Poincare upper plane model(H^{+})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)．
There are also Geogebra(3.2) files. To see
these files, you need Java(JDK/JVM) which
you can download from here.
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/Geogebra(embedded in html files)
You need Cabri2 plugins and Java environment
 Definition of upper plane(H^{+}).
 Examples of hyperbolic congruent transformation
 hyperbolic straight line
 parallel & super parallel
 'atoms & molecules' of hyperbolic congruent
transformation
 hyperbolic angle
 hyperbolic circle
 parallel angle
 horicircle
 equidistant line
 mobius transformation
 standerd formelliptic, hyperbolic, parabolic
 shteiner circles (cordinates by circles)hyperbolic, elliptic, parabolic
 breaking down to 2 inversionshyperbolic, elliptic, parabolic
 composition of 2 inversions makes a mobius
transformation
 geometric theories of hyperbolic geometry
 PDF files（in Japanese)
Please use 'back button' when you return
from links!
 Definition of upper plane(H^{+})
 Examples of hyperbolic congruent transformation
 hyperbolic straight line
 parallel & super parallel
 'atoms & molecules' of hyperbolic congruent
transformation
 hyperbolic angle
 hyperbolic circle
 parallel angle
 horicircle
 equidistant line
 mobius transformation
 elliptic,hyperbolic,parabolic
 shteiner circles&relations with 2 inversions
 geometric theories of hyperbolic geometry
 Cabri/Geogebra original files (*.fig,*.bbg,*.mac)

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