By George E. Martin (auth.)

Geometric buildings were a well-liked a part of arithmetic all through heritage. the traditional Greeks made the topic an paintings, which was once enriched via the medieval Arabs yet which required the algebra of the Renaissance for an intensive figuring out. via coordinate geometry, a variety of geometric building instruments might be linked to a number of fields of genuine numbers. This e-book is ready those institutions. As laid out in Plato, the sport is performed with a ruler and compass. the 1st bankruptcy is casual and begins from scratch, introducing the entire geometric buildings from highschool which were forgotten or have been by no means noticeable. the second one bankruptcy formalizes Plato's video game and examines difficulties from antiquity resembling the impossibility of trisecting an arbitrary perspective. After that, diversifications on Plato's topic are explored: utilizing just a ruler, utilizing just a compass, utilizing toothpicks, utilizing a ruler and dividers, utilizing a marked rule, utilizing a tomahawk, and finishing with a bankruptcy on geometric buildings through paperfolding. the writer writes in a captivating kind and properly intersperses heritage and philosophy in the arithmetic. He hopes that readers will examine a bit geometry and a bit algebra whereas having fun with the trouble. this is often as a lot an algebra booklet because it is a geometry ebook. because the entire algebra and all of the geometry which are wanted is constructed in the textual content, little or no mathematical historical past is needed to learn this booklet. this article has been type confirmed for a number of semesters with a master's point classification for secondary teachers.