09/27/07 MATHEMATICS
DEPARTMENT, FERRIS STATE UNIVERSITY
MATH
COLLOQUIUM, THURSDAY, SEPTEMBER 27, 11:00 AM, STARR 138
SPEAKER: Dr. Vaclav Konecny,
Mathematics Department,
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.)
REFRESHMENTS: 11:00 am, STARR 138
http://www.ferris.edu/htmls/colleges/artsands/Math/MATH_COLLOQUIUM/ColloquiumWeb/index.html