A Property of Proportions


Ángel M. Carreras Jusino


Let and for some a, b, c, d, f, and g ∈ ℜ.

This implies that c = ka and d = kb for some k ∈ ℜ.

Similarly f = la and g = lb for some ∈ ℜ.

Now, lets check what is .

∴ If and , then

In a similar way can also be shown that if and , then:

Go Back to Proof of Ceva's Theorem using Ratios of Areas

Return to Angel's Homepage

Return to EMAT 6880 Page