Category:Parallel Transversal Theorem

This category contains pages concerning Parallel Transversal Theorem:

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 $2$)