GSP4 OQThat 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.$LPoincare Disk Model` a b c d e f g h i j k l m n o p q _ ,#GSP4_M_0580XUB/May 5 20060#HArial
GenevaF F
'''$'$'$'$'$'$'$'$'$'$' $'
$'%'&'8'8'8'9':'00>nQ\aAt[1](P. Disk Radius[`u@z@(P. Disk Center[`}@q@f @P. Disk.#
.#< ]grV@bX@?NQRW
*iB?Radius>
14nQ\aAHide Circle Interior Radius>
1$nQ\aAShow Points>
X&nQ\aA
Disk Controls<+>>>0QOQThat 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.$HLCredits` a b c d e f g h i j k l m n o p q _ ,#GSP4_M_0580XUB/May 5 20060#H
GenevaK'''$'mtr$'nme$' fj$'ms$'$'$'$'$'$' $'
$'%'&'8'8'8'9':'-><0><0>>->R~$$>DDB/.>/
d d Ihttp://www.dynamicgeometry.com/general_resources/advanced_sketch_gallery/0nQ\aAAdvanced Sketch Gallery
< <
http://www.dynamicgeometry.com/2nQ\aASketchpad Resource Center
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.$LHyperbolic SegmentArial
GenevaK nQ\aABpG2 4 ZnQ\aAAǭsqǭ(nQ\aAP. Disk Radiusr(nQ\aAP. Disk CenterrpL2f @P. Disk.#@
@- nQ\aAG @
@- nQ\aAH
@ nQ\aAFQC @
- nQ\aAD- nQ\aAEQC @ / @
nQ\aAj- nQ\aACQC|/#Constructs a hyperbolic segment through points A and B on the Poincar Disk specified by P. Disk Center and P. Disk Radius.{A tool in this document was created with a newer version of Sketchpad and cannot be read. The document will open as a copy.aA tool in this document was created with a newer version of Sketchpad and may not work correctly.$LHyperbolic LineArial
GenevaK (nQ\aAP. Disk Radius xE
regansnoisnet(nQ\aAP. Disk Center ID noyaroyarCLTnQ\aABiP SLHeLH rekcnQ\aAAehW VSHataD lef @P. Disk.#@
@- nQ\aAE @
@- nQ\aAF
QC @ - nQ\aAC
- nQ\aADQC
~/#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.$"LHyperbolic P. BisectorArial
GenevaK (nQ\aAP. Disk Radiuso(nQ\aAP. Disk Centero1 nQ\aABMCFEDLr pleH KYnQ\aAAPf @P. Disk.#@
@- nQ\aAK @
@- nQ\aAL
@ nQ\aAMQC @
- nQ\aAJ- nQ\aAIQC @ / @
nQ\aAj- nQ\aANQC? @? @ - nQ\aAG @ nQ\aAH @ - nQ\aAC
- nQ\aAE @ @ nQ\aAF @- nQ\aADQC!/#Constructs the perpendicular bisector of a hyperbolic segment AB on the Poincar Disk specified by P. Disk Center and P. Disk Radius.{A tool in this document was created with a newer version of Sketchpad and cannot be read. The document will open as a copy.aA tool in this document was created with a newer version of Sketchpad and may not work correctly.$,LHyperbolic PerpendicularArial
GenevaK
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\aACnQ\aAc[1]s@
-nQ\aAD ?/nQ\aAl@
-nQ\aAE ?/nQ\aAm -nQ\aAF
-nQ\aAG-nQ\aAH !nQ\aAI@
"-#nQ\aAJQC$
-nQ\aAK-nQ\aAL&'(nQ\aAM@
)-*nQ\aANQC'+&/#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.$FLHyperbolic A. BisectorArial
GenevaK
(nQ\aAP. Disk Radius (nQ\aAP. Disk Center nQ\aACnQ\aABnQ\aAA?nQ\aAc[1]s/nQ\aAj- nQ\aAAf @P. Disk.#- nQ\aAB-nQ\aAC?
