ^nsʔ ^, ^ ^ ^ ^ K   ų2U9$  ŴX=Y    &   ų2+=	    &   ų2ٙ=    &   ų2ٙ9@  ų2ٙ9f@@ o   ?              ShowAcuteAngle = 
   twoTheta_acute w     j >   i @ P   Q   @˟>   Q   @˟    *" Q   @˟    M>          o    _A2b   hQ.U  
< Øh } п ^n͘ʃ#sʨHΈnп ^Μc ^PΨHn ^ÄØh ^ʼΔ ^n͘ ^HsJ ^0}ʼns ^EØh ^n ^cHΔ ^n͘ ^MsHμnʴJ ^ʼΔ ^ܾsnHʴJ ^
пHʘп ^Μc ^n͘ ^nsHʼΠʹJ ^>п K ^ ^xӤ͘ʼQ ^п ^n͘ ^G1	Hܾsп ^nʼΠ͘ʼn]^
cǼΐnHμ ^n ^cHΔ ^n͘ʃʼΠʹJ ^, ^ ^ ^ ^ K   ų2U94  ŴX=Ѝ ų2+=a ų2ٙ=I°@ o    ?              ShowAcuteAngle = 
   twoTheta_obtuse o R     hQ.U  
< Øh } п ^n͘ʃ#sʨHΈnп ^Μc ^PΨHn ^ÄØh ^ʼΔ ^n͘ ^HsJ ^0}ʼns ^EØh ^n ^cHΔ ^n͘ ^MsHμnʴJ ^ʼΔ ^ܾsnHʴJ ^
пHʘп ^Μc ^n͘ ^nsHʼΠʹJ ^>п K ^ ^xӤ͘ʼQ ^п ^n͘ ^G1	Hܾsп ^nʼΠ͘ʼn?^
cǼΐnHμ ^n ^cHΔ ^nͨHп\ʐn ^ʼΠʹJ K   @ ?     Rcb}   p*] 
< Øh <i3S@FR9AJLe `x  ^j7)3QMFi1#h_2K!~ ^j7)3S@FR9AJLe Ɍsi1^g LPxbPf92JFR( JT$/3@s8 `g*FraØh	 /"2LQI / }Rf3je9ynDe-4FRS)PZ% Jrc( n`g LPx\2jcr> ^\3#錥sQ N1	S1ͨܨHDe %Øh /  $(l3ˑQI /(3SLc)stp0QI /$/U	4)1Q /*	 #T$4/Ȍ&UsLe/3r5n /5#)yZ%&2dSQ4Le/3@ 1	bj3	sB raØh /"2La(  ^p*KD31 ^9@  F<  /.G	;B *^
j7)3S@FRBnLe Kj)1 ^T$%2Kr!8ƨHLe%2^Fc:8@F&jc( nf9Kj)1 K   ų2h9]@  ųL٪=4xЏ  ųL٪=3	~P  ųL٪9܆@  ųL٪9@  Ŵi94     &   ųL<=8    &   ųL٪9dҀ    & @ o     ?&     mmc   acute N  _visible  O 
   twoTheta_input      j >   i @ P      >@rK>      >@rK    *"    >@rK    M       *  AttemptsTwoTheta EvaluateTwoThetaAnswer    P         = o  ` w     j >   i @ P      @˧5>      @˧5    *"    @˧5    M>          v   	1    `j.Ѕ)u 99        userTwoTheta +123.50   J * Ɂ`TE|Vp  Ɂ\`TAU 
 ɀ _CU  L즆9F q    hPQ 
< ØhW 
Lns ^n͘ ^# #ʠͼΨHnǔʘ ^Μc K PʼΠʹJ ^ ^ ^ ^ ^ ^ ^ ^ K    ?T @Dgà  @7No]   @Nk @    ?    
   twoTheta_wrong  M,x9F N    `(X
8 	< Øh  yK6FۯeZJُ3(D #D/pgfs3*E	`    m?NV!@ o v ?    
   twoTheta_giveup o > `i @ r P `s R   f9x   @8NMy    &     @+TP    &   0    &     h:*RX  
< Øhu  ^ ^ ^ ^ ^ ^ ^ ^Hп ^пnHJJ ^n ^ #ssʐnQ ^n ^JnFп ^PμnHǘ K ^ ^EJH٨r}	 ^ʤ͘ʈʔ K   5@ s ?}   >  userTwoTheta tauXY sigmaY sigmaX TwoThetaPrincipal Math abs         =<        R 
   twoTheta_correct w     j >   i @ P   Q   @˟>   Q   @˟    *" Q   @˟    M>          s    &9|7  @8Nkվ@   @+sM kw    h!YQ 
< Øh  xӤͨHп ^Hп ^n͘ ^ssʐn ^w #ʠͼΨHnǔʘ ^cs ^ ^ ^ ^ ^ ^ ^ ^ K/P ^ ^EJH ^٨r	 ^ʤ͘ʈʔ K   @Ep@    ?    
