Upper sphere modelYou need plugins for Cabri2/Cabri3D to see
files embedded in htmls below, even if you
have those softwares. To download plugins,please
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manuplate figures on the files with mouse
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inverted triangle. At the bottom, there are also original
cabri files which you can directly manipulate
with Cabri/Cabri3D SOFTWARE (not plugins)．
If you can read Japanese , you can get detailed explanations of these
files and mathematical proves from the PDF
section below. There are onetoone
links to Cabri/Geogebra files. Note that , however, you should use 'back
button' of your browser when you come back
from these links, if you close the brouser,
it also closes original PDFs.
 Cabri files (embedded in html files)
Cabri2&3D plugins are necessary
 inversion with respect to a sphere
 sphere <> sphere; solid figure, cross figure
 circle<>circle solid figure
 conformality solid figure, cross figure
 reflection principle solid figure, cross figure
 orthogonal spheres solid figure, cross figure
 stereo projection
 conformality
 circle<>circle correspondence
 basic figures (line, circle etc)
 line,circle
 equi distant line,horicircle
 construction of circle&congruent transformation
 2 sets of orthogonal spheres
 inversion of upper sphere model
 inversion=projection
 construction of circle(by center and a point)
 hyperbolic angle,distance
 angle
 distance
 hyperbolic space models (3 dimensions)
 definition of Poincare upper space(H^{3})
 inversion of H^{3}
 definition of unit sphere model (B^{3})
 PDF files（in Japanese)
Please use 'back button' when you return
from links!
 inversion with respect to a sphere
 stereo projection
 basic figures (line, circle etc)
 construction of circle&congruent transformation
 hyperbolic angle,distance
 hyperbolic space models (3 dimensions)
 Original Cabri files

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