Geometry Problem 1401: Right Triangle with three circles on the sides, Isosceles, Diameter, Center, Tangent, Congruence

Proposition

The figure below shows a right triangle ABC with the circles C1, C2, and C3 with diameters AB, BC, and AC, respectively. C1 and C2 meet at D and DAE and DCF are isosceles right triangles. C3 meets EF at G and G1. EH is tangent to C1 and FJ is tangent to C2. Circle with center E and radius EH meets the circle with center F and radius FJ at K and L. If MN is the common external tangent to C1 and C2, prove that GL = MN.
 
 

Geometry Problem 1401: Right Triangle with three circles on the sides, Isosceles, Tangent, Congruence, Tutor
 


Sketch of Problem 1401 using iPad Apps


Sketch of problem 1401 using iPad Apps, Triangles, Circles, Tangent, Congruence, Diameters


Animation of the Conformal Mapping of Problem 1401

Animation: Geometric Art: Conformal Mapping or Transformation of Problem 1401, iPad Apps, Art, SW, Tutor

Conformal Mapping

A conformal mapping or conformal transformation is a continuous mapping preserving the form of infinitesimal figures. This conformal map produces a realistic view of the original image or map. This the conformal mapping of problem1401.

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.