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| Title: | Mathematics at DEC |
|
| Moderator: | RUSURE::EDP |
|
| 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 |
1829.0. "Crux Mathematicorum 1899" by RUSURE::EDP (Always mount a scratch monkey.) Wed Dec 29 1993 11:05
Proposed by Neven Juric, Zagreb, Croatia.
In a triangle with circumradius R, three lines are drawn tangent to the
inscribed circle and parallel to the sides, cutting three small
triangles off the corners of the given triangle. Let the circumradii
of these triangles be R[a], R[b], R[c]. Show that R[a] + R[b] + R[c] =
R.
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