Description

Book Synopsis
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.

Trade Review
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

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.

99 Points of Intersection Examples Pictures

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    A Hardback by Hans Walser, Peter Hilton, Jean Pedersen

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      View other formats and editions of 99 Points of Intersection Examples Pictures by Hans Walser

      Publisher: MP-AMM American Mathematical
      Publication Date: Publication Date: 12/30/2006 12:00:00 AM
      ISBN13: 9780883855539, 978-0883855539
      ISBN10: 0883855534

      Description

      Book Synopsis
      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.

      Trade Review
      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

      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.

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