Geometry Problem 1498: Intersecting Circles, Diameter, Common Chord, Secant, Cyclic Quadrilateral, Concurrent Lines, Concyclic and Collinear Points
Two circles with collinear diameters AC and BD intersect at M and N as
shown in the figure. Chords BF, CG and MN are concurrent at E. AG
and DF are extended to meet at H. Prove that: (1) H,G,E,F are concyclic
points,
(2) H,G,K,C are concyclic points, (3) G,A,D,F are concyclic points, (4)
G,A,K,E are concyclic points, (5) G,B,C,F are concyclic points, (6) E,K,D,F are
concyclic points, (7) H,M,N are collinear points.
Typography and Sketch of Problem 1498: Chichen Itza in the background
Geometric Art using Mobile Apps
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.