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.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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