Euclid Vindicated From Every Blemish

Author : Gerolamo Saccheri
Publisher : Springer
ISBN 13 : 3319059661
Total Pages : 384 pages
Book Rating : 4.62/5 ( download)

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Download or read book Euclid Vindicated from Every Blemish written by Gerolamo Saccheri and published by Springer. This book was released on 2014-08-07 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: This first complete English language edition of Euclides vindicatus presents a corrected and revised edition of the classical English translation of Saccheri's text by G.B. Halsted. It is complemented with a historical introduction on the geometrical environment of the time and a detailed commentary that helps to understand the aims and subtleties of the work. Euclides vindicatus, written by the Jesuit mathematician Gerolamo Saccheri, was published in Milan in 1733. In it, Saccheri attempted to reform elementary geometry in two important directions: a demonstration of the famous Parallel Postulate and the theory of proportions. Both topics were of pivotal importance in the mathematics of the time. In particular, the Parallel Postulate had escaped demonstration since the first attempts at it in the Classical Age, and several books on the topic were published in the Early Modern Age. At the same time, the theory of proportion was the most important mathematical tool of the Galilean School in its pursuit of the mathematization of nature. Saccheri's attempt to prove the Parallel Postulate is today considered the most important breakthrough in geometry in the 18th century, as he was able to develop for hundreds of pages and dozens of theorems a system in geometry that denied the truth of the postulate (in the attempt to find a contradiction). This can be regarded as the first system of non-Euclidean geometry. Its later developments by Lambert, Bolyai, Lobachevsky and Gauss eventually opened the way to contemporary geometry. Occupying a unique position in the literature of mathematical history, Euclid Vindicated from Every Blemish will be of high interest to historians of mathematics as well as historians of philosophy interested in the development of non-Euclidean geometries.

Author : Gerolamo Saccheri (1667-1733)
Publisher :
ISBN 13 : 9783319059679
Total Pages : 392 pages
Book Rating : 4.7X/5 ( download)

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Download or read book Euclid Vindicated from Every Blemish written by Gerolamo Saccheri (1667-1733) and published by . This book was released on 2014-08-15 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Girolamo Saccheri
Publisher : American Mathematical Soc.
ISBN 13 : 9780828402897
Total Pages : 288 pages
Book Rating : 4.92/5 ( download)

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Download or read book Euclides Vindicatus written by Girolamo Saccheri and published by American Mathematical Soc.. This book was released on 1986 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents the axiom systems of non-Euclidean geometry. This book states and proves theorem after theorem of (hyperbolic) non-Euclidean geometry.

Author : Ahti-Veikko Pietarinen
Publisher : Springer Nature
ISBN 13 : 3030542491
Total Pages : 557 pages
Book Rating : 4.98/5 ( download)

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Download or read book Diagrammatic Representation and Inference written by Ahti-Veikko Pietarinen and published by Springer Nature. This book was released on 2020-08-17 with total page 557 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 11th International Conference on the Theory and Application of Diagrams, Diagrams 2020, held in Tallinn, Estonia, in August 2020.* The 20 full papers and 16 short papers presented together with 18 posters were carefully reviewed and selected from 82 submissions. The papers are organized in the following topical sections: diagrams in mathematics; diagram design, principles, and classification; reasoning with diagrams; Euler and Venn diagrams; empirical studies and cognition; logic and diagrams; and posters. *The conference was held virtually due to the COVID-19 pandemic. The chapters ‘Modality and Uncertainty in Data Visualization: A Corpus Approach to the Use of Connecting Lines,’ ‘On Effects of Changing Multi-Attribute Table Design on Decision Making: An Eye Tracking Study,’ ‘Truth Graph: A Novel Method for Minimizing Boolean Algebra Expressions by Using Graphs,’ ‘The DNA Framework of Visualization’ and ‘Visualizing Curricula’ are available open access under a Creative Commons Attribution 4.0 International License via link.springer.com.

