99 Points of Intersection / Nejlevnější knihy
99 Points of Intersection

Kód: 02049904

99 Points of Intersection

Autor Hans WalserPeter HiltonJean Pedersen

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 th ... celý popis

1878


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Anotace knihy

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.

Parametry knihy

Zařazení knihy Knihy v angličtině Mathematics & science Mathematics Geometry

1878

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