Geometry Problem 1259

Elements: Triangle, Circumcircle, Circle, Diameter, Parallel Lines

In the figure below, ABC is a triangle with a point D on the circumcircle. The circle of diameter AB cuts AD at E and the circle of diameter CD cuts BC at F. Prove that EF is parallel to AD.

Geometry Problem 1259: Triangle, Circumcircle, Circle, Diameter, Parallel Line


Art of Geometry Problem 1259 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.

Geometry Problem 1259: Circle patterns Mobile Apps