Author : Thomas Reid
Publisher : Edinburgh University Press
ISBN 13 : 0748643397
Total Pages : 512 pages
Book Rating : 4.94/5 ( download)

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Download or read book Thomas Reid on Mathematics and Natural Philosophy written by Thomas Reid and published by Edinburgh University Press. This book was released on 2017-07-28 with total page 512 pages. Available in PDF, EPUB and Kindle. Book excerpt: Reconstructs Reid's career as a mathematician and natural philosopher for the first time

Author : Ann C. Colley
Publisher : Cambridge University Press
ISBN 13 : 1009271725
Total Pages : 215 pages
Book Rating : 4.21/5 ( download)

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Download or read book Coleridge and the Geometric Idiom written by Ann C. Colley and published by Cambridge University Press. This book was released on 2023-03-16 with total page 215 pages. Available in PDF, EPUB and Kindle. Book excerpt: When Coleridge described the landscapes he passed through while scrambling among the fells, mountains, and valleys of Britain, he did something unprecedented in Romantic writing: to capture what emerged before his eyes, he enlisted a geometric idiom. Immersed in a culture still beholden to Euclid's Elements and schooled by those who subscribed to its principles, he valued geometry both for its pragmatic function and for its role as a conduit to abstract thought. Indeed, his geometric training would often structure his observations on religion, aesthetics, politics, and philosophy. For Coleridge, however, this perspective never competed with his sensitivity to the organic nature of his surroundings but, rather, intermingled with it. Situating Coleridge's remarkable ways of seeing within the history and teaching of mathematics and alongside the eighteenth century's budding interest in non-Euclidean geometry, Ann Colley illuminates the richness of the culture of walking and the surprising potential of landscape writing.

Author : Roshdi Rashed
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110571420
Total Pages : 888 pages
Book Rating : 4.24/5 ( download)

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Download or read book Menelaus' ›Spherics‹ written by Roshdi Rashed and published by Walter de Gruyter GmbH & Co KG. This book was released on 2017-10-23 with total page 888 pages. Available in PDF, EPUB and Kindle. Book excerpt: Despite its importance in the history of Ancient science, Menelaus’ Spherics is still by and large unknown. This treatise, which lies at the foundation of spherical geometry, is lost in Greek but has been preserved in its Arabic versions. The reader will find here, for the first time edited and translated into English, the essentials of this tradition, namely: a fragment of an early Arabic translation and the first Arabic redaction of the Spherics composed by al-Māhānī /al-Harawī, together with a historical and mathematical study of Menelaus’ treatise. With this book, a new and important part of the Greek and Arabic legacy to the history of mathematics comes to light. This book will be an indispensable acquisition for any reader interested in the history of Ancient geometry and science and, more generally, in Greek and Arabic science and culture.

Author : Eduardo Dorrego López
Publisher : Springer Nature
ISBN 13 : 3031522230
Total Pages : 176 pages
Book Rating : 4.39/5 ( download)

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Download or read book Irrationality, Transcendence and the Circle-Squaring Problem written by Eduardo Dorrego López and published by Springer Nature. This book was released on with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Philip Beeley
Publisher : Routledge
ISBN 13 : 1000207471
Total Pages : 370 pages
Book Rating : 4.77/5 ( download)

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Download or read book Reading Mathematics in Early Modern Europe written by Philip Beeley and published by Routledge. This book was released on 2020-10-20 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: Libraries and archives contain many thousands of early modern mathematical books, of which almost equally many bear readers’ marks, ranging from deliberate annotations and accidental blots to corrections and underlinings. Such evidence provides us with the material and intellectual tools for exploring the nature of mathematical reading and the ways in which mathematics was disseminated and assimilated across different social milieus in the early centuries of print culture. Other evidence is important, too, as the case studies collected in the volume document. Scholarly correspondence can help us understand the motives and difficulties in producing new printed texts, library catalogues can illuminate collection practices, while manuscripts can teach us more about textual traditions. By defining and illuminating the distinctive world of early modern mathematical reading, the volume seeks to close the gap between the history of mathematics as a history of texts and history of mathematics as part of the broader history of human culture.

Author : Bernhard Riemann
Publisher : Birkhäuser
ISBN 13 : 3319260421
Total Pages : 172 pages
Book Rating : 4.26/5 ( download)

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Download or read book On the Hypotheses Which Lie at the Bases of Geometry written by Bernhard Riemann and published by Birkhäuser. This book was released on 2016-04-19 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents William Clifford’s English translation of Bernhard Riemann’s classic text together with detailed mathematical, historical and philosophical commentary. The basic concepts and ideas, as well as their mathematical background, are provided, putting Riemann’s reasoning into the more general and systematic perspective achieved by later mathematicians and physicists (including Helmholtz, Ricci, Weyl, and Einstein) on the basis of his seminal ideas. Following a historical introduction that positions Riemann’s work in the context of his times, the history of the concept of space in philosophy, physics and mathematics is systematically presented. A subsequent chapter on the reception and influence of the text accompanies the reader from Riemann’s times to contemporary research. Not only mathematicians and historians of the mathematical sciences, but also readers from other disciplines or those with an interest in physics or philosophy will find this work both appealing and insightful.