09/27/07 MATHEMATICS DEPARTMENT, FERRIS STATE UNIVERSITY

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

 

SPEAKER: Dr. Vaclav Konecny,

Mathematics Department, Ferris State University

 

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

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