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This review of literature on perspective constructions from the Renaissance through the 18th century covers 175 authors, emphasizing Peiro della Francesca, Guidobaldo del Monte, Simon Stevin, Brook Taylor, and Johann Heinrich. It treats such topics as the various methods of constructing perspective, the development of theories underlying the constructions, and the communication between mathematicians and artisans in these developments.
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.
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.
Aus den Rezensionen:
"Dieses Buch leistet einen unerlässlichen Beitrag zur Geschichte der Perspektive ... eine feste Nomenklatur und eine einheitliche geometrische Darstellung ...auch klar, dass jene Fragen durch andere Spezialisten behandelt wurden ... Die Inhaltsübersicht bietet dank Ihrer Feinteiligkeit ein nützliches Instrument zur Orientierung. Der Text ist durchgehend klar formuliert und strukturiert. Begleitet wird er von Reproduktionen aus den Quellentexten sowie Hunderten von gekonnt gezeichneten geometrischen Diagrammen. Die geometrischen Ausführungen ... sind in den Legenden untergebracht, so dass der Fluss des Haupttextes nicht gehindert wird ..." -- Samuel Gessner, in: NTM, 2010, Issue 1, S. 123 f.
"Dieses Buch leistet einen unerlässlichen Beitrag zur Geschichte der Perspektive ... eine feste Nomenklatur und eine einheitliche geometrische Darstellung ...auch klar, dass jene Fragen durch andere Spezialisten behandelt wurden ... Die Inhaltsübersicht bietet dank Ihrer Feinteiligkeit ein nützliches Instrument zur Orientierung. Der Text ist durchgehend klar formuliert und strukturiert. Begleitet wird er von Reproduktionen aus den Quellentexten sowie Hunderten von gekonnt gezeichneten geometrischen Diagrammen. Die geometrischen Ausführungen ... sind in den Legenden untergebracht, so dass der Fluss des Haupttextes nicht gehindert wird ..." -- Samuel Gessner, in: NTM, 2010, Issue 1, S. 123 f.
From the reviews:
"The book in question is a survey of the history of this subject ... . I do not know the author, but I came to trust her voice in the book, to trust her honesty and her judgments. I appreciated the clarity of her illustrations and her concern for the reader's understanding. I found the book to be carefully written, and I was impressed with the immense amount of work that must have gone into writing it." (Greg St. George, Zentralblatt für Didaktik der Mathematik, Vol. 39, 2007)
"I was very pleased to find Kristi Andersen's book on the history of the geometrical evolution of perspective. ... Reading it from the point of view of someone who is interested in geometry as well as art, it is a fascinating book, but it also has much to offer the historian of mathematics. ... it is extremely well produced and researched and makes an invaluable contribution to the literature on perspective as well as the history of geometry." (John Sharp, Journal of Mathematics and the Arts, Vol. 1 (4), 2007)
"The book in question is a survey of the history of this subject ... . I do not know the author, but I came to trust her voice in the book, to trust her honesty and her judgments. I appreciated the clarity of her illustrations and her concern for the reader's understanding. I found the book to be carefully written, and I was impressed with the immense amount of work that must have gone into writing it." (Greg St. George, Zentralblatt für Didaktik der Mathematik, Vol. 39, 2007)
"I was very pleased to find Kristi Andersen's book on the history of the geometrical evolution of perspective. ... Reading it from the point of view of someone who is interested in geometry as well as art, it is a fascinating book, but it also has much to offer the historian of mathematics. ... it is extremely well produced and researched and makes an invaluable contribution to the literature on perspective as well as the history of geometry." (John Sharp, Journal of Mathematics and the Arts, Vol. 1 (4), 2007)