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99 Points of Intersection. Examples Pictures Proofs.

Walser, Hans

Verlag: Mathematical Association of America, Washington, 2005
ISBN 10: 0883855534 / ISBN 13: 9780883855539
Gebraucht / Hardcover / Anzahl: 1
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Titel: 99 Points of Intersection. Examples Pictures...

Verlag: Mathematical Association of America, Washington

Erscheinungsdatum: 2005

Einband: Hardcover

Zustand: As New

Beschreibung:

152p excellent hardback, purple and grey laminated boards still shiny, fresh and bright condition, this title was published in the series Spectrum. Buchnummer des Verkäufers PAB 168560

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Inhaltsangabe: 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.

Inhaltsangabe: A collection of surprising concurrences of lines with some typical methods for proving their existence.

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