GSP4QThat 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.$J` a b c d e f g h i j k l m n o p q _ ,#GSP4_W_0498/Jan 29 20020#` Arial[1  '''$'$'$'$'$'$'$'$'$'$' $' $' %'&'8'8'8'9':' @>*e wnQ\aAt[1]nPPJ=<+>><0>>J[n(P. Disk Centero@`p@@(P. Disk Radiusoy@x@f@   @P. Disk.# .#>     #,nQ\aAShow Control Points)nPw@o@4(@ 4X@: &@   nQ\aAx6(n 6X@: &n   nQ\aAy='n   n  n& K-Disk radius%0    6<0>rB3    6<0>A3    6<0>0 3^  6<0>le >0`0 3^  6<0>le >0`%0    6<0>rB3    6<0>A3    6<0>0 3^  6<0>le >0`0 3^  6<0>le >0`%0    6<0>rB3    6<0>A3    6<0>0 3^  6<0>le >0`0 3^  6<0>le >0`%0    6<0>rB3    6<0>A3    6<0>0 3 ^  6<0>le >0`0 3!^  6<0>le >0`%0    6<0>rB3    6<0>A3    6<0>0 3%^  6<0>le >0`0 3&^  6<0>le >0`B3    6<0>A3    6<0>0 3)^  6<0>le >0`0 3*^  6<0>le >0`%0    6<0>rB3    6<0>A3    6<0>0 3.^  6<0>le >0`0 3/^  6<0>le >0`%0    6<0>rB3    6<0>A3    6<0>0 33^  6<0>le >0`0 34^  6<0>le >0`%0    6<0>rB3    6<0>A3    6<0>0 38^  6<0>le >0`0 39^  6<0>le >0`%0    6<0>rB3    6<0>A3    6<0>0 3=^  6<0>le >0`0 3>^  6<0>le >0`%0    6<0>rB3    6<0>A3    6<0>0 3B^  6<0>le >0`0 3C^  6<0>le >0`%0    6<0>rB3    6<0>A3    6<0>0 3G^  6<0>le >0`0 3H^  6<0>le >0`-# {A tool in this document was created with a newer version of Sketchpad and cannot be read. The document will open as a copy.aA tool in this document was created with a newer version of Sketchpad and may not work correctly.$ LHyperbolic Raise Perpendicular Arial e$nQ\aA #2 on line.nQ\aAfoot of perpendicular(nQ\aAP. Disk Centeri(nQ\aAP. Disk Radiusif   @P. Disk.# .#@  / nQ\aAj -n nQ\aADn  /n  nQ\aAk -n  nQ\aAEn  n  nnQ\aAA n nQ\aAB/n  nQ\aAl/n nQ\aAm -n nQ\aACn  -n nQ\aAF-n nQ\aAG@ n /n nQ\aAn -n nQ\aAHn -n nQ\aAI -n nQ\aAJQ CnQ C{A tool in this document was created with a newer version of Sketchpad and cannot be read. The document will open as a copy.aA tool in this document was created with a newer version of Sketchpad and may not work correctly.$,LMap Poincare Disk Point to Klein Disk Point Arial s(nQ\aAP. Disk Centero(nQ\aAP. Disk RadiusonQ\aAFUD'nQ\aAS[1]s   $0  Gi<0>d & K-Disk radius%0   GQ<0>rB3    <0>A3    <0>B3    <0>0 ! ^ G<0>: >0`A3    <0>0 !^ G<0>: >0`0 ! ^ G8<0>: >0`0 ! ^ G<0>: >0`0 !  G<0>ol l0` ``  `` ` Proj(y)0 !  G<0>ol l0` ``  `` ` Proj(x)E8nQ\aAA/#Map Poincare Disk Point to Klein Disk Point Setting: Poincare Disk defined by points "P. Disk Center" and "P. Disk Radius" Given: Point in the Poincare disk Returns: Corresponding point in the Klein disk. There is a natural isomorphism from the Poincare disk to the Klein disk that has the same center and half the radius. See _Euclidean and Non-Euclidean Geometries_, 3rd Ed. by Greenberg, p. 236. Author: Steve Szydlik/January 2001 Revised for GSP 4.0 in February 2003