Some Instruments for The Upper Half-Plane Model
碩士 === 國立清華大學 === 數學系 === 90 === The Upper Half-Plane Model is one of hyperbolic geometry models due to Henri Poincaré (the other one is known as Poincaré Disk Model). The points of this model are represented by the points of the Euclidean upper half-plane consisting of all points (x,y) w...
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| Format: | Others |
| Language: | en_US |
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2002
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| Online Access: | http://ndltd.ncl.edu.tw/handle/44892419986391203551 |
| Summary: | 碩士 === 國立清華大學 === 數學系 === 90 === The Upper Half-Plane Model is one of hyperbolic geometry models due to Henri Poincaré (the other one is known as Poincaré Disk Model). The points of this model are represented by the points of the Euclidean upper half-plane consisting of all points (x,y) with y>0.
This paper presents the development of some basic instruments for geometric constructions under the upper half-plane model in Cabri Geometry II, an interactive dynamic software of geometry. These tools are collected in a Cabri menu file ‘uhpm.men’. This menu file is a base for developing and researching more visual figures in non-Euclidean geometry.
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