The Geometry of an Art: The History of the Mathematical Theory of Perspective from Alberti to MongeSpringer Science & Business Media, 23 nov 2008 - 814 pagina's 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. |
Inhoudsopgave
1 | |
10 | |
Alberti and Piero della Francesca | 17 |
12 | 50 |
Leonardo da Vinci | 81 |
2 | 84 |
3 | 115 |
North of the Alps Before 1600 | 161 |
17 | 451 |
An Open Window | 472 |
Britain | 489 |
17 | 511 |
The GermanSpeaking Areas after 1600 | 599 |
Lambert | 635 |
Monge Closing a Circle | 707 |
Appendix One On Ancient Roots of Perspective | 723 |
The Birth of the Mathematical Theory | 237 |
10 | 251 |
The Dutch Development after Stevin | 291 |
Italy after Guidobaldo | 369 |
France and the Southern Netherlands after 1600 | 401 |
11 | 436 |
13 | 445 |
Overige edities - Alles bekijken
The Geometry of an Art: The History of the Mathematical Theory of ... Kirsti Andersen Geen voorbeeld beschikbaar - 2016 |
Veelvoorkomende woorden en zinsdelen
Alberti construction Aleaume and Migon anamorphoses appeared applied Benedetti book on perspective Bosse Brook Taylor caption of figure chapter circle construct the image cube curvilinear perspective depicted Desargues Desargues's determining the image diagonal diagram distance point construction drawing Dürer elevation construction equal example eye point geometry given grid ground line Guidobaldo ibid idea illustration included inspired inverse problems later Leonardo line segment Linear Perspective Marolois mathematical mathematicians method Niceron object orthogonal projection painter painting perpendicular Perspectivae perspectival perspective composition perspective constructions perspective image perspective projection perspectivists picture plane Piero plan and elevation point of intersection Pozzo practice of perspective presented principal vanishing point problem procedure projective geometry prospettiva published rabatment rectangle result Schooten Serlio sGravesande sGravesande 1711 side spective square Stevin struction Taylor theorem theory of perspective three-dimensional thrown into perspective tion transversal triangles vanishing line Vaulezard vertical line Vignola visual ray