Episodes in 19 & 20C Euclidean Geometry; Author: Honsberger, Ross; Paperback

Author: Honsberger, Ross
Paperback
188 pages
Published: September 1996
The Mathematical Association of America
ISBN: 0883856395
This item non-returnable. Order may not be canceled.

Professor Honsberger has succeeded in 'finding' and 'extricating' unexpected and little known properties of such fundamental figures as triangles, results that deserve to be better known. He has laid the foundations for his proofs with almost entirely synthetic methods easily accessible to students of Euclidean geometry early on. While in most of his other books Honsberger presents eachof his gems, morsels, and plums, as self contained tidbits, in this volume he connects chapters with some deductive treads. He includes exercises and gives their solutions at the end of the book. In addition to appealing to lovers of synthetic geometry, this book will stimulate also those who, in this era of revitalizing geometry, will want to try their hands at deriving the results by analytic meDealing with various aspects of Euclidean geometry, this work begins with the broken-chord theorem, attributed to Archimedes by Islamic mathematicians, and goes on to discuss various properties of circles, triangles, and quadrilaterals.