Download or read book The Geometrical Work of Girard Desargues written by Judith V. Field and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 245 pages. Available in PDF, EPUB and Kindle. Book excerpt: Our main purpose in this book is to present an English translation of Desargues' Rough Draft of an Essay on the results of taking plane sections of a cone (1639), the pamphlet with which the modem study of projective geometry began. Despite its acknowledged importance in the history of mathematics, the work has never been translated before in its entirety, although short extracts have appeared in several source books. The problems of making Desargues' work accessible to modem mathematicians and historians of mathematics have led us to provide a fairly elaborate introduction, and to include translations of other relevant works. The translation ofthe Rough Draft on Conics (as we shall call it) thus appears in Chapter VI, the five preceding chapters forming an introduction and the three following ones giving translations of other works by Desargues. Chapter I briefly reviews parts of ancient geometrical works available to Desargues which seem to be relevant to his own work, namely theorems in Euclid's Elements, the first four books of Apollonius' Conics and some remarks by Pappus in his Collection. These Hellenistic works belong to the 'high' mathematical tradition whose development has been the main theme of all histories of mathematics. It is from these works that Desargues took the theorems whose theory he was to reformulate in the Rough Draft on Conics.
Download or read book The Geometrical Work of Girard Desargues written by Judith V Field and published by . This book was released on 1986-12-22 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Measure of a Different Greatness written by Anne Davenport and published by BRILL. This book was released on 2021-10-11 with total page 458 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume examines a selection of late medieval works devoted to the intensive infinite in order to draw a comprehensive picture of the context, character and importance of scholastic efforts to reason philosophically about divine infinity. As Dominican masters face Franciscan 'spirituals' and as university-trained theologians face evangelical laymen, the purpose and meaning of divine infinity shift, reflecting a basic tension between the Church's Petrine vocation for geopolitical orthodoxy and its more Pauline mission to promote Christian orthopraxis. The first part of the book traces the scholastic defense of divine infinity from the holocaust of Montségur up to John Duns Scotus. The second part examines the semiotic breakthrough initiated by William of Ockham and the subsequent penetration of infinist theory into a wide variety of disciplines.
Download or read book Re Reading Leonardo written by Claire Farago and published by Routledge. This book was released on 2017-07-05 with total page 648 pages. Available in PDF, EPUB and Kindle. Book excerpt: For nearly three centuries Leonardo da Vinci's work was known primarily through the abridged version of his Treatise on Painting, first published in Paris in 1651 and soon translated into all the major European languages. Here for the first time is a study that examines the historical reception of this vastly influential text. This collection charts the varied interpretations of Leonardo's ideas in French, Italian, Spanish, English, German, Dutch, Flemish, Greek, and Polish speaking environments where the Trattato was an important resource for the academic instruction of artists, one of the key sources drawn upon by art theorists, and widely read by a diverse network of artists, architects, biographers, natural philosophers, translators, astronomers, publishers, engineers, theologians, aristocrats, lawyers, politicians, entrepreneurs, and collectors. The cross-cultural approach employed here demonstrates that Leonardo's Treatise on Painting is an ideal case study through which to chart the institutionalization of art in Europe and beyond for 400 years. The volume includes original essays by scholars studying a wide variety of national and institutional settings. The coherence of the volume is established by the shared subject matter and interpretative aim: to understand how Leonardo's ideas were used. With its focus on the active reception of an important text overlooked in studies of the artist's solitary genius, the collection takes Leonardo studies to a new level of historical inquiry. Leonardo da Vinci's most significant contribution to Western art was his interpretation of painting as a science grounded in geometry and direct observation of nature. One of the most important questions to emerge from this study is, what enabled the same text to produce so many different styles of painting?
Download or read book Geometry and Monadology written by Vincenzo de Risi and published by Springer Science & Business Media. This book was released on 2007-08-08 with total page 658 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book reconstructs, from both historical and theoretical points of view, Leibniz’s geometrical studies, focusing in particular on the research Leibniz carried out in his final years. The work’s main purpose is to offer a better understanding of the philosophy of space and in general of the mature Leibnizean metaphysics. This is the first ever, comprehensive historical reconstruction of Leibniz’s geometry.