.nQ\aAk -nQ\aAD??-nQ\aAEnQ\aAF/nQ\aAlnQ\aAc[2]s-nQ\aAG/nQ\aAm-nQ\aAH-nQ\aAI?-nQ\aAJ.! nQ\aAn -"nQ\aAK?-$nQ\aAL/&nQ\aAo-'nQ\aAM&nQ\aAc[3]s-')nQ\aAN?%*.(+nQ\aAp -,$nQ\aAO,#-nQ\aAq#- -/.nQ\aAP?0-1nQ\aAQ0/3nQ\aAr-4nQ\aAR3nQ\aAc[4]s-46nQ\aAS?27.58nQ\aAs -91nQ\aAT:;nQ\aAU/<;nQ\aAt>nQ\aAV/?>nQ\aAu -=@nQ\aAWA-BnQ\aAX
-BnQ\aAYQCDC
.#~/#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
GenevaK
nQ\aAAnQ\aAB(nQ\aAP. Disk Centerp(nQ\aAP. Disk Radiuspf @P. Disk.#
.#?-nQ\aAA-nQ\aAB? $An濘53^?)
F@Radi???
nQ\aAC? -
nQ\aAD? -nQ\aAE? -
nQ\aAF?/nQ\aAjnQ\aAc[1]nQ\aAG-nQ\aAH
-nQ\aAI-nQ\aAJ-nQ\aAK?!. "nQ\aAk -#nQ\aAL$-%nQ\aAM?&&-'nQ\aAN/(nQ\aAl(nQ\aAc[2]-*nQ\aAO-*+nQ\aAP?)-.,.nQ\aAm -/'nQ\aAQ01nQ\aAR/21nQ\aAn -3nQ\aAS4/#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.$gLHyperbolic Circle by CRArial
GenevaK
nQ\aACnQ\aAP[2]nQ\aAP[1](nQ\aAP. Disk Center(nQ\aAP. Disk Radiusf @P. Disk.#
.#? nQ\aAA/
nQ\aAj?@
/
nQ\aAk-nQ\aAB-nQ\aAC?$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\aAQ3+
-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\aAYG-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=STnQ\aAE[1]t/UTnQ\aAt -VnQ\aAF[1]tW=@
@- YnQ\aAG[1]t ZZ@
@- \nQ\aAH[1]t ]] @ _nQ\aAI[1]tQC @ [^
- anQ\aAJ[1]t- anQ\aAK[1]tQC @ bc/ @`_nQ\aAu- ednQ\aAL[1]tQCf/#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
GenevaK
nQ\aACnQ\aABnQ\aAA(nQ\aAP. Disk Centere(nQ\aAP. Disk Radiusef @P. Disk.#
.#@
@- nQ\aAA ?-nQ\aAB-nQ\aAC
$An濘53^?)
F@Radi?
???
nQ\aAD?
-nQ\aAE? -nQ\aAF? -nQ\aAGnQ\aAH
-nQ\aAI?nQ\aAc[1]/nQ\aAj-"!nQ\aAJ- nQ\aAK-"nQ\aAL?$#.%&nQ\aAk -' nQ\aAM@
@- )nQ\aAN ** @ ,nQ\aAOQC @ +
- .nQ\aAP- .nQ\aAQQC @ /0/ @-,nQ\aAl- 21nQ\aARQC3?5nQ\aAc[2]/5nQ\aAm-87nQ\aAS-6nQ\aAT-8nQ\aAU?:9.;<nQ\aAn -=6nQ\aAV)1>(( d
he k nQ\aAm[1]@
@- @nQ\aAW AA @ CnQ\aAXQC @ +B
- EnQ\aAY- EnQ\aAZQC @ FG/ @DCnQ\aAo- IHnQ\aAA[1]QCJI;?PP<>>>>>>nQ\aAt[1]f/#Measures the hyperbolic angle ABC on the Poincar disk defined by P. Disk Center and P. Disk Radius.P{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
GenevaK
nQ\aABnQ\aAA(nQ\aAP. Disk Centerp(nQ\aAP. Disk Radiuspf @P. Disk.#
.#nQ\aAA/nQ\aAj@
/
nQ\aAk-nQ\aAB/
nQ\aAl -
"InvertedanQ\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 Poincar disk defined by P. Disk Center and P. Disk Radius.