Create a table showing the differences of Euclidean, Elliptic and Hyperbolic Geometry according to the following aspects: Version of Euclid’s fifth postulate Number of lines to a given line, passing through a point not on the given line. Sum of the interior angles of a triangle.

Create a table showing the differences of Euclidean, Elliptic and Hyperbolic Geometry according to the following aspects: Version of Euclid’s fifth postulate Number of lines to a given line, passing through a point not on the given line. Sum of the interior angles of a triangle.

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter3: Triangles

Section3.4: Basic Constructions Justified

Problem 38E

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Question

Create a table showing the differences of Euclidean, Elliptic and Hyperbolic Geometry according to the following aspects:

Version of Euclid’s fifth postulate
Number of lines to a given line, passing through a point not on the given line.
Sum of the interior angles of a triangle.

Figure in plane geometry formed by two rays or lines that share a common endpoint, called the vertex. The angle is measured in degrees using a protractor. The different types of angles are acute, obtuse, right, straight, and reflex.

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