   twoTheta_right  ų2ٙ9   	@ M9@     r s }         ?3  !          ShowCorrectBasicCircle =          ShowGivenValues =          RefreshZshape =          ShowMaxPrincipal =          ShowMinPrincipal =  userTheta     AttemptsTheta           RevealCoords   RevealC   RevealR           ShowTheArc =  RevealTwoTheta  
   theta_slide S    pL <@ 
< M`i̥g!&ԗ!ԝg&& & 0̥g&g0!j !!      6  @   mmc l > `i @ o P x     j >   i @ P      @˧5>      @˧5    *"    @˧5    M>          p      6  QQ theZ    6   @ OT`  given 	.    `j.Ѝ9u 99        userTheta +123.50   J * Ɂ`TDnVp 
 ɀ _BU@  4JO΍ VV}Î @  04I [[u@@  N8$t
@ ``m@  n=8$ eeec@  8#!  jj]C @  [8#d, ooU#@@  8#7 tqtpM@  z8"C@ yay`D@  	8"dN ~M~L<À @  &8!Z  =<4~@@  F'8!e -,,|@  d8!Dq  $Cz@  F8 |@ 	Cy @  Ż8  #w@@  Ŷd8 $@ u@  ű8䞀 ՠs@  Ŭւ8t  ťM@  Ũ8@ @  ţ<ѡ8 ͸@  Ş\08d@ M@  řz̿8׀ M@  ŔN8  ml@  ŏ8T ]\͜@  Ŋm8 MLM@  Ņ8@ 98uM@  Ł8E )(e@  |48  T̀@  wR8' 	Dz@  rr9852 4Ms@ p ?    
   theta_intro  m8>@p R  w  ŀ  8G   $l  tZtTa@h+
    pi *A 
< Øh TܾHΠ ^ʘnsHΘʔʃo#n͘ ^èHǹ ^ʼΔ ^HΨHǹ ^Pιʼnп ^Μc ^HΘsnH ^ʼΔ ^n͘ ^}!ʼΠʹJ ^ ^ ^ ^ ^ ^ ^ ^csι ^aΤsFп ^HsJQ ^  ^Θn ^ʘʜcHΘ ^n͘ ^sHʼnnHμ ^Μc ^n͘ ^sHΐHՈʴJ ^Øп ^H ^n͘ʃv ^sʨHΈn ^ппnʹ K    @t  @JX6    &    @<v    &    @g{    & @   ?    
   theta_intro1  ){z~T   h W  
< ( 	XJc ^ΨHn ^Ä ^Hп#ƘʴJ ^n͘ ^HsJʃPʼns ^EQ
 ^sHΐHՈʴJy }èHп ^(s ^HJJ ^Ƙ ^snnʔ ^n ^1ʼ ^ʼΠʹJ ^Μc ^ ^ ^ ^ ^ ^EEm ^csι ^n͘ ^ ^èHп Koĕ 1		XJc ^ΨHn ^Äoĕ ^Hп ^ʌܾ ^n͘ ^^
HsJ ^ʼns ^EQoĕ sHΐHՈʴJ ^èHп ^(s ^HJJ ^Ƙ ^snnʔ ^n ^ʼ ^ʼΠʹJʃ	Μc ^ ^ ^ ^ ^ ^Em ^oĕcsιSn͘ ^ ^èHп K   ųR٧9X  ų2+=9X          ų2ٙ9EO         ų2+9Ч     o1	P   ų2ٙ9w    o1	P   XSTa h+
 I   
 , n  *5G;bvr(m7!ہSD  5i3gx~{d\.#g76LܰqkY~xnϘ"cMZQl'c9F 5lV	J	.GI6P
Ӏf$P,}mgX$ߩp2#LX` >>
M7j5T jh Z7mL'H~ 5lV	oeqH	a"wV|+O|zm,qnN[ۖbzG`dp@ug&n{)*4) 5bڎr#_0p!ĕ     Sui GenerisFMORT   p#J, *@@ 
< Øh Psι ^aΤsFп ^HsJQ#ʘnsHΘ ^n͘ ^snnHμ΃.PʨHsʐnHμ ^sǨHsʔ ^n ^snnʏ :} <  ^ΨHn ^ÄØh ^ <  ^ΨHn ^XJØh"μ ^n͘ ^HsJ K ^ ^xӤͨHп ^snnHμ ^HJJƘ ^ʨHn͘s ^JΐHп ^s ^ǼnsJΐHп K    ?͜   @ NGq`   @ NFw@ p     ?v   8  principal_axes _rotation UseColoredArcs RotateTheAxes            O   O           R 
   theta_start      j >   i @ P      y@'u>      y@'u    *"    y@'u    M>       '  AttemptsTheta CheckTheRotatedElement    P         = p   ?l    e''&( M oĕ  !WUe (~^[gZ*	t%ST+ Q AEQT0GBX>  < $hz 	        @ @ ?    @    S    e&0
( 333      bXtUDM0D STGBA@ wXV(X  f 	        @ @ ?    @   f    e  M   XИ6b?V饚]U <6U, B /EtZ{  < #И 	       @ @ ?    @    S   e-` 333      c:)j hifWh(#@E@ 4>_P ;i 	      @ @ ?    @        o'  x oĕ%@ *nƎ     0
   3ff$)ѳA@ 	      @      `/#\  oĕ  	     I`@      	` \  oĕ  	   
  	I@@    5   DCC  
yQ P9%n:Pݕ@%d0 C    
     H   pressingRotate        pressingRotate  	   ?    one _rotation this two posArc _visible posArcMono negArc UseColoredArcs negArcMono _parent userTheta Math formatDecimals  +  RotateTheAxes   &            NO           NO  N	         H ~    O   O  O           NO 	 O 	          NO            NH ~    O 	  O  O           NO  O           NO 8    O   O 	  O   O 
             N     R GO                  NH   
 
 NGO F ^ d     &   posArc F ^ d 	    &   posArcMono F
 a d     &  negArc F a d     &  negArcMono      & / regMark    & @o one    & 
@"ֆA two  ͪU3\@ @ @   ~   ed$l principal_axes     S    pressingRotate point x  y _parent localToGlobal reg this regMark _x _y deltaX deltaY initialRadian Math atan2 _xmouse _ymouse rotationRadian rotationAngle _rotation RotateTheAxes             "	    "    C      R  	N 
