Geometry Problem 1426: Two Squares, Collinear Points, Triangle, Quadrilateral, Sum of the Areas

The figure below shows two squares ABCD and EFGH so that A, D, E, and H are collinear points. Line AF cuts BE at J and BH at K, Line DF cuts BE at L and BH at M. If area AJLD = S1, area BKJ = S2, area KFM = S3, and area LMHE = S4, prove that S1 + S3 = S2 + S4.
 

Geometry problem 1426: Two Squares, Collinear Points, Triangle, Quadrilateral, Sum of the Areas, Tutoring 


Geometric Art of Problem 1426: Sketching, Typography, iPad Apps

Geometric Art of Problem 1426: Two Squares, Collinear Points, Triangle, Quadrilateral, Sum of the Areas, Sketching, Typography, iPad Apps, Art, SW, Tutor


Animation of the Conformal Mapping or Transformation of Problem 1426

Animation: Geometric Art: Conformal Mapping or Transformation of Problem 1426, 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 transformation of problem1426 

See also: Typography and poster of problem 1417.

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