99 Points of Intersection: Examples-Pictures-Proofs

Front Cover
MAA, Sep 14, 2006 - Mathematics - 153 pages
0 Reviews
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.
  

What people are saying - Write a review

We haven't found any reviews in the usual places.

Contents

Whats it all about?
3
The 99 points of intersection
17
The background
117

Common terms and phrases

About the author (2006)

Hans Walser is lecturer at the Swiss Federal Instititute of Technology and the University of Basel.

Bibliographic information