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 ...
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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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New. A collection of surprising concurrences of lines with some typical methods for proving their existence. Translator(s): Hilton, Peter. Series Editor(s): Watkins, William; Alexanderson, Gerald L.; Choudhury, Dipa; Firey, William J.; Kalman, Dan; Lang, Eleanor; Merris, Russell L. Series: Spectrum. Num Pages: 168 pages, 157 b/w illus. BIC Classification: PBM; PBP. Category: (G) General (US: Trade); (U) Tertiary Education (US: College). Dimension: 239 x 161 x 15. Weight in Grams: 366. 2006. Hardcover.....We ship daily from our Bookshop.
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