GSP4 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$` a b c d e f g h i j k l m n o p q _ ,#GSP4_M_0488/Oct 29 20010#HArial Geneva   F   '''$'$'$'$'$'$'$'$'$'$' $' $' %'&'8'8'8'9':'XVC nQ\aAt[1]:(P. Disk Radiuspx@y@(P. Disk Center8@p@< ]grV@bX@?   *iB?Radius>    14nQ\aAShow Circle Interior Radius>     1$nQ\aA Show Points<+>>>Of   @P. Disk.#  .#MX@`@@   /   -   /  -     / Npz@s@@  @  -     -      @    Q C @   -  -  Q C @  / @  - "!Q C #O@q@@  %/ %& - '  (/ () - *&"Invertedt +% ,/ -, % // 0/ - .1 2+ -  3 - 3 O C345?   2  2 28/ 28 - :9 2% - :< - 7<?  >;. =? - 7@ A B/ CB - D EA- F  - F O CFGH - 6IP@  @ J - K   LJLQ C @  M- N  - N Q C @ P OQ C @ M- R  - R Q C @ TS @ J   V/ @ WV - XQQ C YJ @ J  [/ @ \[ - ]UQ C^J?  J - `  - `  ba$An濘53^?) F@ts?  ab?  ac?  cJ?  cb e  P_W??  hb - fi?  aj - gk?  hl - dm n o pn -  q nr n?  n nt/ nt - wv - us - ws?  yx. z{ - |uQ C @ MJ - ~ - ~ Q C @ J - ]Q CJ  n?   n n/ n -  - s - s?  .  - )1}( P Q C @ MJ -  -  Q C @ J - XQ CJ I;J hhZT>>>>>>>p/ JK -   /  - K"Invertedt J /  - ] -  -  %0   b<0>x4%0 J  b<0>x4%0   b<0>x4%0 J  b<0>x40 3z b<0>x2 Z0  ``  `` "Distancet - X -  -  %0 J  t<0>%0   t<0>%0 J  t<0>%0   t<0>0 3z t<0>x2 Z0  ``  `` "Distancet/  -   /  - "Invertedt  /  - " -  -  %0   <0>%0   <0>%0   <0>%0   <0>0 3z <0>x2 Z0  ``  `` "Distancet0 3 j z<0> J0  T  HBT d{ ````0 3b q<0> B0  T  HBT d{ ``  p px^G0 3 b  <0> B0  T  HBT d{ ``44 ! *,*  0>ic I; <:&>>>>I;J <:t&>>>>I;J<:b&>>>> >>an 0f(# {A tool in this document was created with a newer version of Sketchpad and cannot be read. The document will open as a copy.aA tool in this document was created with a newer version of Sketchpad and may not work correctly.$LHyperbolic SegmentArial Geneva nQ\aABpG2 4 ZnQ\aAAǭsqǭ(nQ\aAP. Disk Radius(nQ\aAP. Disk CenterpL2f   @P. Disk.#@  @  - nQ\aAG  @  @  -  nQ\aAH     @    nQ\aAFQ C @   - nQ\aAD- nQ\aAEQ C @ / @  nQ\aAj - nQ\aACQ C|/#Constructs a hyperbolic segment through points A and B on the Poincare Disk specified by P. Disk Center and P. Disk Radius.{A tool in this document was created with a newer version of Sketchpad and cannot be read. The document will open as a copy.aA tool in this document was created with a newer version of Sketchpad and may not work correctly.$LHyperbolic LineArial Geneva" (nQ\aAP. Disk RadiusxE regansnoisnet(nQ\aAP. Disk CenterID noyaroyarCLTnQ\aABiP SLH eLH rekcnQ\aAAehW VSHataD lef   @P. Disk.#@  @  - nQ\aAE  @  @  -  nQ\aAF    Q C @  -  nQ\aAC -  nQ\aADQ C ~/#Constructs a hyperbolic line through two points A and B, on the Poincare disk specified by P. Disk Center and P. Disk Radius.{A tool in this document was created with a newer version of Sketchpad and cannot be read. The document will open as a copy.aA tool in this document was created with a newer version of Sketchpad and may not work correctly.$"LHyperbolic P. BisectorArial Geneva" (nQ\aAP. Disk Radius(nQ\aAP. Disk Center1 nQ\aABMCFEDLr pleH KYnQ\aAAPf   @P. Disk.