(Please wait: it may take several minutes to download this sizeable applet and its link.)
Lobachevskian Geometry
with Interactive Drawing-Pad
The main feature of this web-site is an interactive "drawing-pad" for constructing geometric figures that faithfully correspond to the axioms of Lobachevskian Geometry. This is done via the unit-disk model of Henri Poincaré. To put this in some context, the site also contains a brief history of the development of Lobachevskian Geometry and of the use and function of mathematical models like Poincaré's.
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Click here for a brief history of how Euclid's geometry eventually gave rise to non-Euclidean geometry, including the geometry of Lobachevsky. |
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Click here for a brief description of mathematical models in general, and the Poincaré model in particular. |
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Click here for a brief description of the java applet accessible from this page: "The Lobachevskian Plane." |
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Click here to go to "The Lobachevskian Plane,"
the interactive drawing-pad for Lobachevskian figures. (Maximize the window after
opening.) (Please wait: it may take several minutes to download this sizeable applet and its link.) |
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Click here for references to related reading and links to related sites. |
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Click here to e-mail me with your observations and comments. "The Lobachevskian Plane" is a work in progress, and probably has errors I haven't corrected. Please let me know (in as detailed a fashion as you can) what is problematic or doesn't work. Thanks. |
This web-site and the accompanying Java applet that implements the
drawing-pad were developed by Professor Kerry E. Grant as part of a sabbatical project
(Fall, 1998) supported by Southern Connecticut State University.