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When two triangles abc and abd share an edge ab, their four vertices lie on five lines through th sides of the two triangles. Draw a system of five points and four lines that could be a projective dual to this system of four points and five lines. Label the four lines in your answer as a, b, C, and d so that the correspondence between them and the four points is clearly identified.

When two triangles abc and abd share an edge ab, their four vertices lie on five lines through th sides of the two triangles. Draw a system of five points and four lines that could be a projective dual to this system of four points and five lines. Label the four lines in your answer as a, b, C, and d so that the correspondence between them and the four points is clearly identified.

Elementary Geometry For College Students, 7e
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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When two triangles abc and abd share an edge ab, their four vertices lie on five lines through the sides of the two triangles. Draw a system of five points and four lines that could be a projective dual to this system of four points and five lines. Label the four lines in your answer as a, b, C, and d so that the correspondence between them and the four points is clearly identified.
Transcribed Image Text:When two triangles abc and abd share an edge ab, their four vertices lie on five lines through the sides of the two triangles. Draw a system of five points and four lines that could be a projective dual to this system of four points and five lines. Label the four lines in your answer as a, b, C, and d so that the correspondence between them and the four points is clearly identified.
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