By Hans Walser
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 Â— the intersection of medians, altitudes, attitude bisectors, and perpendicular bisectors of aspects of a triangle. the following there are various extra examples Â— 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