By Hans Walser
Translated from the unique German by way of Peter Hilton and Jean Pedersen
The ninety nine issues of intersection offered the following have been gathered in the course of a year-long look for superb concurrence of strains. for every instance we discover compelling facts for the occasionally startling undeniable fact that in a geometrical determine 3 directly strains, or occasionally circles, go through one and an identical aspect. in fact, we're accustomed to a few examples of this from uncomplicated basic geometry Â— the intersection of medians, altitudes, perspective bisectors, and perpendicular bisectors of aspects of a triangle. right here there are various extra examples Â— a few for figures except triangles, a few the place much more than 3 instantly traces go through a standard aspect.
The major a part of the publication offers ninety nine issues of intersection simply visually. they're constructed in a chain of figures, many with out caption or verbal statement. additionally the booklet comprises basic strategies on and examples of the issues of intersection, in addition to a few common tools of proving their lifestyles. the various examples proven within the booklet have been encouraged by way of questions and proposals made by means of scholars and high-school academics. a number of of these examples haven't just a geometrical, but in addition an interesting aesthetic, element.
The ebook addresses high-school scholars and scholars on the undergraduate point in addition to their lecturers, yet will attract someone attracted to geometry.
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99 Points of Intersection: Examples-pictures-proofs by Hans Walser