N  NG  	N N  NG    C  N  N  N  N       R  N  N  N  N       R       	 !	@-DT  O         =     )I>^E0  h֊T  	< Øh X{8Y2/NcC7f>g9C@p #{i*De^Ε9VVg8T3@/`νx P*64̫I@/K {SvٜgjnfP }K6fPcu^ū΢E1jʴxpfV/gjn{Su,ٙU39^ūv-YYg΢D̫ڛejn:q  9#U   b7$` 	 oĕ 8  f9F=@@ ?    
   theta_wrong   ܸ=890   hR 	< Øh yK6F\ #΢D̫ڛejn:p//  P;Sp39s"Sq(}mi*fTL2/jnӄC6&UD  ř=@ p ?    
   theta_giveup p R   9=48   hRR  
< Øhl xӤͨHп ^ #sHʼnnHμ ^Hп ^  PпnHJJ ^n ^ssʐn K (   }EJH ^٨r ^ʤ͘ʈʔʄØh ;n ^μnHǘ K  ř=y@ p    ?`   6  principal_axes _rotation correctTheta RotateTheAxes    O           R 
   theta_correct x    j >   i @ P   Q   @˟>   Q   @˟    *" Q   @˟    M>          p   [EN^E@   hGHSm 
< Øh xӤ͘ ^ssʐn ^#sHʼnnHμ ^Μc ^n͘ ^MPsHΐHՈʴJ ^Øп ^Hп ^4}п K ^ ^EJH٨r ^ʤ͘ʈʔʄØh ^n ^	μnHǘ K  9E@ ?`   6  principal_axes _rotation correctTheta RotateTheAxes    O           R 
   theta_right  ųٸ9y   @	NIM @   l o p w             ?    
   game_instructions  : QFTu& i @  ; 35FhsExi @   ŀ  8G  w    j >   i @ P   Q   @˟>   Q   @˟    *" Q   @˟    M>            1   h:   
< M`Xj&ԝ̥ԝg&&  B   P H  
< Øh@-x kBR k} kH\ k kH} kڐ̄ k(%*%* kR} V k k  s4x̄ k̄ kqRҘ ka=̄. kبR̄شU kڰרRUU k} kH}̄\ kؤ k  /;̄} k(%* kR} V k k̄רR k kHU} k̄UH k  %-R k;̄} k1
%* kR} V k k kH k} k} kHU} k  ~.} kqRҘ kڰרRUU kxڰ k k kHU} k̄UH\  )̄ k kH k;̄ k}; kHU} k̄UH k} k  0	}xR k kBRR kڐ̄ V  =. k)ژ} kq kR̄}R k҈U k̄̄R k} k k  ;&ڤ kBRUU k kڤB kR k} k̄ k̄R}  &̄̄ kq k} kڐؘ V k k}$ژ k}ژ k҈Uڃ  } kU} k} kبR̄شU k kH}  F} kRR؈} k̄̄}R V  @-  D   @t  D   @sp    & @       ?    cumulativeScore taskScore done_one_flag done_one IsItDone done_two_flag done_two done_three_flag done_three done_four_flag done_four done_five_flag done_five done_six_flag done_six done_seven_flag done_seven value flag instance _visible  TheGameIsWon     A A	 
        =    G	 
        =    G	 
        =    G	 
   	 
    =    G	 
        =    G	 2        =    G	 2        =    G   d   H   >    > IsItDone  instance flag T  A     O         O          > ?(             TheGameIsWon =     
   start_the_game   ŀ  8G   D   e ( hP%kIp h-i' 
& ٶh` kfh 
 &I*   h` 
< hP  (s% ^nп P   %>       $  >      @+  B(    M   B(b;    M   B(5        B(b'        B(h      B(b;h      B(5    *"   B(b'    *"   B(5    M  B(b'    M      correctCounter             cH     >       $  >      @+  D(B    M   Cب    M   Cبi=    M   D(Bu       	 CبE       
 Cبi*        D(Bh      Cبh      Cبi=h      D(Bu    *"  	 CبE    *"  
 Cبi*    *"   D(Bu    M 	 CبE    M 
 Cبi*    M      correctCounter             9JV@  *   h`  
< hP  0% ^nп F   hlQ+  
< hP7  ιմJnʃ #	 ^sΌƴJʹ      >       $  >  y    @+ N    M  L Nh     L    *"  L    M      correctCounter           callingFrom       ! _D<      >       $  >  y    @+ N    M  L Nh     L    *"  L    M      correctCounter           callingFrom       ( ɀ ` (0 ;   gL  
< hP =h	ԍ̔ ̔]        >       $  >      @+ *    M  ) *h     )    *"  )    M      correctCounter            /  5M 4   !g'( 
< hP `0j&ԝ  	H B    "  >       $  >      @+! )p    M ! (! )ph    ! (    *" ! (    M      correctCounter            6 "s<    #b7 @ 
< hP `   $ >       $  >      @+  z˿     M   z˰=<    M   zD     M   zjt    M #	 VU;    M  
 z˽        z˭        zB        ze      # VU'  z˿ h      z˰=<h      zD h      zjth    #	 VU;h     
 z˽    *"   z˭    *"   zB    *"   ze    *" # VU'    *"  
 z˽    M  z˭    M  zB    M  ze    M# VU'    M      correctCounter            = $*  &   %hT  
