MathDB
KL is parallel to O1O2

Source:

November 2, 2010
trigonometrygeometryangle bisectortrig identitiesLaw of Sinesgeometry proposed

Problem Statement

Two circles S1S_1 and S2S_2 with centers O1O_1 and O2O_2 respectively intersect at AA and BB. The tangents at AA to S1S_1 and S2S_2 meet segments BO2BO_2 and BO1BO_1 at KK and LL respectively. Show that KLO1O2.KL \parallel O_1O_2.