MenuBrazos Valley Math Teachers' Circle
2010-11
Meeting 1 Part B
The Geometry of an Algebraic Take on Geometric Series
Dr. Doug Hensley
Department of Mathematics
Texas A&M University
The Geometry of an Algebraic Take on Geometric Series
Abstract
You will solve a problem found in an engineering calculus textbook (Stewart) asking for the total area of an infinite batch of circles, fitting nested into the corners of a triangle. The solution uses neither calculus nor infinite series. (The title is a bit of a tongue twister but the intent is to indicate that geometry and algebra are fairly heavily intertwined.)
Video:
To be posted eventually.
© Philip B. Yasskin, 2008-10.
Last updated Nov 9, 2010