Książka 99 Points of Intersection Hans  WalserPeter HiltonJean Pedersen

99 Points of Intersection

Examples-Pictures-Proofs

Język: Angielski
Oprawa: Twarda
Dostępność: Dostępna u dostawcy
Wysyłamy za 14-20 dni
325.81
The 99 points of intersection presented here were collected during a year-long search for surprising...

Informacje o książce

Język
Angielski
Oprawa
Książka - Twarda
Data wydania
2006
strony
168
EAN
9780883855539
ISBN
0883855534
Enbook ID
02049904
Waga
357
Wymiary
161 x 239 x 15

Pełny opis

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.

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