99 Points of Intersection
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99 Points of Intersection by Hans Walser
Book DescriptionThe 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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Book DetailsISBN: 9780883855539
(228mm x 152mm x 13mm)
Imprint: Mathematical Association of America
Publisher: Mathematical Association of America
Publish Date: 14-Sep-2006
Country of Publication: United States
Books By Author Hans Walser
Golden Section, Paperback (September 2001)
This book describes examples of the Golden Section, and shows some paths to further developments.
Symmetry, Paperback (March 2001)» View all books by Hans Walser
An examination of symmetry for the interested layman.
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Author Biography - Hans Walser
Hans Walser is lecturer at the Swiss Federal Instititute of Technology and the University of Basel.
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