Steiner-Lehmus Direct Proof

888 views

Published on

The Steiner-Lehmus Theorem is famous; it even has its own name and some history. It is described in the book H.S.M. Coxeter, S.L. Greitzer - Geometry Revisited, 1967. Jakob Steiner could be the greatest mathematician in synthetic geometry and was the first person to solve the problem.

Hugh Ching, who has never missed a geometry problem and has never had to take final examinations in three geometry classes of three different teachers, solved the Steiner-Lehmus problem in high school without knowing its popularity. After becoming the founder of Post-Science, he is no longer understandable.

Published in: Education
0 Comments
0 Likes
Statistics
Notes
  • Be the first to comment

  • Be the first to like this

No Downloads
Views
Total views
888
On SlideShare
0
From Embeds
0
Number of Embeds
15
Actions
Shares
0
Downloads
3
Comments
0
Likes
0
Embeds 0
No embeds

No notes for slide

Steiner-Lehmus Direct Proof

  1. 1. Steiner-Lehmus 10-Second Direct Proof By Hugh Ching
  2. 2. Steiner-Lehmus Theorem  If in a triangle the two angle bisectors drawn from vertices at the base to the sides are of equal length, then the triangle is isosceles.
  3. 3. Steiner-Lehmus 10-Second Direct Proof by Founder of Post-Science Hugh Ching (http://www.postscience.com)  Draw two lines parallel to the base of the triangle to form two isosceles triangles.  The two lines must be equal.  Otherwise, the top line with the larger angle would be shorter in the triangle, but longer in the isosceles triangle. Ching: Geometry is the deductive reduction to the perceptively obvious with inductive generalization.
  4. 4. Appendix Some Background Information  The Steiner-Lehmus Theorem is famous; it even has its own name and some history. It is described in the book H.S.M. Coxeter, S.L. Greitzer - Geometry Revisited, 1967. Jakob Steiner could be the greatest mathematician in synthetic geometry and was the first person to solve the problem.  Hugh Ching, who has never missed a geometry problem and has never had to take final examinations in three geometry classes of three different teachers, solved the Steiner-Lehmus problem in high school without knowing its popularity. After becoming the founder of Post- Science, he is no longer understandable.

×