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The Harper Euclid
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Download or read book The Harper Euclid written by Euclid and published by . This book was released on 1890 with total page 538 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Euclid's Heritage. Is Space Three-Dimensional? by : P. Janich
Download or read book Euclid's Heritage. Is Space Three-Dimensional? written by P. Janich and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 237 pages. Available in PDF, EPUB and Kindle. Book excerpt: We live in a space, we get about in it. We also quantify it, we think of it as having dimensions. Ever since Euclid's ancient geometry, we have thought of bodies occupying parts of this space (including our own bodies), the space of our practical orientations (our 'moving abouts'), as having three dimensions. Bodies have volume specified by measures of length, breadth and height. But how do we know that the space we live in has just these three dimensions? It is theoreti cally possible that some spaces might exist that are not correctly described by Euclidean geometry. After all, there are the non Euclidian geometries, descriptions of spaces not conforming to the axioms and theorems of Euclid's geometry. As one might expect, there is a history of philosophers' attempts to 'prove' that space is three-dimensional. The present volume surveys these attempts from Aristotle, through Leibniz and Kant, to more recent philosophy. As you will learn, the historical theories are rife with terminology, with language, already tainted by the as sumed, but by no means obvious, clarity of terms like 'dimension', 'line', 'point' and others. Prior to that language there are actions, ways of getting around in the world, building things, being interested in things, in the more specific case of dimensionality, cutting things. It is to these actions that we must eventually appeal if we are to understand how science is grounded.
Download or read book The Monist written by Paul Carus and published by . This book was released on 1905 with total page 752 pages. Available in PDF, EPUB and Kindle. Book excerpt: Vols. 2 and 5 include appendices.
Book Synopsis The American Mathematical Monthly by :
Download or read book The American Mathematical Monthly written by and published by . This book was released on 1900 with total page 620 pages. Available in PDF, EPUB and Kindle. Book excerpt: Includes section "Recent publications."
Book Synopsis The Fourth Dimension and Non-Euclidean Geometry in Modern Art, revised edition by : Linda Dalrymple Henderson
Download or read book The Fourth Dimension and Non-Euclidean Geometry in Modern Art, revised edition written by Linda Dalrymple Henderson and published by MIT Press. This book was released on 2018-05-18 with total page 759 pages. Available in PDF, EPUB and Kindle. Book excerpt: The long-awaited new edition of a groundbreaking work on the impact of alternative concepts of space on modern art. In this groundbreaking study, first published in 1983 and unavailable for over a decade, Linda Dalrymple Henderson demonstrates that two concepts of space beyond immediate perception—the curved spaces of non-Euclidean geometry and, most important, a higher, fourth dimension of space—were central to the development of modern art. The possibility of a spatial fourth dimension suggested that our world might be merely a shadow or section of a higher dimensional existence. That iconoclastic idea encouraged radical innovation by a variety of early twentieth-century artists, ranging from French Cubists, Italian Futurists, and Marcel Duchamp, to Max Weber, Kazimir Malevich, and the artists of De Stijl and Surrealism. In an extensive new Reintroduction, Henderson surveys the impact of interest in higher dimensions of space in art and culture from the 1950s to 2000. Although largely eclipsed by relativity theory beginning in the 1920s, the spatial fourth dimension experienced a resurgence during the later 1950s and 1960s. In a remarkable turn of events, it has returned as an important theme in contemporary culture in the wake of the emergence in the 1980s of both string theory in physics (with its ten- or eleven-dimensional universes) and computer graphics. Henderson demonstrates the importance of this new conception of space for figures ranging from Buckminster Fuller, Robert Smithson, and the Park Place Gallery group in the 1960s to Tony Robbin and digital architect Marcos Novak.
Book Synopsis The Book of Wonders by : Benjamin Wardhaugh
Download or read book The Book of Wonders written by Benjamin Wardhaugh and published by William Collins. This book was released on 2020-08-20 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: Euclid's Elements of Geometry was a book that changed the world. In a sweeping history, Benjamin Wardhaugh traces how an ancient Greek text on mathematics - often hailed as the world's first textbook - shaped two thousand years of art, philosophy and literature, as well as science and maths. Thirteen volumes of mathematical definitions, propositions and proofs. Writing in 300 BC, Euclid could not have known his logic would go unsurpassed until the nineteenth century, or that his writings were laying down the very foundations of human knowledge. Wardhaugh blasts the dust from Euclid's legacy to offer not only a vibrant history of mathematics, told through people and invention, but also a broader story of culture. Telling stories from every continent, ranging between Ptolemy and Isaac Newton, Hobbes and Lewis Carrol, this is a history that dives from Ancient Greece to medieval Byzantium, early modern China, Renaissance Italy, the age of European empires, and our world today. How has geometry sat at the beating heart of sculpture, literature, music and thought? How can one unknowable figure of antiquity live through two millennia?
Book Synopsis The text of Euclid's geometry, book 1, uniformly and systematically arranged by J.D. Paul by : Euclides
Download or read book The text of Euclid's geometry, book 1, uniformly and systematically arranged by J.D. Paul written by Euclides and published by . This book was released on 1884 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Cleveland written by William Ganson Rose and published by Kent State University Press. This book was released on 1990 with total page 1380 pages. Available in PDF, EPUB and Kindle. Book excerpt: Traces the history of the Ohio city from its days as a frontier settlement, through the coming of industrialization, to 1950.
Download or read book Harper's Family Library written by and published by . This book was released on 1833 with total page 398 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Harper's New Monthly Magazine written by and published by . This book was released on 1886 with total page 1016 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Cleveland Directory Co.'s Cleveland (Cuyahoga County, Ohio) City Directory by :
Download or read book The Cleveland Directory Co.'s Cleveland (Cuyahoga County, Ohio) City Directory written by and published by . This book was released on 1874 with total page 812 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Harper's Monthly Magazine written by and published by . This book was released on 1902 with total page 1068 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Harper's Encyclopaedia of United States History from 458 A.D. to 1912 by : Benson John Lossing
Download or read book Harper's Encyclopaedia of United States History from 458 A.D. to 1912 written by Benson John Lossing and published by . This book was released on 1915 with total page 576 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Mathematics Teacher written by and published by . This book was released on 1915 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The English Catalogue of Books by : Sampson Low
Download or read book The English Catalogue of Books written by Sampson Low and published by . This book was released on 1898 with total page 1194 pages. Available in PDF, EPUB and Kindle. Book excerpt: Volumes for 1898-1968 include a directory of publishers.
Book Synopsis Famous Firsts in the Ancient Greek and Roman World by : David Matz
Download or read book Famous Firsts in the Ancient Greek and Roman World written by David Matz and published by McFarland. This book was released on 2000 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lists discoveries and "firsts" from the worlds of ancient Greece and Rome, from Aeneas's first wife to the first Roman to cultivate oysters, arranged in categories such as politics and law, mythology, literature, and military affairs.
Book Synopsis Directory by : Detroit federation of woman's clubs
Download or read book Directory written by Detroit federation of woman's clubs and published by . This book was released on 1910 with total page 98 pages. Available in PDF, EPUB and Kindle. Book excerpt: