Which of the following is the characteristic postulate of Elliptic geometry? Through a point P not on a line I, there exist at least two lines parallel to l. Through a point P not on a line I, there exist exactly two lines parallel to l. Through a point P not on a line I, there exists exactly one line parallel to l. Through a point P not on a line I, there is no line parallel to I.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter1: Line And Angle Relationships
Section1.4: Relationships: Perpendicular Lines
Problem 24E: The Segment-Addition Postulate can be generalized as follows: The length of a line segment equals...
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Which of the following is the characteristic postulate of Elliptic geometry?
Through a point P not on a line I, there exist at least two lines parallel to I.
2.1
Through a point P not on a line I, there exist exactly two lines parallel to I.
Through a point P not on a line I, there exists exactly one line parallel to l.
Through a point P not on a line I, there is no line parallel to I.
Transcribed Image Text:Which of the following is the characteristic postulate of Elliptic geometry? Through a point P not on a line I, there exist at least two lines parallel to I. 2.1 Through a point P not on a line I, there exist exactly two lines parallel to I. Through a point P not on a line I, there exists exactly one line parallel to l. Through a point P not on a line I, there is no line parallel to I.
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