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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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 L such that (S, L) satisfy the three incidence axioms).
Out of these determine the geometries which satisfy the Playfair's parallel axiom.
Transcribed Image Text: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 L such that (S, L) satisfy the three incidence axioms). Out of these determine the geometries which satisfy the Playfair's parallel axiom.
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