**ERIC Number:**ED058058

**Record Type:**RIE

**Publication Date:**1971

**Pages:**78

**Abstractor:**N/A

**Reference Count:**0

**ISBN:**N/A

**ISSN:**N/A

The Trisection Problem.

Yates, Robert C.

This book, photographically reproduced from its original 1942 edition, is an extended essay on one of the three problems of the ancients. The first chapter reduces the problem of trisecting an angle to the solution of a cubic equation, shows that straightedge and compasses constructions can only give lengths of a certain form, and then proves that many angles give an equation which does not have any roots of this form. The second chapter explains how various curves (including the hyperbola and the parabola) can be used to trisect any angle, and the third chapter describes several mechanical devices for doing the same thing. Approximate methods are discussed and compared in the fourth chapter, and the final chapter is devoted to some fallacious solutions. The whole book has an interesting historical flavor. The mathematics used rarely goes beyond secondary school algebra and trigonometry. (MM)

**Publication Type:**N/A

**Education Level:**N/A

**Audience:**N/A

**Language:**N/A

**Sponsor:**N/A

**Authoring Institution:**National Council of Teachers of Mathematics, Inc., Reston, VA.