99 Points of Intersection
by Hans Walser (9780883855539)

99 Points of Intersection
 
Hans Walser
Release Date: 14 Sep 2006
Format: Hardback
Pages: 168
Category: Topology
ISBN: 9780883855539
ISBN-10: 0883855534



The 99 points of intersection presented here were collected during a year-long search for surprising concurrence of lines. For each example we find compelling evidence for the sometimes startling fact that in a geometric figure three straight lines, or sometimes circles, pass through one and the same point. Of course, we are familiar with some examples of this from basic elementary geometry - the intersection of medians, altitudes, angle bisectors, and perpendicular bisectors of sides of a triangle. Here there are many more examples - some for figures other than triangles, some where even more than three straight lines pass through a common point. The main part of the book presents 99 points of intersection purely visually, developed in a sequence of figures. In addition the book contains general thoughts on and examples of the points of intersection, as well as some typical methods of proving their existence.

AUD $80.95

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