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December 1, 2020 at 10:09 am #296092
jagneaux
Participant99 Points Of Intersection
Examples, Pictures, Proofs
by Hans Walser📕 99 Points Of Intersection – Click Here 📕
- Publisher: Mathematical Association of America (MAA)
- Format: hardcover, 153 pages
- Language: english
- Genres: mathematics
- Release date: September 1, 2006
- ISBN: 9780883855539 (0883855534)
- Author: Hans Walser
About The Book
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.
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December 1, 2020 at 10:25 am #296093jagneaux
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