We are all familiar with the everyday notion of two-sided symmetry, as viewed for example in the external form of the human body. But in its broadest interpretation symmetry is a property which involves regularity and repetition. In this sense symmetry can be found everywhere, especially in science and art. The aim of this book is to present selected examples of symmetry, drawn from a wide variety of topics, in a way that will be understandable to students and teachers of mathematics as well as to the interested layman.

Symmetry (Spectrum)

Reference

Walser, Hans

Foreign Language Study & Reference

The Mathematical Association of America

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.

99 Points of Intersection: Examples-Pictures-Proofs

Science & Math

Pedersen, Jean

Mathematics

American Mathematical Society

Spiralen, Schraubenlinien und spiralartige Figuren: Mathematische Spielereien in zwei und drei Dimensionen (German Edition)

Springer Spektrum

Der Goldene Schnitt: Geometrische und zahlentheoretische Betrachtungen (German Edition)

Spirals, Helical Lines, and Spiral-Like Figures: Mathematical Playfulness in Two and Three Dimensions

Springer

The Golden Ratio: Geometric and Number Theoretical Considerations

Der Goldene Schnitt German Edition

Der Goldene Schnitt (German Edition)

Arts & Photography

Edition am Gutenbergplatz Leipzig

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