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The document will open as a copy.${;` a b c d e f g h i j k l m n o p q _ ,#GSP4_W_0554/Mar 3 20040#x Arial   '''$'$'$'$'$'$'$'$'$'$' $' $' %'&'8'8'8'9':'  =>>>> ==q.#     ?,nQ\aAReturn to Main Menu?&n@@,@@?*@@0.>7.#@nQ\aAB?*@@nQ\aAA8@2@> @   $nQ\aA Orient Page> n    nQ\aAReturnP> n   |"nQ\aA Work Arean(&>>Fac(n   >6n86#>tinC_s@uyeMw@@AL+:l@׾sz@@ @B֘3p@zZ}t@@ @ @nQ\aAD@t@@nQ\aACX@r@@nQ\aAB}@u@@nQ\aAA@0w@@ @ @ @ > @   |&nQ\aA Hide Triangle> n$   |"nQ\aA Show Quad> n    X| $nQ\aA Next Shapen86#>>ti' n   ?,nQ\aABackS?,k? n   nQ\aANextSnBE@`u@@nQ\aAA@_@`u@@ @ "# @$  wk"?*Dilatation Factor "%Db@y@$0@&  R<0>nQ\aAm[14]4n)1  dh<0>)1  \<0>nQ\aAmBL1|r@{uy@@A@wt@D&u@@Ecq@it@@CV m@.y@@ -.@ ./@ /0@ 0-5@-./0nQ\aAP[1]n-<rV@\."@?hC -6 - 17nQ\aAZ -n 47nQ\aAA[1]n0<rV@\."@?hC 0: - 4;nQ\aAB[1] -n 3;nQ\aAC[1]n.<rV@\."@?hC .> - 2?nQ\aAD[1] -n 1?nQ\aAE[1]n.<rV@\.2@?hC .B - 1CnQ\aAA[2] -n 2CnQ\aAZ[1]n-<rV@\.2@?hC -F - 4G - 1G0<rV@\.2@?hC 0J - 4KnQ\aAH[2]n/<rV@\.2@?hC /M - 2NnQ\aAE[2] -n 3NnQ\aAD[2] -n 3KnQ\aAI[2]nB|w@@nQ\aAA4w@@ @ RS @T  9G?*Dilatation Factor RU$0V  <0>0 3Wd kG<0>H<ss D0fw"?`B@p@@nQ\aAAؚ@p@@D,@`@@CjTX@79G@@By@Ѐ@@nQ\aAA~@Ѐ@@ @ YZ @_  9G?*Dilatation Factor Y`$0a   c<0>0 3bd n <0>H<ss D0fw"?`!\[cnQ\aAC'a@ n ]^ ne  9G?*Dilatation Factor ]f$0g  <0>0 3hd <0>H<ss D0fw"?`0 3(d 5$<0>H<ss D0fw"?`!'j!'jB'a!'j!'j!.'jA'ao<rV@\.2@?hC opo<rV@\."@?hC or!55'j9V?P'[1]!/'jE'1u<rV@\."@?hC uv ou - xsnQ\aAH[1] -n xqnQ\aAB[2] -n xwnQ\aAO[1]nu<rV@\.2@?hC u| - x}!0'jC'@<rV@\.2@?hC<rV@\."@?hC   u - } - 2 -  - nQ\aAM[1] -n wnQ\aAN[1]!n1'j!2'j!3'j!4'j!-'jB']<rV@\.2@?hC   - nQ\aAG[2] -n nQ\aAL[1] -n n o -n snQ\aAI[1] -n qnQ\aAC[2] -n nQ\aAF[2]n<rV@\."@?hC  - nQ\aAK[1] -n nQ\aAJ[1]!n'jC']!'jA'])1l  Z<0>[S + Z80000>>0>>>>nQ\aAH[12] )1nl  c3<0>[S , 80000>>0>>>>nQ\aAH[13] 4nl)1l  ^<0>/<rV@\."@?hC / - 3nQ\aAP[1] -n 2nQ\aAQ[1]O CnCEDR DO CKLQR DO CGIHR DO C}~R DO CR DO CqzR DO CNPOR D.<rV@|>G@?hC .@  ./ - nQ\aAP[2]@ n .- -n nQ\aAQ[2]O Cn+1  ?<0>"nQ\aA Angle DABno<rV@|>G@?hC o@  ou - nQ\aAR[2]@ n o -n nQ\aAS[2]O Cn+1  ?<0>&nQ\aA Angle D'A'B'n-<rV@|>G@?hC -@  -. - nQ\aAT[2]@ n -0 -n nQ\aAU[2]O Cn+1  ?<0>"nQ\aA Angle ABCn<rV@|>G@?hC @  o - nQ\aAV[2]@ n  -n nQ\aAW[2]O Cn+1  ? <0>&nQ\aA Angle A'B'C'n0<rV@|>G@?hC 0@  0- - nQ\aAX[2]@ n 0/ -n nQ\aAY[2]O Cn+1  ?"