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'"  *) k ,nQ\aAG[7]/ -, - .nQ\aAH[7] /?  // /1 - 20nQ\aAI[7] - 10nQ\aAJ[7]?  34?  3"  65  8nQ\aAP[7]/ 98 -  :nQ\aAQ[7] ; ?  ;E/ ;= - ><nQ\aAR[7] - =<nQ\aAS[7]?  ?@?  ?E"  BA - C=P']@  @ D - E nQ\aAN[11]  FDF nQ\aAN'[11] @ D  HnQ\aAP[11]Q C @ G - J - J Q C @ KL/ @ IH - NMQ CODQ C Q C @   - R nQ\aAC[8]- R nQ\aAD[8]Q C @ ST - UnQ\aAE[8]Q CV   XnQ\aAF[8]/ YX - ZnQ\aAG[8] [ ?  [k/ [] - ^\nQ\aAH[8] - ]\nQ\aAI[8]?  _`?  _k"  ba - c]P'] @  D  enQ\aAY[11]Q C @ GD - g - g Q C @ hDi/ @ fe - kjQ CDl @  @ d - n nQ\aAF[15]  odo nQ\aAF'[15] @ d   qnQ\aAH[15]Q C @  p - s nQ\aAK[19]- s nQ\aAL[19]Q C @ t u/ @ rq - wvnQ\aAM[19]Q C xd @ d  znQ\aAQ[15]Q C @ pd - | - | Q C @ }d~/ @ {z - Q Cd> w   (*nQ\aAFirst Reflections> 4 aX ".7QCL   m,nQ\aASecond ReflectionsQ C @ nEO -  nQ\aAK[8]d-  nQ\aAL[8]dQ C @ E - _nQ\aAM[8]dQ CE - _nQ\aAN[8]d ?  /  - nQ\aAO[8]d - nQ\aAP[8]d?  ?  "   - P']Q C @ n -  nQ\aAR[8]d-  nQ\aAS[8]dQ C @  - nQ\aAT[8]dQ CE - :nQ\aAU[8]d E?   /  - nQ\aAV[8]d - nQ\aAW[8]d?  ?   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"   - P']@  @  -  nQ\aAT[16]   nQ\aAT'[16]R @   nQ\aAE[17]Q C @ : -  -  Q C @ / @  - Q C @ k  nQ\aAV[16]Q C @  -  -  Q C @ / @  - Q Ck@  @  -  nQ\aAZ[15]   nQ\aAZ'[15]R @ k  nQ\aAK[16]Q C @ k -  -  Q C @ k/ @  - Q Ck - Z[9]@  @  -     @    Q C @   -   -   Q C @  / @    - @  @  -  nQ\aAU[13]   nQ\aAU'[13]R @   nQ\aAF[14]Q C @ % -  -  Q C @ / @  - Q C @ X  nQ\aAW[13]Q C @  -   -   Q C @ !"/ @  - $#Q C%X@  @  - ' nQ\aAA[13]  (( nQ\aAA'[13]R @ X  *nQ\aAL[13]Q C @ X) - , - , Q C @ -X./ @ +* - 0/Q CX1 @   3nQ\aAC[13]Q C @ ) - 5 - 5 Q C @ 67/ @ 43 - 98Q C:@  @  - < nQ\aAT[10]  == nQ\aAT'[10]R @   ?nQ\aAE[11]Q C @ > - A - A Q C @ BC/ @ @? - EDQ CF @ E  HnQ\aAV[10]Q C @ >n - J - J Q C @ KL/ @ IH - NMQ COE@  @  - Q nQ\aAB[10]  RR nQ\aAB'[10]R @ E  TnQ\aAC[10]Q C @ nES - V - V Q C @ WEX/ @ UT - ZYQ CE[ @   ]nQ\aAW[18]Q C @ OS - _ - _ Q C @ `a/ @ ^] - cbQ Cd - ZnQ\aAL[10] f?  f/ fh - ignQ\aAM[10] - hgnQ\aAN[10]?  jk?  j"  ml - nhP'0@  @ o - p nQ\aAO[10]  qoq nQ\aAO'[10]R @ o  sQ C @ Sr - u - u Q C @ vw/ @ ts - yxQ Czo @ Eo  |nQ\aAP[10]Q C @ ron - ~ nQ\aAQ[10]- ~ nQ\aAR[10]Q C @ o/ @ }| - nQ\aAS[10]Q CoE > nQ\aAU[10]/  - NnQ\aAW[10] E?  /  - nQ\aAX[10] - nQ\aAY[10]?  ?  "   - P'0@  @  -  nQ\aAZ[10]   nQ\aAZ'[10]R @ E  Q C @ nE -  -  Q C @ E/ @  - Q CE @   nQ\aAA[11]Q C @ > -  nQ\aAB[11]-  nQ\aAC[11]Q C @ / @  - nQ\aAD[11]Q C - EnQ\aAF[11] ?  E/  - nQ\aAG[11] - nQ\aAH[11]?  ?  E"   - P'1@  @  -  nQ\aAI[11]   nQ\aAI'[11]R @   Q C @  -  -  Q C @ / @  - Q C @   nQ\aAJ[11]Q C @ > -  nQ\aAK[11]-  nQ\aAL[11]Q C @ / @  - nQ\aAM[11]Q C DG nQ\aAO[11]/  - NnQ\aAQ[11] ?   /  - nQ\aAR[11] - nQ\aAS[11]?  ?   "   - P'1@  @  -  nQ\aAT[11]   nQ\aAT'[11]R @   Q C @  -  -  Q C @ / @  - Q C @ D  nQ\aAU[11]Q C @ G -  nQ\aAV[11]-  nQ\aAW[11]Q C @ / @  - nQ\aAX[11]Q CD - knQ\aAZ[11]  ?  /  - nQ\aAA[12] - nQ\aAB[12]?  ?  "   - P'2@  @  -  nQ\aAC[12]   nQ\aAC'[12]R @    Q C @   -  -  Q C @  / @  - Q C  @ D  nQ\aAD[12]Q C @ G -  nQ\aAE[12]-  nQ\aAF[12]Q C @ / @  - nQ\aAG[12]Q CD - +%P'2@  @  -  nQ\aAH[12]     nQ\aAH'[12]R @     Q C @   -   -   Q C @  / @    - Q C  @   nQ\aAI[12]Q C @   -  nQ\aAJ[12]-  nQ\aAK[12]Q C @ / @  - nQ\aAL[12]Q C - "nQ\aAS[12] ?   /  -  nQ\aAT[12] - nQ\aAU[12]?  !"?  ! "  $# - %P'2@  @ & - ' nQ\aAV[12]  (&( nQ\aAV'[12]R @ &  *Q C @ ) - , - , Q C @ -./ @ +* - 0/Q C1& @ &  3nQ\aAW[12]Q C @ )& - 5 nQ\aAX[12]- 5 nQ\aAY[12]Q C @ 6&7/ @ 43 - 98nQ\aAZ[12]Q C&: ) <nQ\aAB[13]/ =< - 9>nQ\aAD[13] ??  ?X/ ?A - B@nQ\aAE[13] - A@nQ\aAF[13]?  CD?  CX"  FE - GAP'3@  @ H - I nQ\aAG[13]  JHJ nQ\aAG'[13]R @ H  LQ C @ K - N - N Q C @ OP/ @ ML - RQQ CSH @ H  UnQ\aAH[13]Q C @ KH) - W nQ\aAI[13]- W nQ\aAJ[13]Q C @ XHY/ @ VU - [ZnQ\aAK[13]Q CH\ - 0>nQ\aAM[13] ^X?  ^/ ^` - a_nQ\aAN[13] - `_nQ\aAO[13]?  bc?  b"  ed - f`P'3@  @ g - h nQ\aAP[13]  igi nQ\aAP'[13]R @ gX  kQ C @ Xj - m - m Q C @ nXo/ @ lk - qpQ CXrg @ g  tnQ\aAQ[13]Q C @ jg) - v nQ\aAR[13]- v nQ\aAS[13]Q C @ wgx/ @ ut - zynQ\aAT[13]Q Cg{  }nQ\aAV[13]/ ~} - $nQ\aAX[13] X?  /  - nQ\aAY[13] - nQ\aAZ[13]?  ?  "   - P'3@  @  -  nQ\aAA[14]   nQ\aAA'[14]R @ X  Q C @ X -  -  Q C @ X/ @  - Q CX @   nQ\aAB[14]Q C @  -  nQ\aAC[14]-  nQ\aAD[14]Q C @ / @  - nQ\aAE[14]Q C - nQ\aAG[14] ?  X/  - nQ\aAH[14] - nQ\aAI[14]?  ?  X"   - P'4@  @  -  nQ\aAJ[14]   nQ\aAJ'[14]R @   Q C @ % -  -  Q C @ / @  - Q C @   nQ\aAK[14]Q C @  -  nQ\aAL[14]-  nQ\aAM[14]Q C @ / @  - nQ\aAN[14]Q C - nQ\aAP[14] ?   /  - nQ\aAQ[14] - nQ\aAR[14]?  ?   "   - P'4@  @  -  nQ\aAS[14]   nQ\aAS'[14]R @   Q C @ % -  -  Q C @ / @  - Q C @   nQ\aAT[14]Q C @  -  nQ\aAU[14]-  nQ\aAV[14]Q C @ / @  - nQ\aAW[14]Q C - anQ\aAX[14] ?  /  - nQ\aAY[14] - nQ\aAZ[14]?  ?  "   - P'4@  @  -  nQ\aAA[15]   nQ\aAA'[15]R @   Q C @  -  -  Q C @ / @  - Q C @    nQ\aAB[15]Q C @   -  nQ\aAC[15]-  nQ\aAD[15]Q C @ / @  - nQ\aAE[15]Q C  dp nQ\aAG[15]/  - wnQ\aAI[15]  ?  /  - nQ\aAJ[15] - nQ\aAK[15]?  ?  "   - P'5@  @  -   nQ\aAL[15]     nQ\aAL'[15]R @     Q C @   -  -  Q C @  / @    -  @ d  nQ\aAM[15]Q C @  p -  nQ\aAN[15]-  nQ\aAO[15]Q C @ / @  - nQ\aAP[15] - nQ\aAR[15] ?   /  - nQ\aAS[15] - nQ\aAT[15]?   !?    "  #" - $P'5@  @ % - & nQ\aAU[15]  '%' nQ\aAU'[15]R @ %  )Q C @ ( - + - + Q C @ ,-/ @ *) - /.Q C0% @ d%  2nQ\aAV[15]Q C @ (%p - 4 nQ\aAW[15]- 4 nQ\aAX[15]Q C @ 5%6/ @ 32 - 87nQ\aAY[15]Q C%9d  ;nQ\aAA[16]/ <; @   >nQ\aAB[16]/ @ ?> - @=nQ\aAC[16] A?  Ak/ AC - DBnQ\aAD[16] - CBnQ\aAE[16]?  EF?  Ek"  HG - ICP'6@  @ J - K nQ\aAF[16]  LJL nQ\aAF'[16]R @ J  NQ C @ M - P - P Q C @ QR/ @ ON - TSQ CUJ @ J  WnQ\aAG[16]Q C @ MJ - Y nQ\aAH[16]- Y nQ\aAI[16]Q C @ ZJ[/ @ XW - ]\nQ\aAJ[16]Q CJ^ - =nQ\aAL[16] `k?  `/ `b - canQ\aAM[16] - banQ\aAN[16]?  de?  d"  gf - hbP'6@  @ i - j nQ\aAO[16]  kik nQ\aAO'[16]R @ ik  mQ C @ kl - o - o Q C @ pkq/ @ nm - sr @ i  unQ\aAP[16]Q C @ li - w nQ\aAQ[16]- w nQ\aAR[16]Q C @ xiy/ @ vu - {znQ\aAS[16]  }nQ\aAU[16]/ ~} - nQ\aAW[16] k?  /  - nQ\aAX[16] - nQ\aAY[16]?  ?  "   - P'6@  @  -  nQ\aAZ[16]   nQ\aAZ'[16]R @ k  Q C @ k -  -  Q C @ k/ @  - Q Ck @   nQ\aAA[17]Q C @  -  nQ\aAB[17]-  nQ\aAC[17]Q C @ / @  - nQ\aAD[17]Q C - nQ\aAF[17] ?  k/  - nQ\aAG[17] - nQ\aAH[17]?  ?  k"   - P'7@  @  -  nQ\aAI[17]   nQ\aAI'[17]R @   Q C @ : -  -  Q C @ / @  - Q C @   nQ\aAJ[17]Q C @  -  nQ\aAK[17]-  nQ\aAL[17]Q C @ / @  - nQ\aAM[17]Q C x{ nQ\aAO[17]/  - nQ\aAQ[17] ?  /  - nQ\aAR[17] - nQ\aAS[17]?  ?  "   - P'7@  @  -  nQ\aAT[17]   nQ\aAT'[17]R @   Q C @ : -  -  Q C @ / @  - Q C @ x  nQ\aAU[17]Q C @ { -  nQ\aAV[17]-  nQ\aAW[17]Q C @ / @  - nQ\aAX[17]Q Cx - nQ\aAZ[17] ?  /  - nQ\aAA[18] - nQ\aAB[18]?  ?  "   - P'8@  @  -  nQ\aAC[18]   nQ\aAC'[18]R @   Q C @  -  -  Q C @ / @  - Q C @ x  nQ\aAD[18]Q C @ { -  nQ\aAE[18]-  nQ\aAF[18]Q C @ / @  - nQ\aAG[18]Q Cx - 71P'8@  @  -  nQ\aAH[18]   nQ\aAH'[18]R @   Q C @  -  -  Q C @ / @  -  Q C  @ k   nQ\aAI[18]Q C @  -  nQ\aAJ[18]-  nQ\aAK[18]Q C @ / @    - nQ\aAL[18]Q Ck - .nQ\aAN[18] ?  /  - nQ\aAO[18] - nQ\aAP[18]?  ?  "   - P'8@  @  -  nQ\aAQ[18]     nQ\aAQ'[18]R @   "Q C @ O! - $ - $ Q C @ %&/ @ #" - ('Q C) @ k  +nQ\aAR[18]Q C @ ! - - nQ\aAS[18]- - nQ\aAT[18]Q C @ .// @ ,+ - 10nQ\aAU[18]Q C2k S 4nQ\aAV[18]/ 54 - c6nQ\aAX[18] 7?  7E/ 79 - :8nQ\aAY[18] - 98nQ\aAZ[18]?  ;<?  ;E"  >= - ?9P'8@  @ @ - A nQ\aAA[19]  B@B nQ\aAA'[19]R @ @  DQ C @ OC - F - F Q C @ GH/ @ ED - JIQ CK@ @ @  MnQ\aAB[19]Q C @ C@S - O nQ\aAC[19]- O nQ\aAD[19]Q C @ P@Q/ @ NM - SRnQ\aAE[19]Q C@TQ C @  - V - V Q C @ WX - @YQ CZ> dmPGP\ey&2;[   *nQ\aAThird ReflectionsQ C @  - ] nQ\aAF[19]- ] nQ\aAG[19]Q C @ ^_ - `nQ\aAH[19]Q Cak?  `/ `c - danQ\aAI[19] - canQ\aAJ[19]?  ef?  e"  hg - icP'9@  @ j - k nQ\aAQ[19]  ljl nQ\aAQ'[19]e @ jk  nQ C @ km - p - p Q C @ qkr/ @ on - tsQ Ckuj @ j  wnQ\aAR[19]Q C @ mj - y nQ\aAS[19]- y nQ\aAT[19]Q C @ zj{/ @ xw - }|nQ\aAU[19]Q Cj~ - wanQ\aAV[19] d?  /  - nQ\aAW[19] - nQ\aAX[19]?  ?  "   - P'9@  @  -  nQ\aAY[19]   nQ\aAY'[19]e @ d  Q C @ pd -  -  Q C @ d/ @  - Q Cd @    nQ\aAZ[19]Q C @   -  nQ\aAA[20]-  nQ\aAB[20]Q C @ / @  - nQ\aAC[20]Q C > 0 1:V_]s|2;T{*3LUv   ,nQ\aAFourth Reflectionspp*\><0>>`*j>     w,nQ\aAStart with a Point>      <nQ\aA#Rotate Around Disk Center n-1 times> )28K^   0nQ\aAConnect with h-SegmentshfR>r n44K > Knc>>>>?(# VQThat 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. $ "LURL` a b c d e f g h i j k l m n o p q _ ,#GSP4_M_0554/Mar 2 20040#HArial0'''$'$'$'$'$'$'$'$'$'$' $' $' %'&'8'8'8'9':'5<0><0>><0>>>5V{A tool in this document was created with a newer version of Sketchpad and cannot be read. The document will open as a copy.aA tool in this document was created with a newer version of Sketchpad and may not work correctly.$LBasic Slider Geneva3ArialnQ\aAA/p<?bX<@?1 timesU?   a/3  p<0>nQ\aAa V{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.$LLine Given Slope & Point Geneva3ArialnQ\aAA  `` !^  <0>xAma >0(r(2>?nQ\aAt[1] %0 !b  &<0>T2ef B0+~j=2 Du1 Y>F@ `  bX<@?t[1]?   