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Geometry of Construction has long been acknowledged as the most concise and instructive guide to the technical geometry of the construction industry, and a vital resource for students in architecture, carpentry, stonemasonry and engineering. Beginning with the very basics of technical drawing, it provides a series of increasingly complex exercises to clearly explain all that the reader needs to know about geometry. Each topic is covered with a detailed diagram and carefully written instructions, enabling the student to progress from basics such as the circle and construction of scales, to some of the most complex challenges including the entasis of a column, an ionic volute, the hemispherical dome and the setting out of barrel vaulting. The authors, T. B. Nichols and N. P. Keep, both worked extensively in the construction industry before moving into teaching, so they were ideally suited to produce this highly practical guide. First published in 1947, a revised edition, incorporating numerous suggestions from students and lecturers on Raking Sections, the Projection of Points, of Lines, and of Planes, the True Lengths of Lines, the Oblique Plane and on Roof Surfaces, was produced in 1954. Last published in 1966, it has been unobtainable since then. It remains one of the most useful books for any student in the construction industry.
A Companion to Greek Architecture provides an expansive overview of the topic, including design, engineering, and construction as well as theory, reception, and lasting impact. Covers both sacred and secular structures and complexes, with particular attention to architectural decoration, such as sculpture, interior design, floor mosaics, and wall painting Makes use of new research from computer-driven technologies, the study of inscriptions and archaeological evidence, and recently excavated buildings Brings together original scholarship from an esteemed group of archaeologists and art historians Presents the most up-to-date English language coverage of Greek architecture in several decades while also sketching out important areas and structures in need of further research
Excerpt from Practical Geometry: For Builders and Architects The Science of Geometry, as its name suggests, is of great antiquity. The name, Geometry, is derived from two Greek roots, Ge the Earth, and Metron a measure, and it is clear that In the earliest period Of which we have any record Of the use of Geometry, it was used for Earth measurement, or Land-surveying, as we should now term it According to Greek historians Geometry originated in Egypt as early as 600 b.c., and was used for the measurement of land, or for readjusting the boundaries of the various provinces which had been inundated by the overflow of the Nile. Thales, who lived in Egypt from 639 b.c. To 548 b.c., taught his fellow-countrymen how to calculate the height of an Obelisk by measuring the length of its shadow. Pythagoras, Archimedes, and Euclid, carried on the study of certain branches of the Science, and much Of our more practical work in Geometry to-day is based upon the principles which they established in a somewhat abstract manner. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
How mathematics helped build the world's most important buildings from early Egypt to the present From the pyramids and the Parthenon to the Sydney Opera House and the Bilbao Guggenheim, this book takes readers on an eye-opening tour of the mathematics behind some of the world's most spectacular buildings. Beautifully illustrated, the book explores the milestones in elementary mathematics that enliven the understanding of these buildings and combines this with an in-depth look at their aesthetics, history, and structure. Whether using trigonometry and vectors to explain why Gothic arches are structurally superior to Roman arches, or showing how simple ruler and compass constructions can produce sophisticated architectural details, Alexander Hahn describes the points at which elementary mathematics and architecture intersect. Beginning in prehistoric times, Hahn proceeds to guide readers through the Greek, Roman, Islamic, Romanesque, Gothic, Renaissance, and modern styles. He explores the unique features of the Pantheon, the Hagia Sophia, the Great Mosque of Cordoba, the Duomo in Florence, Palladio's villas, and Saint Peter's Basilica, as well as the U.S. Capitol Building. Hahn celebrates the forms and structures of architecture made possible by mathematical achievements from Greek geometry, the Hindu-Arabic number system, two- and three-dimensional coordinate geometry, and calculus. Along the way, Hahn introduces groundbreaking architects, including Brunelleschi, Alberti, da Vinci, Bramante, Michelangelo, della Porta, Wren, Gaudí, Saarinen, Utzon, and Gehry. Rich in detail, this book takes readers on an expedition around the globe, providing a deeper understanding of the mathematical forces at play in the world's most elegant buildings.
Since precious few architectural drawings and no theoretical treatises on architecture remain from the premodern Islamic world, the Timurid pattern scroll in the collection of the Topkapi Palace Museum Library is an exceedingly rich and valuable source of information. In the course of her in-depth analysis of this scroll dating from the late fifteenth or early sixteenth century, Gülru Necipoğlu throws new light on the conceptualization, recording, and transmission of architectural design in the Islamic world between the tenth and sixteenth centuries. Her text has particularly far-reaching implications for recent discussions on vision, subjectivity, and the semiotics of abstract representation. She also compares the Islamic understanding of geometry with that found in medieval Western art, making this book particularly valuable for all historians and critics of architecture. The scroll, with its 114 individual geometric patterns for wall surfaces and vaulting, is reproduced entirely in color in this elegant, large-format volume. An extensive catalogue includes illustrations showing the underlying geometries (in the form of incised “dead” drawings) from which the individual patterns are generated. An essay by Mohammad al-Asad discusses the geometry of the muqarnas and demonstrates by means of CAD drawings how one of the scroll’s patterns could be used co design a three-dimensional vault.
Is the display of number and geometry in medieval religious architecture evidence of intended symbolism? This book offers a new perspective in the retrieval of meaning from architecture in the Greek East and the Latin West, and challenges the view that geometry was merely an outcome of practical procedures by masons. Instead, it attributes intellectual meaning to it as understood by Christian Platonist thought and provides compelling evidence that the symbolism was often intended. In so doing, the book serves as a companion volume to The Wise Master Builder by the same author, which found the same system implicit in plans of cathedrals and abbeys. The present book explains how the architectural symbolism proposed could have been understood at the time, as supported by medieval texts and its context, since it is context that can confer specific meaning. The introduction locates the study in its critical context and summarizes Christian Platonism as it determined the meaning of number and geometry. The investigation opens with the recurrent symbolism of the dome and the cube as heaven and earth in the Byzantine world and moves to the duality of the temple and the body in the East and West as reflections of Plato's universal macrocosm and human microcosm. The study then examines each of the figures of Platonic geometry in the architecture of the West against the background of their mathematics and metaphysics, before proceeding to their synthesis with the circle, as seen in circular and polygonal structures, the divisions of circles in Christian art, and their display in window tracery, culminating in the rose window. In view of the multivalency of the symbolism, the investigation establishes systematic occurrences of it, which strongly suggest patterns of thought underlying systems of design. The book concludes with a series of test cases, which show the after-life of the same symbolism as it overlapped with the Renaissance.