09/27/07 MATHEMATICS
DEPARTMENT, FERRIS STATE UNIVERSITY

MATH
COLLOQUIUM, THURSDAY, SEPTEMBER 27, 11:00 AM, STARR 138

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**SPEAKER: **Dr. Vaclav Konecny,

Mathematics Department, Ferris State
University** **

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**TITLE: The solution to the problem #3126 published in Crux Mathematicorum, **

**Vol. 32: 2006,
p. 171, 174; corrected Vol. 32: 2006, p. 303, 306.**

Dr.
Konecny will present the solution to the problem proposed by Hidetoshi
Fukugawa,

Kani, Gifu, Japan (Crux Mathematicorum, Vol.
32, No 5, September 2006, p. 303.)

Let
D be any point on the side BC of triangle ABC.
Let G1 and G2 be the incircles of triangle ABD and triangle ACD,
respectively. Let l be the common
external tangent to G1 and G2 which is different from BC. If P is the point of intersection of AD and
l, show that 2AP = AB + AC – BC ( before correction: AB = 2AP.)

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**REFRESHMENTS: **11:00
am, STARR 138

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http://www.ferris.edu/htmls/colleges/artsands/Math/MATH_COLLOQUIUM/ColloquiumWeb/index.html

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