Best for printing:
http://www2.math.uic.edu/~jlewis/as/asrhombus.pdf
From: Bettina Pedemonte and Elisabetta Robotti, Aspetti linguistici
della dimostrazione (Linguistic Aspects of Proof), Notiziario
Unione Matematica Italiana, XXXI, No. 10, October, 2004,
pp. 12-30.
1.
Let C be a circle with center O and diameter AB.
Let D be a point on this circle such that AD = AO. The
perpendicular to OD passing through A intersects the circle
at E.
Show that OADE is a rhombus.
2.
ABC is a arbitrary triangle. On the exterior of each side
of the triangle, a square is constructed. Joining the free corners
of each square, three new triangles are created.
Compare the area of each of the three new triangles with the area
of the triangle ABC.
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