V{A tool in this document was created with a newer version of Sketchpad and cannot be read. The document will open as a copy.aA tool in this document was created with a newer version of Sketchpad and may not work correctly.$ LSpring Between 2 Points Geneva3ArialnQ\aABPP(ttnQ\aAAHT   nQ\aAA< ]grV@bX,@?1 times  - nQ\aAB/3   <0>0nQ\aAm[1]0 ! l  K<0>T2ef L0K(.1! 7FP.1!~HH@.1!`  #*$   ?nQ\aAL[1] V{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.$Q LThe KingArial nQ\aABnQ\aAA   ? $rV@          !! !## #%%'()*+, ,-- -// /11 13 '%6789:;<=>?@ABCDEFGHIJKLMNOPQRS NO7VWXYZ[\]^_`abcd ede geg gi ,iilmnopqr srsu vuv xvx xzz |zW~                        !"#$%&'()*+,-./  00 2 2   789:;<=>?@ABCDEFGHIJ K 0KKNO P P P TTVWXYZ[ \ \\_`abcdefgh i iilm n nn qq s sq s wwy zz z|| ~|~             ~ ~ `  d  i     r  s   |  Y  V Y       `   u Q T |6       N 3 Q T    O ! " ""%&'()*+, '-- /-/ /11 13 3, 3g 7 7 7X  ; ;   > > 4 T|zxvuQnQ\aAP[1]7sq( F +3, GnQ\aAP[2]$wTnQ\aAP[3] P u P us B7"!#%'-/13+ Fged\97Twz|~`YX8 nQ\aAP[4]4',-/13NOPusrnP2 0KiiG nQ\aAP[5]@sPnnQ\aAP[6]Ǯ QuPnQ\aAP[7]ǮD|zxvQPusnQ\aAP[8]"wX8 7; >  67VW~nQ\aAP[9]l7T  nQ\aAP[10]5gi V{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.$LHyperbolic SegmentArialnQ\aABpG2 4 ZnQ\aAAǭsqǭ(nQ\aAP. Disk Radius(nQ\aAP. Disk CenterpL2f   @P. Disk.#@  @  - nQ\aAG  @  @  -  nQ\aAH     @    nQ\aAFQ C @   - nQ\aAD- nQ\aAEQ C @ / @  nQ\aAj - nQ\aACQ C|/#Constructs a hyperbolic segment through points A and B on the Poincar Disk specified by P. Disk Center and P. Disk Radius.{A tool in this document was created with a newer version of Sketchpad and cannot be read. The document will open as a copy.aA tool in this document was created with a newer version of Sketchpad and may not work correctly.$"LHyperbolic P. BisectorArial(nQ\aAP. Disk Radius (nQ\aAP. Disk Center 1 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 Poincar 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.$,LHyperbolic PerpendicularArial Geneva3  nQ\aAPm@nQ\aAAnQ\aAB(nQ\aAP. Disk Radius(nQ\aAP. Disk Center  nQ\aAP. Disk.#@   - nQ\aAA    ?/  nQ\aAj@   -  nQ\aAB     ?/  nQ\aAk -  nQ\aAC nQ\aAc[1]s@   - nQ\aAD   ?/ nQ\aAl@   - nQ\aAE   ?/ nQ\aAm - nQ\aAF  - nQ\aAG- nQ\aAH   !nQ\aAI@  " - #nQ\aAJQ C$  - nQ\aAK- nQ\aAL &' (nQ\aAM@  ) - *nQ\aANQ C'+&/#Constructs the hyperbolic perpendicular through P to the hyperbolic line AB, on the Poincar 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.