Brook Taylor’s Work on Linear Perspective: A Study of Taylor’s Role in the History of Perspective Geometry. Including Facsimiles of Taylor’s Two Books on Perspective

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Springer Science & Business Media, Dec 6, 2012 - Mathematics - 259 pages
The aim of this book is to make accessible the two important but rare works of Brook Taylor and to describe his role in the history of linear perspective. Taylor's works, Linear Perspective and New Principles on Linear Perspective, are among the most important sources in the history of the theory of perspective. This text focuses on two aspects of this history. The first is the development, starting in the beginning of the 17th century, of a mathematical theory of perspective where gifted mathematicians used their creativity to solve basic problems of perspective and simultaneously were inspired to consider more general problems in the projective geometry. Taylor was one of the key figures in this development. The second aspect concerns the problem of transmitting the knowledge gained by mathematicians to the practitioners. Although Taylor's books were mathematical rather than challenging, he was the first mathematician to succeed in making the practitioners interested in teaching the theoretical foundation of perspective. He became so important in the development that he was named "the father of modern perspective" in England. The English school of Taylor followers contained among others the painter John Kirby and Joseph Highmore and the scientist Joseph Priestley. After its translation to Italian and French in the 1750s, Taylor's work became popular on the continent.
 

Contents

Taylors Inheritance
12
Towards a Perspective Geometry
23
ThreeDimensional Perspective Problems
34
Inverse Problems of Perspective
45
Taylor and the History of Linear Perspective in England before 1800
51
The Acknowledgment of Taylors Theory on the Continent
59
Concluding Remarks
65
To the Reader
73
Of Finding the Shadows of Given Figures
104
Of the Inverse Practice of Perspective and of the Manner of Examining
112
Books Printed for R Knaplock at the Bishops Head in St Pauls
135
New Principles of Linear Perspective
145
Definitions Axioms Theorems Problems and Examples
161
Of the Manner of Finding the Original Figures from Their
214
Figures to New Principles
244
Copyright

Propositions Relating to the General Practice of Perspective
84

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