#@  @  - nQ\aAK  @  @  -  nQ\aAL     @    nQ\aAMQ C @   - nQ\aAJ- nQ\aAIQ C @ / @  nQ\aAj - nQ\aANQ C?  @ ?  @  - nQ\aAG @   nQ\aAH @ - nQ\aAC - nQ\aAE @  @   nQ\aAF @  -  nQ\aADQ C!/#Constructs the perpendicular bisector of a hyperbolic segment AB on the Poincare Disk specified by P. Disk Center and P. Disk Radius.{A tool in this document was created with a newer version of Sketchpad and cannot be read. The document will open as a copy.aA tool in this document was created with a newer version of Sketchpad and may not work correctly.$4LHyperbolic PerpendicularArial Geneva  nQ\aABnQ\aAAnQ\aAP(nQ\aAP. Disk Center$(nQ\aAP. Disk Radius$f   @P. Disk .#  nQ\aAA/  nQ\aAj@  @  /  nQ\aAk/  nQ\aAl -  nQ\aAB - nQ\aAC  / nQ\aAm/ nQ\aAn -  nQ\aAD -  "Inverteda   nQ\aAE nQ\aAF/ nQ\aAo/ nQ\aAp -  nQ\aAG?      -  nQ\aAH/ nQ\aAq nQ\aAc[1]t - !nQ\aAI - !nQ\aAJ - # nQ\aAK - #$nQ\aALO C!&%?  "(. '*nQ\aAr - +nQ\aAM , -nQ\aAN/ .-nQ\aAs - /nQ\aAO 0, - 1nQ\aAP- 1nQ\aAQO C132/#Constructs the hyperbolic perpendicular through P to the hyperbolic line AB, on the Poincare disk defined by P. Disk Center and P. Disk Radius.{A tool in this document was created with a newer version of Sketchpad and cannot be read. The document will open as a copy.aA tool in this document was created with a newer version of Sketchpad and may not work correctly.$FLHyperbolic A. BisectorArial Geneva  (nQ\aAP. Disk Radius(nQ\aAP. Disk CenternQ\aACnQ\aABnQ\aAA?    nQ\aAc[1]s/ nQ\aAj -  nQ\aAAf   @P. Disk.# -  nQ\aAB -  nQ\aAC?   .  nQ\aAk - nQ\aAD?    ?   - nQ\aAE  nQ\aAF / nQ\aAl nQ\aAc[2]s - nQ\aAG/ nQ\aAm - nQ\aAH  - nQ\aAI?   - nQ\aAJ. ! nQ\aAn - "nQ\aAK?   - $nQ\aAL / &nQ\aAo - 'nQ\aAM &nQ\aAc[3]s - ')nQ\aAN?  %*. (+nQ\aAp - ,$nQ\aAO,#-nQ\aAq #- - /.nQ\aAP?  0 - 1nQ\aAQ 0/ 3nQ\aAr - 4nQ\aAR 3nQ\aAc[4]s - 46nQ\aAS?  27. 58nQ\aAs - 91nQ\aAT : ;nQ\aAU/ <;nQ\aAt  >nQ\aAV/ ?>nQ\aAu - =@nQ\aAW A-  BnQ\aAX -  BnQ\aAYQ CDC  .#~/#Constructs the angle bisector of the hyperbolic angle ABC on the Poincare disk defined by P. Disk Center and P. Disk Radius."{A tool in this document was created with a newer version of Sketchpad and cannot be read. The document will open as a copy.aA tool in this document was created with a newer version of Sketchpad and may not work correctly.$5LHyperbolic Circle by CPArial Geneva  nQ\aAAnQ\aAB(nQ\aAP. Disk Center(nQ\aAP. Disk Radiusf   @P. Disk.# .#?   - nQ\aAA - nQ\aAB?     $An濘53^?) F@Radi?   ?   ?    nQ\aAC?   -  nQ\aAD?    -  nQ\aAE?   -  nQ\aAF?    / nQ\aAj nQ\aAc[1] nQ\aAG - nQ\aAH  - nQ\aAI  - nQ\aAJ - nQ\aAK?  !.  "nQ\aAk - #nQ\aAL $ - %nQ\aAM?  & & - 'nQ\aAN/ (nQ\aAl (nQ\aAc[2] - *nQ\aAO - *+nQ\aAP?  )-. ,.nQ\aAm - /'nQ\aAQ 0 1nQ\aAR/ 21nQ\aAn - 3nQ\aAS 4/#Constructs the hyperbolic circle centered at A and passing through B on the Poincare disk defined by P. Disk Center and P. Disk Radius.