$LHyperbolic LineArial(nQ\aAP. Disk Radius xE regansnoisnet(nQ\aAP. Disk Center ID noyaroyarCLTnQ\aABiP SLH eLH rekcnQ\aAAehW VSHataD lef   @P. Disk.#@  @  - nQ\aAE  @  @  -  nQ\aAF    Q C @  -  nQ\aAC -  nQ\aADQ C ~/#Constructs a hyperbolic line through two points A and B, on the Poincar disk specified by P. Disk Center and P. Disk Radius.{A tool in this document was created with a newer version of Sketchpad and cannot be read. The document will open as a copy.aA tool in this document was created with a newer version of Sketchpad and may not work correctly.$FLHyperbolic A. BisectorArial (nQ\aAP. Disk Radius (nQ\aAP. Disk Center nQ\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 Poincar disk defined by P. Disk Center and P. Disk Radius.n{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 nQ\aAAnQ\aAB(nQ\aAP. Disk Centerp(nQ\aAP. Disk Radiuspf   @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 Poincar 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 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- $nQ\aAL %?  &' (nQ\aAM - )nQ\aAN *%?  + + + - ,nQ\aAO/ +.nQ\aAn +.nQ\aAc[1]t /nQ\aAP %0 - 12nQ\aAQ 3+ - 6nQ\aAR +7 - 18nQ\aAS - -8nQ\aAT?  :5. 9;nQ\aAo - <-nQ\aAU?  =% =% - >4nQ\aAV/ %?nQ\aAp %?nQ\aAc[2]t - A4nQ\aAW - ABnQ\aAX?  @D. CEnQ\aAq - >FnQ\aAY G -  HnQ\aAZ?  I% I% - J4nQ\aAA[1]t/ %KnQ\aAr %KnQ\aAc[3]t - M4nQ\aAB[1]t - MNnQ\aAC[1]t?  LP. OQnQ\aAs - JRnQ\aAD[1]t =S TnQ\aAE[1]t/ UTnQ\aAt -  VnQ\aAF[1]t W=@  @  - YnQ\aAG[1]t  ZZ@  @  - \nQ\aAH[1]t  ]] @   _nQ\aAI[1]tQ C @ [^ - anQ\aAJ[1]t- anQ\aAK[1]tQ C @ bc/ @ `_nQ\aAu - ednQ\aAL[1]tQ Cf/#Constructs the hyperbolic circle centered at C with radius equal to the distance from P[1] to P[2], on the Poincar disk defined by P. Disk Center and P. Disk Radius.{A tool in this document was created with a newer version of Sketchpad and cannot be read. The document will open as a copy.aA tool in this document was created with a newer version of Sketchpad and may not work correctly.$LLHyperbolic AngleArial  nQ\aACnQ\aABnQ\aAA(nQ\aAP. Disk Centere(nQ\aAP. Disk Radiusef   @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