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| Title: | Mathematics at DEC |
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| Moderator: | RUSURE::EDP |
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| Created: | Mon Feb 03 1986 |
| Last Modified: | Fri Jun 06 1997 |
| Last Successful Update: | Fri Jun 06 1997 |
| Number of topics: | 2083 |
| Total number of notes: | 14613 |
1442.0. "Modern Temple Geometry" by CLT::TRACE::GILBERT (Ownership Obligates) Tue May 14 1991 17:54
Suppose we have a triangle ABC, with base BC, and draw a line l thru A
parallel to BC. Draw lines from A to BC, dividing BC in n segments,
not necessarily equal.
Now incribe a circle in each of the n small triangles. Let h[i] be
the distance from the top of the i'th circle to line l.
The problem is to show that the product of the h[i] is a constant.
(This problem is due to Stan Rabinowitz; inspired by some "Temple Geometry").
| T.R | Title | User | Personal
Name | Date | Lines |
|---|
| 1442.1 | | JARETH::EDP | Always mount a scratch monkey. | Tue May 14 1991 18:28 | 7 |
| Re .0:
Since each division produces two new triangles, it suffices to prove
the theorem for a single division. Induction will carry on from there.
-- edp
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| 1442.2 | the answer | DESIR::BUCHANAN | | Tue Jul 21 1992 16:08 | 56
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