<0>"nQ\aA Angle BCDn<rV@|>G@?hC @   - nQ\aAZ[2]@ n u -n nQ\aAA[3]O Cn+1  ?7<0>&nQ\aA Angle B'C'D'n/<rV@|>G@?hC /@  /0 - nQ\aAB[3]@ n /. -n nQ\aAC[3]O Cn+1  ?L<0>"nQ\aA Angle CDAnu<rV@|>G@?hC u@  u - nQ\aAD[3]@ n uo -n nQ\aAE[3]O Cn+1   <0>&nQ\aA Angle C'D'A'I;n/.-TT@>>>>>>>B I;.-0TT@>>>>>>>B I;oTT@>>>>>>>B I;-0/TT@>>>>>>>B I;uTT,@>>>>>>>B I;0/.TTA@>>>>>>>B I;uoTT&@>>>>>>>B I;uoTT@>>>>>>>B [S  )00000>>>>>>>>>>>>>>>>>>pnQ\aAn[Sn  S00000>>>>>>>>>>>>>>>>>>>>nQ\aAn[Sn  *00000>>>>>>>>>>>>>>>>>>>nQ\aAn[Sn  *00000>>>>>>>>>>>>>>>>>>>nQ\aAnn ~n>><0>>>>>>0xE.#[Sn * V0000>>0>>>>nQ\aAH[14] > nHklmn)    K,nQ\aAHide Triangle Stuffn 'l$0n  E<0>KnQ\aAB'D%0n '  [<0>KnQ\aAm[6]T0 3n  b o<0>H<ss B0MuMQ``nLL9 {1} : {2} = {3} : 1>> 'I;n  As>>>>>> >>>>>>>>>> .# '$0   <0>KnQ\aAC'D%0n '  <0>KnQ\aAm[7]T0 3n b  <0>H<ss B0MuMQ``I;nA>>>>>> >>>>>>>>>> .# '$0  .<0>KnQ\aAA'D%0n '  ?<0>KnQ\aAm[8]T0 3n b <0>H<ss B0MuMQ``I;nAU>>>>>> >>>>>>>>>> .#> T)klmn     &nQ\aA Hide Objectsn 'u%0n /'  g<0>nQ\aAm[9]O$0n  Q<0>nQ\aAE'D0 3n b {<0>H<ss B0MuMQ``I;nll>Y >> .# '$0  Y<0>nQ\aAB'D%0n -'  m<0>nQ\aAm[10]0 3n b <0>7x > B0MuMQ``I;n ll>eY >> .# o'$0"  ]q<0>nQ\aAA'D%0n .'  `<0>nQ\aAm[11]0 3n #$b ]<0>7x > B0MuMQ``I;n#$%ll>OY >> .#%0 '  '<0>nQ\aAm[12]n '%0n 0'  <0>nQ\aAm[13]0 3n ')b <0>7x > B0MuMQ``I;n')*ll>{Y >> .#O CR D,> *-./012345tx,-uo    a2nQ\aAShow Quadrilateral Stuff> n .   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The document will open as a copy.$` a b c d e f g h i j k l m n o p q _ ,#GSP4_W_0554/Mar 3 20040#x Arial     '''$'$'$'$'$'$'$'$'$'$' $' $' %'&'8'8'8'9':'     =,nQ\aAReturn to Main Menu=n0@@@@@0.>7@nQ\aAB@@nQ\aAA0@@> @   $nQ\aA Orient Page> n    nQ\aAReturnP> n   z"nQ\aA Work Arean(&>>Fac(n   >6n86#>tinC\@ʚ*`@@A&ĕfM~@}Augd@@  @BކsF@Vvw O@@ @  @nQ\aAD@0t@@nQ\aACH@@r@@nQ\aAB}@u@@nQ\aAA@v@@ @ @ @ > @    z&nQ\aA Hide Triangle> n$   z"nQ\aA Show Quad> n    Xz$nQ\aA Next Shapen86#>>ti% n   =!nQ\aABackS=!i4 n   nQ\aANextSnBr@g@@nQ\aAAw@g@@ @ !" @#  ^-;?*Dilatation Factor !$$0%  P<0>nQ\aAm[14]4n )1  b]<0>)1   Z<0>nQ\aAmBL1\r@{u&y@@A@wt@D&q@@Ecfq@iMp@@CV дl@.yw@@ +,@ ,-@ -.@ .+5@+,-.nQ\aAP[1]n+<rV@\."@?ncrete m +4 - /5nQ\aAZ -n 25nQ\aAA[1]n.<rV@\."