New PDF release: 99 Points of Intersection: Examples-pictures-proofs

By Hans Walser

ISBN-10: 0883855534

ISBN-13: 9780883855539

Translated from the unique German by way of Peter Hilton and Jean Pedersen

The ninety nine issues of intersection awarded 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 immediately traces, or occasionally circles, go through one and an analogous aspect. after all, we're acquainted with a few examples of this from uncomplicated user-friendly geometry — the intersection of medians, altitudes, attitude bisectors, and perpendicular bisectors of aspects of a triangle. the following there are various extra examples — a few for figures except triangles, a few the place much more than 3 instantly strains go through a standard aspect.

The major a part of the booklet provides ninety nine issues of intersection in simple terms visually. they're built in a chain of figures, many with out caption or verbal remark. additionally the e-book includes common options on and examples of the issues of intersection, in addition to a few average tools of proving their life. a number of the examples proven within the booklet have been encouraged via questions and proposals made by means of scholars and high-school lecturers. a number of of these examples haven't just a geometrical, but additionally an exciting aesthetic, element.

The e-book addresses high-school scholars and scholars on the undergraduate point in addition to their academics, yet will attract someone drawn to geometry.

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99 Points of Intersection: Examples-pictures-proofs by Hans Walser

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