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A building cannot be good to look at if it is unplanned, with its parts totally unrelated to one another; but on the other hand if the arrangement is too regular it becomes boring and dull. The object of architectural proportion is to strike the balance between these extremes, creating an interesting visible order by the repetition of similar shapes. In this book, first published in 1958, Mr Scholfield deals with the history of the theory of proportion, and in doing so develops his own positive theory, which reconciles the apparent contradictions of rival systems and serves as a key to historical understanding. Even when he is dealing with complex themes, Mr Scholfield's exposition can be followed by the uninitiated reader. Those already interested in architecture and the visual arts will certainly want the book; and those who are not will find, on reading it, that their interest is stimulated.
"In 1591, Giovanni Paolo Gallucci published his Della simmetria dei corpi humani, an Italian translation of Albrecht Dürer's Four Books on Human Proportion. While Dürer's treatise had been translated earlier in the sixteenth-century into French and Latin, it was Gallucci's Italian translation that endured in popularity as the most cited version of the text in later Baroque treatises, covering topics that were seen as central to arts education, connoisseurship, patronage, and the wider appreciation of the studia humanitatis in general. The text centres on the relationships between beauty and proportion, macrocosm and microcosm: relationships that were not only essential to the visual arts in the early modern era, but that cut across a range of disciplines - music, physiognomics and humoral readings, astronomy, astrology and cosmology, theology and philosophy, even mnemonics and poetry. In his version of the text, Gallucci expanded the educational potential of the treatise by adding a Preface, a Life of Dürer, and a Fifth Book providing a philosophical framework within which to interpret Dürer's previous sections. This translation is the first to make these original contributions by Gallucci accessible to an English-speaking audience. Gallucci's contributions illuminate the significance of symmetry and proportion in the contemporary education of the early modern era, informing our understanding of the intellectual history of this period, and the development of art theory and criticism. This is a valuable resource to early modern scholars and students alike, especially those specialising in history of art, philosophy, history of science, and poetry."--Publisher's website.
Ancient architects and artists had a way of striking resonant chords in the viewers of their work. This book points to a possible way of returning a sense of unity to the visual arts through a combination of theoretical ideas and practical methods, of narrative description and visual exercises.Proportion, the use of number and geometry as design tools, is seen in the context of the search for the beautiful. From the theoretic, symbolic mathematics of the Pythagoreans, Platonists, and Neo-Platonists, the book proposes an aesthetic theory, a way of approaching beauty, rooted in the idea of psyche and expressed through the ancient sciences of arithmetic, geometry, music, and astronomy. Topics treated include: an explanation of the concept of symbolic or qualitative number; an introduction to Pythagorean and Platonic numerical philosophy; the nature of beauty and its relation to number; the derivation of the ancient musical octave; the Golden Section, its mathematics, geometry, and relation to philosophy, particularly its role as a geometrical logos; and the connection of these ideas to the numerical-geometrical canons of classical architecture. These concepts are illustrated step by step as applied to the elements and archetypal compositions of classical architecture, such as the order and portico, using arithmetic, geometric, and harmonic ratio methods.The proportional idea is illustrated with reconstructions of exemplary buildings based on the methods described, following through the historical periods of Egypt, Greece, Rome, the Middle ages, the Italian Renaissance, and the Enlightenment. Though the book is focused on architecture, the methods presented may be used by artists and designers in any visual field. The book suggests several pathways on which contemporary designers might move toward creating a sane and beautiful world through a merger of art and science.
The desire for harmony is universal among all cultures. In Infinite Measure, we rediscover a fundamental starting point for designers of all ages: the simple act of drawing with a compass and a rule can sensitize the designer to the rich subtleties of spatial harmony, no matter how one ultimately chooses to express it.
This handbook provides the student, practising architect or interested layman with a well-illustrated and readable comparative guide to proportion systems in architecture.
The two brief works presented here in translation have played an important role in shaping our understanding of the history of theories of proportion in architecture from Classical times through the Renaissance and thereafter.
In the eighteenth century the universal harmony of God's creation and the perfection of the unity (1:1) were philosophically, morally and devotionally significant. Ruth Tatlow employs theoretical evidence and practical demonstrations to explain how and why Bach used numbers in his published compositions.
The number Phi, simply defined, is one plus the square root of five, all divided by two. But its myriad occurrences in art, nature, and science have been a source of speculation and wonder for thousands of years. Divine Proportion draws upon both religion and science to tell the story of Phi and to explore its manifestations in such diverse places as the structure of the inner ear, the spiral of a hurricane, the majesty of the Parthenon, and the elusive perfection of the Mona Lisa. A universal key to harmony, regeneration, and balance, Phi is at the heart of a tantalizing story begun on clay tablets in ancient Babylon, and which will continue to be written for centuries to come.
An introduction to applied probability; Assessing significance in a fourfold table; Determining sample sizes needed to detect a difference between two proportions; How to randomize; Sampling method; The analysis of data from matched samples; The comparison of proportions from several independent samples; Combining evidence from fourfold tables; The effects of misclassification errors; The control of misclassification error; The measurement of interrater agreement; The standardization of rates.