Orange and Blue disks have a common tangent line IK intersecting DB at A. The red circle has chord DB, and tangents AF and AG. Show that the chord FG , the line DB, and two of the common tangents (LM and OP) have H in common.
Four triangles in a rectangle. The three red triangles have equal areas. What is blue : red?
Two squares share a vertex. The shown vertex can lie anywhere on the lower side. What is the maximum of red/blue?
Three congruent squares and an equilateral triangle. What is blue : orange?
An equilateral triangle with a cevian and two inscribed circles. What is yellow : red?
The polar lines for a point E with respect to the blue and green circles intersect at a point T. Show that the orange circle with diameter ET intersects the other circles orthogonally.
A semicircle and two squares. What is the blue area in terms of a and b?
A rectangle and a square with an extended side. Prove that their areas are equal.
Every side of a quadrilateral is divided into three equal parts. What is purple : orange?
Two squares inscribed in a rectangle. What fraction is purple?
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