# 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

## Snapshots

## Details

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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