Download or read book Projecting Spirits written by Pasi Väliaho and published by Stanford University Press. This book was released on 2022-06-28 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt: The history of projected images at the turn of the seventeenth century reveals a changing perception of chance and order, contingency and form. In Projecting Spirits, Pasi Väliaho maps how the leading optical media of the period—the camera obscura and the magic lantern—developed in response to, and framed, the era's key intellectual dilemma of whether the world fell under God's providential care, or was subject to chance and open to speculating. As Väliaho shows, camera obscuras and magic lanterns were variously employed to give the world an intelligible and manageable design. Jesuit scholars embraced devices of projection as part of their pursuit of divine government, whilst the Royal Society fellows enlisted them in their quest for empirical knowledge as well as colonial expansion. Projections of light and shadow grew into critical metaphors in early responses to the turbulences of finance. In such instances, Väliaho argues, "projection" became an indispensable cognitive form to both assert providence, and to make sense of an economic reality that was gradually escaping from divine guidance. Drawing on a range of materials—philosophical, scientific and religious literature, visual arts, correspondence, poems, pamphlets, and illustrations—this provocative and inventive work expands our concept of the early media of projection, revealing how they spoke to early modern thinkers, and shaped a new, speculative concept of the world.
Download or read book Visioning Technologies written by Graham Cairns and published by Taylor & Francis. This book was released on 2016-12-08 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: Visioning Technologies brings together a collection of texts from leading theorists to examine how architecture has been, and is, reframed and restructured by the visual and theoretical frameworks introduced by different ‘technologies of sight’ – understood to include orthographic projection, perspective drawing, telescopic devices, photography, film and computer visualization, amongst others. Each chapter deals with its own area and historical period of expertise, organized sequentially to mark out and analyse the historical evolution of how architecture has been transformed by technologically induced shifts in human perception from the 15th century until today. This book underlines the way in which architectural forms and design processes have developed historically in conjunction with the systems of sight we manufacture technologically and suggests this continues today. Paradoxically, it is premised on the argument that these technological systems tend, in their initial formulations, to obtain ever greater realism in our visualizations of the physical world.
Download or read book Research in History and Philosophy of Mathematics written by Maria Zack and published by Springer Nature. This book was released on 2020-01-02 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains ten papers that have been collected by the Canadian Society for History and Philosophy of Mathematics/Société canadienne d’histoire et de philosophie des mathématiques. It showcases rigorously-reviewed contemporary scholarship on an interesting variety of topics in the history and philosophy of mathematics from the seventeenth century to the modern era. The volume begins with an exposition of the life and work of Professor Bolesław Sobociński. It then moves on to cover a collection of topics about twentieth-century philosophy of mathematics, including Fred Sommers’s creation of Traditional Formal Logic and Alexander Grothendieck’s work as a starting point for discussing analogies between commutative algebra and algebraic geometry. Continuing the focus on the philosophy of mathematics, the next selections discuss the mathematization of biology and address the study of numerical cognition. The volume then moves to discussing various aspects of mathematics education, including Charles Davies’s early book on the teaching of mathematics and the use of Gaussian Lemniscates in the classroom. A collection of papers on the history of mathematics in the nineteenth century closes out the volume, presenting a discussion of Gauss’s “Allgemeine Theorie des Erdmagnetismus” and a comparison of the geometric works of Desargues and La Hire. Written by leading scholars in the field, these papers are accessible not only to mathematicians and students of the history and philosophy of mathematics, but also to anyone with a general interest in mathematics.
Download or read book Brook Taylor s Work on Linear Perspective written by Kirsti Andersen and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book A to Z of Mathematicians written by Tucker McElroy and published by Infobase Publishing. This book was released on 2014-05-14 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: Profiles more than 150 mathematicians from around the world who made important contributions to their field, including Rene Descartes, Emily Noether and Bernhard Riemann.
Download or read book Fran ois Blondel written by Anthony Gerbino and published by Routledge. This book was released on 2012-12-06 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: First director of the Académie royale d’architecture, François Blondel established a lasting model for architectural education that helped transform a still largely medieval profession into the one we recognize today. Most well known for his 1676 urban plan of Paris, Blondel is also celebrated as a mathematician, scientist, and scholar. Few figures are more representative of the close affinity between architecture and the "new science" of the seventeenth century. The first full-length study in English to appear on this polymath, this book adds to the scholarship on early modern architectural history and particularly on French classicism under Louis XIV and his minister Jean-Baptiste Colbert. It studies early modern science and technology, Baroque court culture, and the development of the discipline of architecture.
