Let (A, B, C, D) be an ordered quadruple of distinct collinear points in II. Let G = S4((A,B,C, D)) = {(A, B, C, D), …, (D,C,B,A)} be the set of all possible ordered quadruples which can be formed from the set of points{A,B,C,D}. ... Prove that that there are six subsets of G which each contain four elements whose cross ratio is equal.

Let (A, B, C, D) be an ordered quadruple of distinct collinear points in II. Let G = S4((A,B,C, D)) = {(A, B, C, D), …, (D,C,B,A)} be the set of all possible ordered quadruples which can be formed from the set of points{A,B,C,D}. ... Prove that that there are six subsets of G which each contain four elements whose cross ratio is equal.

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.3: Informal Geometry And Measurement

Problem 9E: Must two different points be collinear? Must three or more points be collinear? Can three or more...

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