Книга 99 Points of Intersection: Examples-Pictures-Proofs

99 Points of Intersection: Examples-Pictures-Proofs

Книги Математика

Автор:

Hans Walser, Jean Pedersen

Год издания: 2006

Формат: djvu

Издат.:

The Mathematical Association of America

Страниц: 152

Размер: 2,2

ISBN: 0883855534

Язык: Английский

(голосов: 0)

Оценка:

99 Points of Intersection: Examples-Pictures-Proofs

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.

tata167

12 июня 2008

Добавление комментария к книге 99 Points of Intersection: Examples-Pictures-Proofs

Электронная библиотека книг