| 99 Points of Intersection: Examples-Pictures-Proofs Contributor(s): Walser, Hans (Author), Hilton, Peter (Translator), Pedersen, Jean (Author) |
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ISBN: 0883855534 ISBN-13: 9780883855539 Publisher: Mathematical Association of America (MAA) OUR PRICE: $49.40 Product Type: Hardcover Published: September 2006 |
| Additional Information |
| BISAC Categories: - Mathematics | Applied - Mathematics | Topology - General |
| Dewey: 514 |
| LCCN: 2006924620 |
| Series: Spectrum |
| Physical Information: 168 pages |
| Descriptions, Reviews, Etc. |
| Publisher 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. |
Contributor Bio(s): Walser, Hans: - Hans Walser is lecturer at the Swiss Federal Instititute of Technology and the University of Basel. |