What is the result of Basic proportionality theorem?

If a line parallel to a side of a triangle intersects the remaining sides in two distinct points, then the line divides the side in the same proportion.

Given: In ∆ABC, D and E are points on AB and AC respectively, such that DE is parallel to BC.

According to the basic proportionality theorem,

$\frac{AD}{BD} = \frac{AE}{EC}$.