Geometric Constructions

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Geometric constructions have been a popular part of mathematics throughout history. The first chapter here is informal and starts from scratch, introducing all the geometric constructions from high school that have been forgotten or were never learned. The second chapter formalises Plato's game, and examines problems from antiquity such as the impossibility of trisecting an arbitrary angle. After that, variations on Plato's theme are explored: using only a ruler, a compass, toothpicks, a ruler and dividers, a marked rule, or a tomahawk, ending in a chapter on geometric constructions by paperfolding. The author writes in a charming style and nicely intersperses history and philosophy within the mathematics, teaching a little geometry and a little algebra along the way. This is as much an algebra book as it is a geometry book, yet since all the algebra and geometry needed is developed within the text, very little mathematical background is required. This text has been class tested for several semesters with a master's level class for secondary teachers.

Mehr Informationen
ReiheUndergraduate Texts in Mathematics
ISBN 9781461268451
Sprache Englisch
Ausgabe Softcover reprint of the original 1st ed. 1998
Erscheinungsdatum 12.10.2012
Umfang 206 Seiten
Genre Mathematik/Geometrie
Format Taschenbuch
Verlag Springer US
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