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99 Points of Intersection Hans Walser

99 Points of Intersection By Hans  Walser

99 Points of Intersection by Hans Walser


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Summary

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.

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99 Points of Intersection Summary

99 Points of Intersection: Examples-Pictures-Proofs by Hans Walser

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.

99 Points of Intersection Reviews

This book is highly recommended for geometers of all ages and a wide range of expertise. It would be an excellent resource for a course taught with Dynamic Geomeetry Software."" - Mary Coupland, Australian Mathematics Teacher

About Hans Walser

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

Table of Contents

Part I. What's It All About?: 1. If three lines meet; 2. Flowers for Fourier; 3. Chebyshev and the Spirits; 4. Sheaves generate curves; Part II. The 99 points of intersection: Part III. The Background: 1. The four classical points of intersection; 2. Proof strategies; 3. Central projection; 4. Ceva's Theorem; 5. Jacobi's Theorem; 6. Remarks on selected points of intersection; References.

Additional information

CIN0883855534G
9780883855539
0883855534
99 Points of Intersection: Examples-Pictures-Proofs by Hans Walser
Used - Good
Hardback
Mathematical Association of America
2006-09-14
168
N/A
Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
This is a used book - there is no escaping the fact it has been read by someone else and it will show signs of wear and previous use. Overall we expect it to be in good condition, but if you are not entirely satisfied please get in touch with us

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