With this Puzzle ends the Second Leg.
The following figure, enclosed by three semicircles tangent among them on their extremes is called "arbelos", which means “shoemaker's knife” in Greek, and this term is used because the shaded area in the figure below resembles the blade of a knife used by ancient cobblers. Archimedes himself is believed to have been the first mathematician to study the mathematical properties of this figure. Show that its area is the same as the area of the circle which has as diameter segment BD, perpendicular to diameter CA.
SOLUTION
We've received correct solutions from:
Zsofia Zentai (Hungary)
Reka Vass (Hungary)
Maté Fenyvesi (Hungary)
Joan Josep Pla (Spain)
Luisa Wiechert (Germany)
Julian Kaping (Germany).
Look at the correct solution from Maté Fenyvesi
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