1. In the lecture we discussed examples for Incidence Geomet ries on 3 and 4 point sets. Let S-{A, B,C, D} determine all incidence geometries on this set (ie Determine all possibilities for the set of lines C such that (S, L) satisfy the three incidence axioms). Out of these determine the geometries which satisfy the Playfair's parallel axiom.
1. In the lecture we discussed examples for Incidence Geomet ries on 3 and 4 point sets. Let S-{A, B,C, D} determine all incidence geometries on this set (ie Determine all possibilities for the set of lines C such that (S, L) satisfy the three incidence axioms). Out of these determine the geometries which satisfy the Playfair's parallel axiom.
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter4: Quadrilaterals
Section4.1: Properties Of A Parallelogram
Problem 44E
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