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 Home > Shapes > Geometry It has become obvious that the Shapes category was in way over its head with all sorts of geometrical problems. So, the hard-core Geometry problems will now reside here, where they will fit in much better.

Circles Γ1 and Γ2 ( with centers O1 and O2 respectively ) intersect
at points A and B such that neither center lies on or inside the other circle.
Lines mA and mB are tangent to circle Γ1 at points A and B respectively.

Distinct points C and D lie on Γ2 ∩ H(A,mB) ∩ H(B,mA), where H(X,mY)
denotes the open half-plane determined by the line mY and does not contain point X.

Rays CA, CB, DA, and DB intersect Γ1 at points CA, CB, DA, and DB
respectively.

and

Prove that points I, J, and O1 are collinear.

 (No Solution Yet, 0 Comments) Submitted on 2018-05-20 by Bractals
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