技術としての幾何学:遠近法の数学理論<br>The Geometry of an Art : The History of the Mathematical Theory of Perspective from Alberti to Monge (Sources and Studies in the History of Mathematics and Physical Sciences) (2006. XII, 435 p. w. 604 figs.)

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技術としての幾何学:遠近法の数学理論
The Geometry of an Art : The History of the Mathematical Theory of Perspective from Alberti to Monge (Sources and Studies in the History of Mathematics and Physical Sciences) (2006. XII, 435 p. w. 604 figs.)

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  • 製本 Hardcover:ハードカバー版/ページ数 447 p./サイズ 600 illus.
  • 言語 ENG
  • 商品コード 9780387259611

基本説明

Aims at giving a comprehensive review of literature on perspective constructions from the Renaissance to the end of the eighteenth century. Covers work of some 175 authors. The main protagonists are Peiro della Francesca, Guidobaldo del Monte, Simon Stevin, Brook Taylor, and Johann Heinrich Lambert.

Full Description

Key Issues ver since the late 1970s when Pia Holdt, a student of mine at the time, and Jed Buchwald, a colleague normally working in another field, made E me aware of how fascinating the history of perspective constructions is, I have wanted to know more. My studies have resulted in the present book, in which I am mainly concerned with describing how the understanding of the geometry behind perspective developed and how, and to what extent, new insights within the mathematical theoryof perspective influenced the way the discipline was presented in textbooks. In order to throw light on these aspects of the history of perspective, I have chosen to focus upon a number of key questions that I have divided into two groups. Questions Concerning the History of Geometrical Perspective • How did geometrical constructions of perspective images emerge? • How were they understood mathematically? • How did the geometrical constructions give rise to a mathematical theory of perspective? • How did this theory evolve? Inconnectionwith the last question it is natural to takeup the following themes.

Contents

The Birth of Perspective.- Alberti and Piero della Francesca.- Leonardo da Vinci.- Italy in the Cinquecento.- North of the Alps Before 1600.- The Birth of the Mathematical Theory of Perspective Guidobaldo and Stevin.- The Dutch Development after Stevin.- Italy after Guidobaldo.- France and the Southern Netherlands after 1600.- Britain.- The German-Speaking Areas after 1600.- Lambert.- Monge Closing a Circle.- Summing Up.

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