{A tool in this document was created with a newer version of Sketchpad and cannot be read. The document will open as a copy.aA tool in this document was created with a newer version of Sketchpad and may not work correctly.$gLHyperbolic Circle by CRArial Geneva  nQ\aACnQ\aAP[2]nQ\aAP[1](nQ\aAP. Disk Center(nQ\aAP. Disk Radiusf   @P. Disk.# .#?     nQ\aAA/  nQ\aAj?  @  /  nQ\aAk -  nQ\aAB -  nQ\aAC?   $An濘53^?) F@Radi - nQ\aAD?  ?  ?    nQ\aAE/ nQ\aAl?   -  "Inverteda - nQ\aAF ?   nQ\aAG - nQ\aAH/ nQ\aAm - ! nQ\aAI?    " - #nQ\aAJ- $nQ\aAK- $nQ\aAL %?  &' (nQ\aAM - )nQ\aAN *%?  + + + - ,nQ\aAO/ +.nQ\aAn +.nQ\aAc[1]t /nQ\aAP %0 - 12nQ\aAQ 3+ - 6nQ\aAR +7 - 18nQ\aAS - -8nQ\aAT?  :5. 9;nQ\aAo - <-nQ\aAU?  =% =% - >4nQ\aAV/ %?nQ\aAp %?nQ\aAc[2]t - A4nQ\aAW - ABnQ\aAX?  @D. CEnQ\aAq - >FnQ\aAY G -  HnQ\aAZ?  I% I% - J4nQ\aAA[1]t/ %KnQ\aAr %KnQ\aAc[3]t - M4nQ\aAB[1]t - MNnQ\aAC[1]t?  LP. OQnQ\aAs - JRnQ\aAD[1]t =S TnQ\aAE[1]t/ UTnQ\aAt -  VnQ\aAF[1]t W=@  @  - YnQ\aAG[1]t  ZZ@  @  - \nQ\aAH[1]t  ]] @   _nQ\aAI[1]tQ C @ [^ - anQ\aAJ[1]t- anQ\aAK[1]tQ C @ bc/ @ `_nQ\aAu - ednQ\aAL[1]tQ Cf/#Constructs the hyperbolic circle centered at C with radius equal to the distance from P[1] to P[2], on the Poincare disk defined by P. Disk Center and P. Disk Radius.{A tool in this document was created with a newer version of Sketchpad and cannot be read. The document will open as a copy.aA tool in this document was created with a newer version of Sketchpad and may not work correctly.$LLHyperbolic AngleArial Geneva    nQ\aACnQ\aABnQ\aAA(nQ\aAP. Disk Center(nQ\aAP. Disk Radiusf   @P. Disk.# .#@  @  - nQ\aAA    ?   -  nQ\aAB -  nQ\aAC  $An濘53^?) F@Radi?   ?   ?  ?    nQ\aAD?    - nQ\aAE?    - nQ\aAF?   - nQ\aAG  nQ\aAH  - nQ\aAI  ?   nQ\aAc[1]/ nQ\aAj - "!nQ\aAJ -  nQ\aAK - "nQ\aAL?  $#. %&nQ\aAk - ' nQ\aAM@  @  - )nQ\aAN  ** @   ,nQ\aAOQ C @ +  - .nQ\aAP- .nQ\aAQQ C @ /0/ @ -,nQ\aAl - 21nQ\aARQ C3 ?   5nQ\aAc[2]/ 5nQ\aAm - 87nQ\aAS - 6nQ\aAT - 8nQ\aAU?  :9. ;<nQ\aAn - =6nQ\aAV)1>(( d nQ\aAm[1]@  @  - @nQ\aAW  AA @   CnQ\aAXQ C @ +B - EnQ\aAY- EnQ\aAZQ C @ FG/ @ DCnQ\aAo - IHnQ\aAA[1]Q CJI;?PP<>>>>>>@nQ\aAt[1]f/#Measures the hyperbolic angle ABC on the Poincare disk defined by P. Disk Center and P. Disk Radius.{A tool in this document was created with a newer version of Sketchpad and cannot be read. The document will open as a copy.aA tool in this document was created with a newer version of Sketchpad and may not work correctly.$LHyperbolic DistanceArial Geneva    nQ\aABnQ\aAA(nQ\aAP. Disk Center(nQ\aAP. Disk Radiusf   @P. Disk.# .#  nQ\aAA/ nQ\aAj@  /  nQ\aAk -  nQ\aAB  /  nQ\aAl -  "Inverteda  nQ\aAC/ nQ\aAm -  nQ\aAD - nQ\aAE- nQ\aAF%0   b<0>@%0   b<0>@%0   b<0>@%0   b<0>@0 !z <0> Z0  ``  `` "DistanceaI;<:&&>>>> @nQ\aAt[1]np/#Measures the hyperbolic distance from A to B on the Poincare disk defined by P. Disk Center and P. Disk Radius.