@?ncrete m .8 - 29nQ\aAB[1] -n 19nQ\aAC[1]n,<rV@\."@?ncrete m ,< - 0=nQ\aAD[1] -n /=nQ\aAE[1]n,<rV@\.2@?ncrete m ,@ - /AnQ\aAA[2] -n 0AnQ\aAZ[1]n+<rV@\.2@?ncrete m +D - 2E - /E.<rV@\.2@?ncrete m .H - 2InQ\aAH[2]n-<rV@\.2@?ncrete m -K - 0LnQ\aAE[2] -n 1LnQ\aAD[2] -n 1InQ\aAI[2]nBv@@nQ\aAA<v@@ @ PQ @R  9G?*Dilatation Factor PS$0T  <0>0 3Ud i<<0>7x > D0fw"?`B@~@@nQ\aAAК@~@@D$@@@CjTP@79G@@By@x@@nQ\aAA~@x@@ @ WX @]  9G?*Dilatation Factor W^$0_   X<0>0 3`d l <0>7x > D0fw"?`!ZYaC'a@  [\ c  9G?*Dilatation Factor [d$0e  {<0>0 3fd <0>7x > D0fw"?`0 3&d 3<0>7x > D0fw"?`-<rV@\."@?ncrete m -i - 1jnQ\aAP[1] -n 0jnQ\aAQ[1]O CnACBR DmO CIJOR DoO CEGFR DqO CLNMR Ds,<rV@|>G@?ncrete m ,u@  ,- - wvnQ\aAP[2]@ n ,+ -n yvnQ\aAQ[2]O Cnvxz+1{  ?<0>"nQ\aA Angle DABn+<rV@|>G@?ncrete m +}@  +, - ~nQ\aAT[2]@ n +. -n ~nQ\aAU[2]O Cn~+1  ?<0>"nQ\aA Angle ABCn.<rV@|>G@?ncrete m .@  .+ - nQ\aAX[2]@ n .- -n nQ\aAY[2]O Cn+1  ?"<0>"nQ\aA Angle BCDn-<rV@|>G@?ncrete m -@  -. - nQ\aAB[3]@ n -, -n nQ\aAC[3]O Cn+1  ?L<0>"nQ\aA Angle CDAI;n-,+|TT@>>>>>>>BI;,+.TT@>>>>>>>BI;+.-TT @>>>>>>>BI;.-,TT6@>>>>>>>BLL9 {1} : {2} = {3} : 1>> $<?rV|>7@?ncrete mF[3]  | > |<I;h0.>>>> Z; 0.U>>>> 0.3<0>>><0>>>>3=00 > 0Dx@@V@@Dx@@V@@$">>on @$"M/>on M/H@]@q@Z;@ 863">>ti@<?|>G@?ncrete m@     괁N@   b/@   9@   Z% @Z; $$+>>> >    &nQ\aA Hide Blue DF> n   d&nQ\aA Show Blue DFnnQ\aAI[3]Bx@@V@@x@@V@@ > @    $nQ\aA Expand to A> n   ,nQ\aAShow Highlight Line> n   ,nQ\aAHide Highlight Linen,*=>>r  =QZ;n 00S>>> > n   '"nQ\aAShow ???l> n   O"nQ\aAHide ???ln0.> nDx@@V@@Dx@@V@@Dx@@V@@Dx@@V@@Dx@@V@!@hB'e $0  :<0>O>nQ\aAB'D!nh!h!h!,hA'<rV@\.2@?ncrete m <rV@\."@?ncrete m <rV@|>G@?ncrete m  $0  [f<0>O>nQ\aAA'D!5n3h9V?P'[1]!-hE'1@   - nQ\aAR[2]n  -n nQ\aAB[2] -n nQ\aAH[1]@ n n<rV@\."@?ncrete m  - nQ\aAO[1]n<rV@\.2@?ncrete m  - <rV@|>G@?ncrete m  - nQ\aAE[3]n $0n  F<0>O>nQ\aAE'D!n.hC'@  @   - nQ\aAD[3]O Cn+1   <0>O>&nQ\aA Angle C'D'A'I;nTT$@>>>>>>>B[S  (00000>>>>>>>>>>>>>>>>>>pnQ\aAH[15]n  -n 0 -n nQ\aAN[1] -n O CnR D<rV@\.2@?ncrete m  - <rV@\."@?ncrete m  - nQ\aAM[1]n<rV@|>G@?ncrete m  - nQ\aAA[3]%0n   %<0>O>nQ\aAm[12]n !n/h!0h!1h!2h!+hB'2@    - nQ\aAL[1] -n O CnR D  - nQ\aAC[2]O CnR D - nQ\aAI[1]@ n @ n  -n  nQ\aAZ[2]O Cn +1   ?7<0>O>&nQ\aA Angle B'C'D'@ n  -n nQ\aAS[2] O Cn+1  ?