These are exactly the same three equations we had before so that, if the Cevians do intersect, then the product of the ratios is 1 . Conversely, if we assume that K is the point of intersection of...These are exactly the same three equations we had before so that, if the Cevians do intersect, then the product of the ratios is 1 . Conversely, if we assume that K is the point of intersection of the two Cevians BF and CD and let E′ be the intersection of line AK with line BC, we can proceed exactly as before.