< Øh 3׽֙ 	   &  %  ?@ @ @ @      6L &&  done_two    6N &*  done_three    6P &+   done_four    6R &cH  done_five    6T &ɀ ` D< done_six    6V &ɀ ` (0 done_seven    6X &s< done_one Z D   @t [ D   @sp    & @      ! ( / 6 = L N P R T V X Z [ ?  $ center sigmaY sigmaX CenterOfCircle FactorOf10 radius tauXY RadiusOfCircle UserValue userI1 StripAnyUnitStrings correctI1 formattedCorrectI1 Math formatDecimals bCorrect1 IsItCorrect ok1 gotoAndStop userI2 correctI2 formattedCorrectI2 bCorrect2 ok2 theta principal_axes _rotation correctTwoTheta TwoThetaPrincipal correctTheta bCorrect3 ok3 revealAnswers UseColoredArcs RotateTheAxes correctCounter * CheckTheCompleteProblem  revealAnswers         = <       = < 	    
=< 	K   G<	         R<      =<           R          R     
=< K   <	         R<      =<           R          R  N<       =<     <      =<           R          R     	  !  O          "R        R        R        R L   L      ##P     > ?-    GenerateRandomStressParameters RefreshZShape userI1  userI2 userTheta ok1 gotoAndStop ok2 ok3 principal_axes _rotation UseColoredArcs           =         =           R        R       	 R 
         O 
  O 
   complete_start    6   @ OT`  given [   'pO>@ 
< M`!mY̥g&g0!j &!&ԝ !&  &̥g!&ԗ!ԝg&&  ' '@ d<   ( j >   i @ P      y@'u>      y@'u    *"    y@'u    M>              CheckTheCompleteProblem =  (    )  >       >    @  i @ P    @     y@'
!>      y@'
!    *"    y@'
!    M>           )ŀ  8G     6#  L̦f9xCJ theZ 	  * ?    one _rotation this two posArc _visible posArcMono negArc UseColoredArcs negArcMono _parent userTheta Math formatDecimals  +  RotateTheAxes   &            NO           NO  N	         H ~    O   O  O           NO 	 O 	          NO            NH ~    O 	  O  O           NO  O           NO 8    O   O 	  O   O 
             N     R GO                  NH   
 
 NGO F ^ d     &   posArc F ^ d 	    &   posArcMono F
 a d     &  negArc F a d     &  negArcMono      & / regMark    & @o one    & 
@"ֆA two  ͪU3\@ @ @     * *L̦f9xCJ principal_axes   B @ #  F  theKey Key getCode RIGHT UP this _rotation LEFT DOWN PGUP PGDN HOME            R<    NIL     k   IL     +   IL      NI *      A N	 ?# 8    NIL     m   IL     -   IL      NI *      A N	 ?G#      	NI &      A N    # p     
NI &      A N    G# 1     NI       A        #      pressingRotate point x  y _parent localToGlobal reg this regMark _x _y deltaX deltaY initialRadian Math atan2 _xmouse _ymouse rotationRadian rotationAngle _rotation ok3 gotoAndStop RotateTheAxes             "	    "    C      R  	N 
N  NG  	N N  NG    C  N  N  N  N       R  N  N  N  N       R       	 !	@-DT  O        N R         =   E >   @ `i @ H P   @ `I * Ɂ`T]`J 
 ɀ _%W	.   +`j.Ѝ9u 99        userTheta +123.50 K +[,   ,h`}  	< oĕ  {;3g9R/u7  (   -hP,` 
<   sμΠ 	;   . ?    @ ?     ,  @'̦j@ ?     -@      6L .5#P  ok3 N >   @ 5+ i @ Q P   @ 5+ 	+   /`j.Ѕ)u 99        userI2 +123.50 R /4גS  Ɂ`T.{( T U ɀ `T57    6U .5"0 ok2 W >   @ j6i @ Z P   @ j6	+   0`j.Ѕ)u 99        userI1 +123.50 [ 0ilV\  Ɂ`T\Ӧ] T ɀ `TkC   6^ .jDE  ok1 a  n9   1h"  	 Ƈd   Dlfdcj Dhv~[czDwØh  NdplX    _Ndpl6~  <  >|l b 1386Z c   2`! 	 Øh  Hu  Hu Hu _Hu  <clwl[ c 239&v?d   3m3*"U Øh bk,V]]K3c2Q˲olʎTZv&TveQePoDmlfvfld 3f39\G f  )IFxQg 9 h 9}vO@  h ?    
   complete_first_try    4 j >   i @ P      y@'u>      y@'u    *"    y@'u    M>              CheckTheCompleteProblem =  4 f 8C{xQ   5h<R 
