99 Points of Intersection: Examples-pictures-proofs (Spectrum)

99 Points of Intersection: Examples-pictures-proofs (Spectrum)

By: Jean Pedersen (author), Hans Walser (author), Peter Hilton (translator), Dan Kalman (series_editor), William J. Firey (series_editor), Dipa Choudhury (series_editor), Gerald L. Alexanderson (series_editor), Lang Lang (series_editor), William Watkins (series_editor), Merris Merris (series_editor)Hardback

1 - 2 weeks availability

Description

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.

Create a review

About Author

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

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.

Product Details

  • publication date: 14/09/2006
  • ISBN13: 9780883855539
  • Format: Hardback
  • Number Of Pages: 168
  • ID: 9780883855539
  • weight: 357
  • ISBN10: 0883855534
  • translations: German

Delivery Information

  • Saver Delivery: Yes
  • 1st Class Delivery: Yes
  • Courier Delivery: Yes
  • Store Delivery: Yes

Prices are for internet purchases only. Prices and availability in WHSmith Stores may vary significantly

Close