Euclid:Proposition/VI/2
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Proposition
In the words of Euclid:
- If a straight line be drawn parallel to one of the sides of a triangle, it will cut the sides of the triangle proportionally; and, if the sides of the triangle be cut proportionally [so that the segments adjacent to the third side are corresponding terms in the proportion], the line joining the points of section will be parallel to the remaining side of the triangle.
(The Elements: Book $\text{VI}$: Proposition $2$)
Sources
- 1926: Sir Thomas L. Heath: Euclid: The Thirteen Books of The Elements: Volume 2 (2nd ed.) ... (previous) ... (next): Book $\text{VI}$. Propositions