< Øh xӤ͘sʃ#Hп ^ʼ ^sss K ^ ^* PTܾ ^ʼn͘s Rh}ns ^n ^nͨHп ^sΌƴJʹ K g 5 !?f}@  ?    
   complete_second_try    6 j >   i @ P   Q   @˟>   Q   @˟    *" Q   @˟    M>             CheckTheCompleteProblem =  6    7hjR  
< Øh tssQ ^nͨHп#Hп ^Hΐssʐn K ^ ^j PEJH ^٨r ^ʤ͘ʈʔʄØh ^ }cs ^n͘ ^ssʐn ^ʼпs K g 7 !?c}@  ?    
   complete_reveal x   8 j >   i @ P   Q   @˟>   Q   @˟    *" Q   @˟    M>           8 f ų2ٙ9汀   9hRTbX  
< Øhx TsF ^п<#n͘ ^ssʐn ^?Pʼпs K ^ ^EJH٨r}	 ^ʤ͘ʈʔ K g 9 	@ aͅ@  ?    
   complete_correct   : j >   i @ P   Q   @˟>   Q   @˟    *" Q   @˟    M>       ;  correctCounter callingFrom done_six_flag done_seven_flag       I J      I          I           : f ų2ٙ9F g   	@ c]@     # * E H I J K L N Q R S T U W Z [ \ ] ^ a b c d f g ?s    theta principal_axes _rotation correctTwoTheta tauXY sigmaY sigmaX TwoThetaPrincipal correctTheta bCorrect IsRotationCorrect correctCounter ok1 gotoAndStop  CheckTheRotatedElementGame       N<       =<      	      
=< 	 +  P        R            R > ?  H RevealTheCircle RevealCoords RevealC RevealR RevealTwoTheta GenerateRandomStressParameters ShowCorrectBasicCircle ShowGivenValues RefreshZshape ShowMaxPrincipal ShowMinPrincipal ShowTheArc principal_axes _rotation UseColoredArcs RotateTheAxes userTheta  ok1 gotoAndStop correctCounter one_more_time _visible mmc RefreshLabels                =         =         =         =         	=         
=         =          O   O          R         R     I    O     O          R 
   game_theta_start    '@ d<   6  m8>@ mmc l > `i @ o P `   6p .0 ok1 	.   ;`j.Ѝ9u 99        userTheta +123.50 r ;Js * Ɂ`TDnVpt 
 ɀ _BU   < j >   i @ P      y@'u>      y@'u    *"    y@'u    M>       %          CheckTheRotatedElementGame = u <    =  >       >    @  i @ P    @     y@'
!>      y@'
!    *"    y@'
!    M>          | =ŀ  8G     6  $l theZ 	  > ?    one _rotation this two posArc _visible posArcMono negArc UseColoredArcs negArcMono _parent userTheta Math formatDecimals  +  RotateTheAxes   &            NO           NO  N	         H ~    O   O  O           NO 	 O 	          NO            NH ~    O 	  O  O           NO  O           NO 8    O   O 	  O   O 
             N     R GO                  NH   
 
 NGO F ^ d     &   posArc F ^ d 	    &   posArcMono F
 a d     &  negArc F a d     &  negArcMono      & / regMark    & @o one    & 
@"ֆA two  ͪU3\@ @ @      >ed$l principal_axes   B @ A  T  theKey Key getCode RIGHT UP this _rotation LEFT DOWN PGUP PGDN HOME RotateTheAxes            R<    NIL     k   IL     +   IL      NI *      A N	 ?# 8    NIL     m   IL     -   IL      NI *      A N	 ?G#      	NI &      A N    # p     
NI &      A N    G# 1     NI       A        #         =      pressingRotate point x  y _parent localToGlobal reg this regMark _x _y deltaX deltaY initialRadian Math atan2 _xmouse _ymouse rotationRadian rotationAngle _rotation ok1 gotoAndStop RotateTheAxes             "	    "    C      R  	N 
N  NG  	N N  NG    C  N  N  N  N       R  N  N  N  N       R       	 !	@-DT  O        N R         =      6   @ OT`  given   )IFAd  5a 5Ed  n9{ 1398  239&: 3f39Е    ?hQX@ 
< Øh 
I ^Hn ^μΘ ^ #s ^nH ^n ^F PιմJn ^nͨHп ^}пHJJ ^nп K 	.   @ ?      ų2ٙ ? %@ m@      6 @ř̦4) one_more_time @ u  
   game_theta_wrong u R   o9q  7l5zc@ u ?   F  principal_axes _rotation correctTheta RotateTheAxes ok1 gotoAndStop    O           R        R 
