method of exhaustion MethodOfExhaustion 2003-08-29 16:35:55 2005-03-04 15:25:34 Definition % this is the default PlanetMath preamble. as your knowledge % of TeX increases, you will probably want to edit this, but % it should be fine as is for beginners. % almost certainly you want these \usepackage{amssymb} \usepackage{amsmath} \usepackage{amsfonts} % used for TeXing text within eps files %\usepackage{psfrag} % need this for including graphics (\includegraphics) %\usepackage{graphicx} % for neatly defining theorems and propositions %\usepackage{amsthm} % making logically defined graphics %\usepackage{xypic} % there are many more packages, add them here as you need them % define commands here The method of exhaustion is calculating an area by approximating it by the areas of a sequence of polygons. For example, filling up the interior of a circle by inscribing polygons with more and more sides.