Download or read book Perspective and Projective Geometry written by Annalisa Crannell and published by Princeton University Press. This book was released on 2019-12-10 with total page 291 pages. Available in PDF, EPUB and Kindle. Book excerpt: Through a unique approach combining art and mathematics, Perspective and Projective Geometry introduces students to the ways that projective geometry applies to perspective art. Geometry, like mathematics as a whole, offers a useful and meaningful lens for understanding the visual world. Exploring pencil-and-paper drawings, photographs, Renaissance paintings, and GeoGebra constructions, this textbook equips students with the geometric tools for projecting a three-dimensional scene onto two dimensions. Organized as a series of exercise modules, this book teaches students through hands-on inquiry and participation. Each lesson begins with a visual puzzle that can be investigated through geometry, followed by exercises that reinforce new concepts and hone students’ analytical abilities. An electronic instructor’s manual available to teachers contains sample syllabi and advice, including suggestions for pacing and grading rubrics for art projects. Drawing vital interdisciplinary connections between art and mathematics, Perspective and Projective Geometry is ideally suited for undergraduate students interested in mathematics or computer graphics, as well as for mathematically inclined students of architecture or art. · Features computer-based GeoGebra modules and hands-on exercises · Contains ample visual examples, math and art puzzles, and proofs with real-world applications · Suitable for college students majoring in mathematics, computer science, and art · Electronic instructor’s manual (available only to teachers)
Download or read book The Projective Cast written by Robin Evans and published by MIT Press. This book was released on 2000-08-25 with total page 460 pages. Available in PDF, EPUB and Kindle. Book excerpt: Robin Evans recasts the idea of the relationship between geometry and architecture, drawing on mathematics, engineering, art history, and aesthetics to uncover processes in the imagining and realizing of architectural form. Anyone reviewing the history of architectural theory, Robin Evans observes, would have to conclude that architects do not produce geometry, but rather consume it. In this long-awaited book, completed shortly before its author's death, Evans recasts the idea of the relationship between geometry and architecture, drawing on mathematics, engineering, art history, and aesthetics to uncover processes in the imagining and realizing of architectural form. He shows that geometry does not always play a stolid and dormant role but, in fact, may be an active agent in the links between thinking and imagination, imagination and drawing, drawing and building. He suggests a theory of architecture that is based on the many transactions between architecture and geometry as evidenced in individual buildings, largely in Europe, from the fifteenth to the twentieth century. From the Henry VII chapel at Westminster Abbey to Le Corbusier's Ronchamp, from Raphael's S. Eligio and the work of Piero della Francesca and Philibert Delorme to Guarino Guarini and the painters of cubism, Evans explores the geometries involved, asking whether they are in fact the stable underpinnings of the creative, intuitive, or rhetorical aspects of architecture. In particular he concentrates on the history of architectural projection, the geometry of vision that has become an internalized and pervasive pictorial method of construction and that, until now, has played only a small part in the development of architectural theory. Evans describes the ambivalent role that pictures play in architecture and urges resistance to the idea that pictures provide all that architects need, suggesting that there is much more within the scope of the architect's vision of a project than what can be drawn. He defines the different fields of projective transmission that concern architecture, and investigates the ambiguities of projection and the interaction of imagination with projection and its metaphors.
Download or read book The Geometry of an Art written by Kirsti Andersen and published by Springer Science & Business Media. This book was released on 2008-11-23 with total page 837 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book The Invention of Infinity written by Judith Veronica Field and published by Oxford University Press, USA. This book was released on 1997 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fully illustrated, this story brings together the histories of arts and mathematics and shows how infinity at last acquired a precise mathematical meaning.
Download or read book Mathematics Substance and Surmise written by Ernest Davis and published by Springer. This book was released on 2015-11-17 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt: The seventeen thought-provoking and engaging essays in this collection present readers with a wide range of diverse perspectives on the ontology of mathematics. The essays address such questions as: What kind of things are mathematical objects? What kinds of assertions do mathematical statements make? How do people think and speak about mathematics? How does society use mathematics? How have our answers to these questions changed over the last two millennia, and how might they change again in the future? The authors include mathematicians, philosophers, computer scientists, cognitive psychologists, sociologists, educators and mathematical historians; each brings their own expertise and insights to the discussion. Contributors to this volume: Jeremy Avigad Jody Azzouni David H. Bailey David Berlinski Jonathan M. Borwein Ernest Davis Philip J. Davis Donald Gillies Jeremy Gray Jesper Lützen Ursula Martin Kay O’Halloran Alison Pease Steven Piantadosi Lance Rips Micah T. Ross Nathalie Sinclair John Stillwell Hellen Verran
Download or read book Print Culture in Early Modern France written by Carl Goldstein and published by Cambridge University Press. This book was released on 2012-02-13 with total page 239 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, Carl Goldstein examines the print culture of seventeenth-century France through a study of the career of Abraham Bosse, a well-known printmaker, book illustrator, and author of books and pamphlets on a variety of technical subjects. The consummate print professional, Bosse persistently explored the endless possibilities of print – single-sheet prints combining text and image, book illustration, broadsides, placards, almanacs, theses, and pamphlets. Bosse had a profound understanding of print technology as a fundamental agent of change. Unlike previous studies, which have largely focused on the printed word, this book demonstrates the extent to which the contributions of an individual printmaker and the visual image are fundamental to understanding the nature and development of early modern print culture.