   game_theta_reveal x   A j >   i @ P   Q   @˟>   Q   @˟    *" Q   @˟    M>          u A  [ENAd  5U7@ u ?   F  principal_axes _rotation correctTheta RotateTheAxes ok1 gotoAndStop    O           R        R 
   game_theta_correct    B j >   i @ P   Q   @˟>   Q   @˟    *" Q   @˟    M>         correctCounter     I !   done_five_flag        u B  ųٸ9   @	MYX @  l o p r s t u |           ?t  & CoachFlag ClearTheCircle mmc xdot _visible _x x _y y xlabel PositionLabel ydot ylabel ShowCorrectBasicCircle correctCounter b1 b2 xPix sigmaX xPixels yPix tauXY yPixels dx dy ds Math sqrt xCorrect xWrong sigmaY yCorrect yWrong GamePlotting sigma tau sigmaLowerLimit sigmaUpperLimit  GamePlotting  x y   	         I           = >       I l   N O  N O  N O    	N    
=   V      I l   N O  N O  N O    N    
=          I .  L    
               I           =   c       I           =   4       I   P         =   > CheckThePlottedPointsGame    A A     =<     =<   N N<   N N<    G<      R     H c   N O  N  N NO  N  N NO  ^   N O  N  N NO  N  N NO       =<             =<   N N<   N N<    G<      R     H c   N O  N  N NO  N  N NO  ^    N O   N  N NO   N  N NO        != >% EvaluateMouseClickGame  xPix yPix        IL        I   > "    < #            < " $HL   % "H   > # HL      #H   >      != > ?L    RevealTheCircle RevealCoords RevealC RevealR RevealTwoTheta GenerateRandomStressParameters ClearTheCircle RefreshZShape coachFlag correctCounter one_more_time _visible                    =         =         =          	    I   
 O   
  O 
   game plotting    @>d<	  C ?  >  xlabel _currentframe gotoAndStop ylabel theC theR twoThetaP  RefreshLabels      N    I           R           R  N    I          R          R  N    I          R          R  N    I          R          R  N    I          R          R ?   <  _parent ApplicationType grid_inertia _visible grid_stress    N    I !   O   O     O  O    & [  grid_inertia    & ]  grid_stress  9    @8M    &     @8M    &     @M\@    &    & j  circle    &% l m xCorrect    &' n ԀxWrong    &) l  yCorrect    &+ n yWrong    &- s acute    &3 h xdot    &5 i jydot L   7 x  xlabel     /     coordsAbove  coordsBelow       L   ; |  ylabel     /     coordsAbove  coordsBelow       ?  @8Neh     & @    @8Ng    & A  @8Nk     & B    @8Nm    & C V   @Ni     &    &D ~ } one    &F ~  two    &H ~ three    &J  one    &L  `one J   N  `theR     /     coordsAbove  coordsBelow       J   R  theC     /     coordsAbove  coordsBelow          &V  min2    &\  : max1 O   b  qtwoThetaP     /     coordsAbove  coordsBelow          &h h  centerDot @   o    C @   mmc     N   "   _parent EvaluateMouseClickGame      "     "     R   s =ŀ  8G     6{   @ OT`  given    6  QQ theZ    6 @ř9P one_more_time @ ?     coachFlag     
   game_flag1   f=~    ?Nk]bP@ ?     coachFlag     
   game_flag2    ?Nib`@ ?     coachFlag     
   game_flag3    D j >   i @ P      y@'u>      y@'u    *"    y@'u    M>       $          CheckThePlottedPointsGame = l D  ř=~  9E@@ l    ?     coachFlag     
   game_flag4    E j >   i @ P   Q   @˟>   Q   @˟    *" Q   @˟    M>                  GamePlotting = l E   H   Fh|R 	< Øh 
yK6fPZ3$^ݢd #Ã;f8dm2/bմ;SvR/D3(P;Sp39s"SqW}mi*fTL2/HQ"E٨r	8LY2eJ   F@
NjO@ l ?     coachFlag     
   game_flag5 x   G j >   i @ P   Q   @˟>   Q   @˟    *" Q   @˟    M>          l G  f=~   &@ q[p@ l ?     coachFlag     
