Find a geometric model for the following axioms, and determine whether or not it is a projective plane: (1) There are 5 points and 10 lines. (2) Each line contains exactly two points. (3) Each point lies on exactly four lines.
Find a geometric model for the following axioms, and determine whether or not it is a projective plane: (1) There are 5 points and 10 lines. (2) Each line contains exactly two points. (3) Each point lies on exactly four lines.
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
Section1.1: Early Definitions And Postulates
Problem 36E: Consider noncoplanar points A, B, C, and D. Using three points at a time such as A, B, and C, how...
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Find a geometric model for the following axioms, and determine whether or not it is a projective plane: (1) There are 5 points and 10 lines. (2) Each line contains exactly two points. (3) Each point lies on exactly four lines.
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