Non Euclidian Geometry (upper sphere model)

Upper sphere model

You need plugins for Cabri2/Cabri3D to see files embedded in htmls below, even if you have those softwares. To download plugins,please check these: cabri2 , cabri3D ．Once you install the plugins, you can manuplate figures on the files with mouse ． To move the whole figure, please drag with Ctrl key down . For reconstraction, please click the red 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 one-to-one 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-
1. inversion with respect to a sphere
  1. sphere <-> sphere; solid figure, cross figure
  2. circle<->circle　solid figure
  3. conformality solid figure, cross figure
  4. reflection principle solid figure, cross figure
  5. orthogonal spheres solid figure, cross figure
2. stereo projection
  1. conformality
  2. circle<->circle correspondence
3. basic figures (line, circle etc)
  1. line,circle
  2. equi distant line,horicircle
4. construction of circle&congruent transformation
5. hyperbolic angle,distance
  1. angle
  2. distance
6. hyperbolic space models (3 dimensions)
PDF files（in Japanese)
-Please use 'back button' when you return from links!-
Original Cabri files
- Cabri.zip

Non Euclidian geometry

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