The figure shows a square ABCD
inscribed in a circle O. S is the area of the right triangle
AOB, S_{1} is the area of the lune of Hippocrates bounded by the semicircle of
diameter AB and the arc AB. A radius OE extended cuts
semicircle AB at F. S_{2} is the area of the
kite EHFG (H
on OA extended, G on OB extended). S_{3} and S_{4} are the areas of
the triangles EFH and EFG, respectively. S_{5} and S_{6} are the areas
of the curved triangles AFE and BFE. Prove that (1) S_{3} = S_{5}; (2)
S_{4} = S_{6}; (3) S = S_{1} = S_{2}; (4) AB^{2} = 4.AH.BG. This entry contributed by
Markus Heisss, Wurzburg, Bavaria. Published in: "Die Wurzel  Zeitschrift fur Mathematik, Heft 11/2015",
www.wurzel.org.

Art of Geometry Problem 1335 using Mobile Apps. Circle Patterns.
Geometric art is a form of art based on the use and application of geometric figures. A geometric figure is any set or combination of points, lines, surfaces and solids.
A mobile app or mobile application software is a computer program designed to run on smartphones and tablet computers.
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Last updated: May 7, 2017