<0>O>&nQ\aA Angle D'A'B'I;nTT@>>>>>>>B[S  'z00000>>>>>>>>>>>>>>>>>>>>nQ\aAH[16]I;nTT!@>>>>>>>B[S  (00000>>>>>>>>>>>>>>>>>>>nQ\aAH[17]n<rV@\.2@?ncrete m  - nQ\aAF[2] -n nQ\aAG[2]O CnR D<rV@\."@?ncrete m  - nQ\aAJ[1] -n nQ\aAK[1]n<rV@|>G@?ncrete m ! -  "nQ\aAW[2] -n "nQ\aAV[2]O Cn"$#+1%  ? <0>O>&nQ\aA Angle A'B'C'I;n&TT@>>>>>>>B[S ' H00000>>>>>>>>>>>>>>>>>>>nQ\aAH[18]> n*(+,-./0123mnopqrst   V2nQ\aAShow Quadrilateral Stuffn $0n*  N<0>V>nQ\aAB'D!n hC' ,$0-  <0>V>nQ\aAC'D!nhA')1,/  a(<0>V>[S *0 -0000>>0>>>>nQ\aAH[19]4n/,)1/,  \<0>V>[S (3 K0000>>0>>>>nQ\aAH[20])1n,/  X<0>V>[S )5 X-0000>>0>>>>e.nQ\aAH[21]> nH ,'2461/   @,nQ\aAHide Triangle Stuff> n 7)   X,*nQ\aAShow Next Figurefn /$0n9  #<0>,>nQ\aAA'Dn/A' ;$0<  /<0>,>nQ\aAm[15] n<Z;n >=00>>>> n;<>?   &nQ\aA Hide A'D free> n;<>?   &nQ\aA Show A'D free> n >   $nQ\aA AD' to Eque> n /   &nQ\aA Expand to A'> nCAB   %Z(nQ\aAAdd A'D to Eque%0n   P<0>Z>nQ\aAm[6]'0 3n Eb d<0>7x > B0MuMQ``I;nEFll6jY >>%0   <0>Z>nQ\aAm[7]'0 3n .Hb <0>7x > B0MuMQ``I;n.HIll5{Y >>%0   4<0>Z>nQ\aAm[8]'0 3n :Kb <0>7x > B0MuMQ``I;n:KL6X>>>>>> >>>>>>>>>>> M   *nQ\aAShow Blue Ratio A> nM   *nQ\aAHide Blue Ratio A> nT ',/2-9JGM   &nQ\aA Hide Objects%0n -  \<0>>nQ\aAm[9]O0 3n Qb p<0>7x > B0MuMQ``I;nQRll9YY >>%0 +  b<0>>nQ\aAm[10]0 3n +Tb v<0>7x > B0MuMQ``I;n+TUll9rY >>%0 ,  ^t<0>>nQ\aAm[11]0 3n Wb [<0>7x > B0MuMQ``I;nWXll9Y >>%0 .  <0>>nQ\aAm[13]0 3n Zb <0>7x > B0MuMQ``I;nZ[ll9Y >>> |+,-./0123S*VY\   &nQ\aA Show Objects> n P]   XO*nQ\aAShow Next Figuren<rV@\.2@? _.Şģ@Centre of Dilatation - -` `A c$0d  <0>O>nQ\aAm[16]0 3n =eb F<0>7x > B0fw``I;nf0.>>>>Z;n g0.>>>>> nh   "nQ\aA Hide = DF> nh   :"nQ\aA Show = DF ndZ;n ke00_>>> > ncdkl   &nQ\aA Hide AD freea> n$Oi@m   X#,nQ\aAPrepPage1 HideShows> ncdkl    &nQ\aA Show AD freee> n k    "nQ\aA AD to Equ> n    J$nQ\aA AD' to home> n    _$nQ\aA AD to home> n    t2nQ\aAReset HighlightLine Pt D> n    .nQ\aAReset Highlight Pt At> n$topjN   %o&nQ\aA Add AD to Equ> nqrst   X#(nQ\aAPrepPage2 MovesnB wB'p y C {,C'p }!ol?k x z ~ |$0x  <0>>nQ\aAm[17]Z;n .$0nz  <0>>>Z;n $0n~  <0>>>Z;n $0n|  <0>>>Z;n .