   game_flag6    H j >   i @ P   Q   @˟>   Q   @˟    *" Q   @˟    M>                  GamePlotting = l H  H   	@ mX@ l ?*     coachFlag      RevealCoords  
   game_flag7    I j >   i @ P   Q   @˟>   Q   @˟    *" Q   @˟    M>         correctCounter     I     done_one_flag        l I  f=~   &@ q[p@  l s {  ?)   center sigmaY sigmaX CenterOfCircle FactorOf10 radius tauXY RadiusOfCircle UserValue userCenter StripAnyUnitStrings formattedCorrectCenter Math formatDecimals bCorrect1 IsItCorrect ok1 gotoAndStop userRadius formattedCorrectRadius bCorrect2 ok2 revealAnswers correctCounter  CheckCR  revealAnswers        = <       = < 	    
=< 	K	          R<       =<           R          R     
=< K	         R<      =<           R          R  @  	         R        R L      P     > ?    RevealCoords RevealC RevealR RevealTheCircle GenerateRandomStressParameters ShowCorrectBasicCircle ShowGivenValues userCenter  userRadius ok1 gotoAndStop ok2 correctCounter one_more_time _visible mmc RefreshLabels                  =         =         =  	       
 R        R     I    O     O          R 
	   CR_start 7   Jpc>@ 
< M`Et&0ԝ! Et !&  qm  J '@ d<   6  @   mmc    K j >   i @ P      y@'u>      y@'u    *"    y@'u    M>             CheckCR = l K    L  >       >    @  i @ P    @     y@'
!>      y@'
!    *"    y@'
!    M>          s Lŀ  8G     6{   @ OT`  given    6 @ř9  one_more_time   ñ9@  fF,9x@ ñ9@  fF,9]   > ti @  P t	/   M`j.Ѕ)u 99        userRadius +123.50  Mh  ɀ `HL    6 .px ok2  >   @ J64i @  P   @ J64	/   N`j.Ѕ)u 99        userCenter +123.50  Nd $ ɀ `I(8   6 .pw ok1 @ l  ?    
   CR_first_try    O j >   i @ P      y@'u>      y@'u    *"    y@'u    M>             CheckCR = l O   KCNma 5 9?܎[͌@ l ?    
   CR_second_try    P j >   i @ P   Q   @˟>   Q   @˟    *" Q   @˟    M>            CheckCR = l P  8C{ma 7 !?Y@ l ?    

   CR_reveal x   Q j >   i @ P   Q   @˟>   Q   @˟    *" Q   @˟    M>          l Q  ųٸ9' 9@	NVݛ @ l ?    
   CR_correct    R j >   i @ P   Q   @˟>   Q   @˟    *" Q   @˟    M>         correctCounter     I     done_two_flag        l R  ųٸ9   @	NXu@  l s {               ?O   center sigmaY sigmaX CenterOfCircle FactorOf10 radius tauXY RadiusOfCircle UserValue userI1 StripAnyUnitStrings correctI1 formattedCorrectI1 Math formatDecimals bCorrect1 IsItCorrect ok1 gotoAndStop userI2 correctI2 formattedCorrectI2 bCorrect2 ok2 revealAnswers correctCounter  CheckI1I2  revealAnswers        = <       = < 	    
=< 	K   G<	         R<      =<           R          R     
=< K   <	         R<      =<           R          R  @  	         R        R L      P     > ?    RevealCoords RevealC RevealR RevealTheCircle GenerateRandomStressParameters ShowCorrectBasicCircle ShowGivenValues userI1  userI2 ok1 gotoAndStop ok2 correctCounter one_more_time _visible mmc RefreshLabels                =         =         =  	       
 R        R     I    O     O          R 
   I1I2_start     kZNX     M   kZKpC     M   kZz     M   kZwC     M    S`   
< M`!&   SP    6  @   mmc    T j >   i @ P      y@'u>      y@'u    *"    y@'u    M>             CheckI1I2 = q T x Lŀ  8G     6   @ OT`  given  > ti @  P t	+   U`j.Ѕ)u 99        userI2 +123.50  Uh  Ɂ`THL  U ɀ `TJ\M   6 .px ok2  >   @ J64i @  P   @ J64	+   V`j.Ѕ)u 99        userI1 +123.50  Vd  Ɂ`TH(8 T ɀ `TJX)(   6 .pw ok1    6 @ř9  one_more_time   ñ->   fF,+Z  ñ9  fF,9~)@ q  ?    
