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Math Forum » Discussions » Math Topics » geometry.pre-college.independent

Topic: ORTHOCENTER
Replies: 1   Last Post: Apr 22, 2000 10:15 PM

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John A Benson

Posts: 85
Registered: 12/3/04
ORTHOCENTER
Posted: Dec 20, 1999 8:58 AM
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winmail.dat (2.0 K)

It is important, I think, because it exists. I think it is rather remarkable
that any of these points of concurrency exist at all, but the fact that
there are four of them is remarkable. It is also interesting to look at when
the points are collinear , concurrent etc.

There is a nice theorem about the orthocenter, but I doubt that it is
important. it is just pretty. Consider the three vertices of the triangle
and the orthocenter. Select two of those vertices and the orthocenter. Draw
the triangle. the vertex you left out is the orthocenter of that triangle.
Not only is it pretty , but it's proof is accessible.

I think completeness is enough justification for inclusion. Pretty is even
better.


John Benson
Evanston Township High School 715 South Boulevard
1600 Dodge Avenue Evanston Il 60202-2907
Evanston IL 60204 847) 328-8019 (phone & fax)
(847) 424-7600 (847) 226-7713 ( cell)




Date Subject Author
12/20/99
Read ORTHOCENTER
John A Benson
4/22/00
Read Book Recommendation wanted
Peter Ash

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