> n    ]&(nQ\aAMove BD to Equ> n    (nQ\aAMove CD to Equ> n    ](nQ\aAMove B'D to Equ> n    (nQ\aAMove C'D to Equ> nLGJwxyz{|}~   #BnQ\aA(PrepPage3 Hide BD, CD free lines, ratios> n    x$nQ\aA Move D -> D> n    $nQ\aA Move D -> D> n    $nQ\aA Move D -> D> n    $nQ\aA Move D -> D> n   X#<nQ\aA#Move all BD, CD free back to C of D> nyz   ]"nQ\aAShow B'DB> nwx   ] nQ\aAShow BD> n{|    nQ\aAShow CD> n}~   "nQ\aAShow C'DBnK[3]Cđ@]@@L[3]Cđ@]@@ $0@  j<0>>@ $$?BD,Forth $$r<f@BD,Back>  $   y8nQ\aAMove Dilatation Factor -> Backo> n $   8nQ\aAMove Dilatation Factor -> Forth> nj   _B(nQ\aAShow Answer DFs> nG   _X&nQ\aA Show BD ratio> nJ   V&nQ\aA Show CD ratio> n, nv   LnQ\aA2Show Me Dilatation Factor calculation with point B> n, nv   LnQ\aA2Show Me Dilatation Factor calculation with point C n   X,nQ\aAReturn to Main MenuXnNrm>>Nr> n   '(nQ\aAShow Extra Btns> n$nv   # (nQ\aAHide Extra Btns> nnv   %/"nQ\aA Open Page> n$nvDu    nQ\aAShow Me n   O,nQ\aAReturn to Main MenuO%QThat document was created with a newer version of Sketchpad and cannot be opened.|This document was created with a newer version of Sketchpad. Some information may be lost. The document will open as a copy.$ ] ` a b c d e f g h i j k l m n o p q _ ,#GSP4_W_0554/Mar 3 20040#x Arial   '''$'$'$'$'$'$'$'$'$'$' $' $' %'&'8'8'8'9':' |z`f>0x6`     ?,nQ\aAReturn to Main Menu?&n0@}@@@}@@@@,@@?*@@t>0T@nQ\aAB?*@@nQ\aAA8@2@> @   $nQ\aA Orient Page> n    |"nQ\aA Work Area> n    nQ\aAReturneQThat document was created with a newer version of Sketchpad and cannot be opened.|This document was created with a newer version of Sketchpad. Some information may be lost. The document will open as a copy.$ l` a b c d e f g h i j k l m n o p q _ ,#GSP4_W_0554/Mar 3 20040#x Arial   '''$'$'$'$'$'$'$'$'$'$' $' $' %'&'8'8'8'9':' xvKc<0>>K     ?,nQ\aAReturn to Main Menu?&n0@}@@@}@@@@,@@?*@@<:'>>>\7@nQ\aAB?*@@nQ\aAA8@2@> @   $nQ\aA Orient Page> n    nQ\aAReturnPnnQ\aAA@C@ @   >HnQ\aA.Instructions for creating Art with Dilatations>W n   >^nQ\aADInstructions for using Geometer's Sketchpad to create Dilatation Art> n   >JnQ\aA1Demonstration of Steps of creating Dilatation Art>{' n   >38nQ\aASee a sample of Dilatation Arti>3FQThat document was created with a newer version of Sketchpad and cannot be opened.|This document was created with a newer version of Sketchpad. Some information may be lost. 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