   I1I2_first_try    W j >   i @ P      y@'u>      y@'u    *"    y@'u    M>             CheckI1I2 = q W   KCNma 5 9?܎[͌@ q ?    
   I1I2_second_try    X j >   i @ P   Q   @˟>   Q   @˟    *" Q   @˟    M>            CheckI1I2 = q X  8C{ma 7 !?Y@ q ?    
   I1I2_reveal x   Y j >   i @ P   Q   @˟>   Q   @˟    *" Q   @˟    M>          q Y  ųٸ9' 9@	NVݛ @ q ?    
   I1I2_correct    Z j >   i @ P   Q   @˟>   Q   @˟    *" Q   @˟    M>         correctCounter     I "   done_three_flag        q Z  ųٸ9   @	NXu@      q x                    ?;    UserValue userTwoTheta StripAnyUnitStrings Math abs correctTwoTheta tauXY sigmaY sigmaX TwoThetaPrincipal formattedCorrect formatDecimals  bCorrect IsItCorrect revealAnswers ok1 gotoAndStop correctCounter - EvaluateTwoThetaAnswerGame  revealAnswers 7      =<        R  K       	=<      R	 
        R G<       =<  &  
        R O   +  P        R            R > ?   RevealCoords RevealC RevealR RevealTheCircle RevealTwoTheta GenerateRandomStressParameters ShowCorrectBasicCircle ShowGivenValues RefreshZshape ShowMaxPrincipal ShowMinPrincipal ShowTheArc userTwoTheta  ok1 gotoAndStop correctCounter one_more_time _visible mmc RefreshLabels                 =         =         =         =         	=         
=         =         R     I    O     O          R 
   game_twoTheta_start     j<Zu(  hZzEp    M   hZ=N@ `    M    6  @   mmc o > `i @ r P `   6s .0 ok1 	1   [`j.Ѕ)u 99        userTwoTheta +123.50 u [Jv * Ɂ`TE|Vpw  Ɂ\`TAUx 
 ɀ _CU   \ j >   i @ P      y@'u>      y@'u    *"    y@'u    M>       #      EvaluateTwoThetaAnswerGame = y \  =ŀ  8G     6  QQ theZ    6   @ OT`  given    6 @ř̦9  one_more_time @  ?    
   game_twoTheta_first_try   sCNbq   ]h<R 
< Øh0 
xӤͨHп ^ܾʴJǘʃ% #Hп ^n ^ssʐn K N* PTܾ ^ʼn͘s Rh}ns ^n ^nͨHп ^sΌƴJʹ K  ] k?Pٌ@ y ?    
   game_twoTheta_second_try    ^ j >   i @ P   Q   @˟>   Q   @˟    *" Q   @˟    M>       #     EvaluateTwoThetaAnswerGame = y ^  8C{bq 7 !?N@ y ?    
   game_twoTheta_reveal x   _ j >   i @ P   Q   @˟>   Q   @˟    *" Q   @˟    M>          y _  ųٸ9f퀏 9@	NK@ y ?    
   game_twoTheta_correct    ` j >   i @ P   Q   @˟>   Q   @˟    *" Q   @˟    M>         correctCounter     I !   done_four_flag        y `  ųٸ9   @	NM}@     o r s u v w x y      ?    
	   printout ?   ?  myDate Date txtDate toString txtIdentifier Math random round           @           R          R       R 
   #P      ad>     ar0r  a0G*U     ?  : QFTu& i @  ; 35FhsExi @  "   bo__   M%7g'  b@  '   ca6 $
  	 333wnwn  c  @'U  %   d`	000  M M$=´tP0 "   eX` 	 M  fvB_  *   f]_]([   f f5t Zn`|8V  $   g\`]_  M    5kZ}!Lt/
 "   hX` 	   fvB_     i]_0Z  Øh kZz(C_    j Y d =8e  e@ 
4f  e  e@ 
4g  h  e@ 
4i  d =8      printasbitmap:  _level0     j 	4   kxĘ  1  333         txtDate 12 pt Verdana  k@ A i   lp r	 	 333  (P|Bnf}n Tn_nf Tf Tf~n TpTf T_tn TfvB__*m  l &@ `	%   mw
!) M         txtName  m %@LN	1   ng+/
P1  333        txtIdentifier 999999  n  D (     30 3  op,oHp 
< 333Eaa_Ɖ[ԼU[Լ{aaGxMND[[aԼ aƱCx< E& %!! ! !̥B $&&  2& !̥ԝ!& g&$ &r
a&%̥d g̥j! & g&!̥ԝg! l  [y-%!& B& &̥ B&̥ !&̥ԝ l  o@ E @   