I. Define the following:- (RG) i) Euclidean geometry. (EG ) iii) Neutral geometry.(NG) iv) Riemann's geometry. RG ii)Lobacheviskian Geometry. LG ***********

Elementary Geometry For College Students, 7e
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ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
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*****.
ek*k*****
I. Define the following:- (RG)
i) Euclidean geometry. (EG)
ii)Lobacheviskian Geometry. LG
iii) Neutral geometry.(NG)
iv) Riemann's geometry. RG
****:
*****
Transcribed Image Text:****** *****. ek*k***** I. Define the following:- (RG) i) Euclidean geometry. (EG) ii)Lobacheviskian Geometry. LG iii) Neutral geometry.(NG) iv) Riemann's geometry. RG ****: *****
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We need to write the definition of the following geometry:-

 

(iv)Riemann's Geometry:-The branch of non-Euclidean geometry that replaces the parallel postulate of Euclidean geometry with the postulate that in a plane every pair of distinct lines intersects.

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