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

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
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iii
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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 ****: *****
Expert Solution
Euclidean

Below is the definition of given geometries 

i) Euclidean geometry 

      It is defined as the study of the plane and solid figure on the basis of the axioms and theorems. It is basically 

   introduced for flat surfaces or plane surfaces. 

   It is considered as an axiomatic system where all the theorems are derived from a small number of simple axioms 

Since the term geometry deals with the things like points, angles, squares, triangles and other shapes. 

Euclidean geometry is also known as plane geometry. The two common examples of this geometry is angles and 

circles. Angles are said as the inclination of two straight lines. A circle is a plane figure that has all the points at a 

constant distance from the center. 

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