Group of motions of the Lobachevskii plane

1984 ◽  
Vol 35 (1) ◽  
pp. 59-61
Author(s):  
S. B. Kadomtsev
Keyword(s):  
Lobachevskii Plane ◽  
Group Of Motions

scholarly journals An Approach to Presentation of the Lobachevskii Geometry to Secondary School and First Year University Students

2019 ◽  
Vol 22 (6) ◽  
pp. 737-748
Author(s):  
Вадим Васильевич Шурыгин ◽  
Вадим Вадимович Шурыгин
Keyword(s):  
Secondary School ◽  
University Students ◽  
Euclidean Plane ◽  
First Year ◽  
Lobachevskii Plane ◽  
Group Of Motions ◽  
First Year University

The group of motions of the Lobachevskii plane, as well as that of the Euclidean plane, is generated by reflections in straight lines.This allows ones to develop an approach to constructing the Poincaré model of Lobachevskii plane based on the properties of inversions and pencils of circles in the Euclidean plane.

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