Constructing a Line through a Given Point and an Inaccessible Point
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Given a point and two lines , that intersect at an inaccessible point , construct a straight line through and .
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Contributed by: Izidor Hafner (August 2017)
Open content licensed under CC BY-NC-SA
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The side-splitter theorem states: if a line parallel to one side of a triangle intersects the other two sides at different points, it divides the sides in the same ratio [2, p. 354].
Reference
[1] B. I. Argunov and M. B. Balk, Elementary Geometry (in Russian), Moscow: Prosveščenie, 1966 p. 337.
[2] H. R. Jacobs, Geometry, New York: W. H. Freeman & Company, 1987.
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