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.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.7: Distinguishable Permutations And Combinations
Problem 29E
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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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