Drexel dragonThe Math ForumDonate to the Math Forum



Search All of the Math Forum:

Views expressed in these public forums are not endorsed by Drexel University or The Math Forum.


Math Forum » Discussions » sci.math.* » sci.math.independent

Topic: Who found this first?
Replies: 0  

Advanced Search

Back to Topic List Back to Topic List  
Steve B

Posts: 15
Registered: 12/8/09
Who found this first?
Posted: May 28, 2013 1:56 PM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

Two special cases (involving altitudes and perpendicular bisectors) of the following are mentioned in Secrets of Triangles: A Mathematical Journey by Alfred S. Posamentier and Ingmar Lehmann, but as far as I can tell the general result is not mentioned. I was curious as to who first found it. It may simply be so obvious that its original discoverer is not known.

From P, a point in the interior of triangle ABC, drop perpendiculars to each of the sides of ABC. The feet of the perpendiculars (Fa, Fb, Fc) will divide BC into segments BFa and FaC of length a1 and a2, CA into segments CFb and FbA of length b1 and b2 and AB into segments AFc and FcB of lengths c1 and c2.

a1^2 + b1^2 + c1^2 = a2^2 + b2^2 + c2^2



Point your RSS reader here for a feed of the latest messages in this topic.

[Privacy Policy] [Terms of Use]

© Drexel University 1994-2014. All Rights Reserved.
The Math Forum is a research and educational enterprise of the Drexel University School of Education.