The French
mathematician Gerard Desargues (1593–1662) was one of the earliest contributors
to the study of Projective Geometry. A theorem known as “Desargues theorem”
bears his name and often set him as inventor of Projective Geometry. This
theorem is very useful in the development of Projective Geometry. It is about
relating two aspects of a pair of triangles: pair of three vertices and pair of
three sides. We deal this theorem using terms as below.
Couple
Two triangles Δabc and Δa'b'c'
are said to be a couple if
Points
a,b,c,a',b',c' are distinct
Lines
aa', bb',cc' are distinct
Lines
aa', bb',cc' does not lie on either sides of triangles.
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