99 POINTS OF INTERSECTION
99 POINTS OF INTERSECTION
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99 Points of Intersection
by Hans Walser
The 99 points of intersection presented here were collected during a yearlong 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. They are developed in a sequence of figures, many without caption or verbal commentary. 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. The book addresses highschool students and students at the undergraduate level as well as their teachers, but will appeal to anyone interested in geometry.
 Brand name: MAA
 .Author: Hans Walser
 ISBN:9780883855539
 168 pp.
 Hardcover
 2006
 Series: Spectrum
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