The arts of ornamental geometry : a Persian compendium on similar and complementary interlocking figures, Fī tadākhul al-ashkāl al-mutashābiha aw al-mutāwafiqa (Bibliothèque Nation...
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This collective study focuses on a unique anonymous medieval document on ornamental geometry featuring geometrical constructions and textual instructions in Persian. Selections from the unpublished work of Alpay Özdural (d. 2003) on this subject have been updated with original contributions by Jan P. Hogendijk, Elaheh Kheirandish, Gülru Necipoğlu, and Wheeler M. Thackston. The chapters interpreting this fascinating document are followed, for the first time, by a facsimile, transcription, and translation, as well as drawings of incised construction lines invisible in the photographed facsimile. This publication intersects with the current interest in Islamic geometrical patterning as an inspiration for tessellation and parametrically derived forms in contemporary architecture and the arts. It aims to make this celebrated source more accessible, given its multifaceted relevance to historians of art, architecture, and science, as well as mathematicians, physicists, artists, and architects. For those who wish to obtain a copy of the full, unedited original book manuscript of Alpay Özdural, where he discusses the mathematical properties of all geometrical constructions in the Anonymous Compendium as well as the step-by-step method for drawing each one, his work is available online at https://doi.org/10.6084/m9.figshare.5255416
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1 online resource. :
Includes bibliographical references and index. :
9789004315204 :
Available to subscribing member institutions only.
Ibrāhīm Ibn Sinān. Logique et Géométrie au Xe siècle /
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Ibrāhīm Ibn Sinān was one of the most famous scientists of the tenth century. His specialities were geometry, logic and philosophy of mathematics. In this volume, three new hypotheses are presented. The first one concerns the existence and the development of philosophy of mathematics in Arabic, independently of traditional metaphysics and philosophy. It is mainly concerned with the logic of discovery and the logic of proof. The second hypothesis concerns the development of a new chapter in mathematics devoted to geometrical transformations. The close connection between astronomy and mathematics, used to develop this last chapter, is discussed in the third hypothesis. The book presents a critical edition done for the first time and based on all available manuscripts, French translations, and long historical and mathematical commentaries.
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1 online resource. :
Includes bibliographical references and index. :
9789004453135
9789004118041
Aristotle's [meteorologica] : meteorology then and now /
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Examining the meteorological aspects of Aristotle's work published as "Meteorologica" books A-D, the authors also ask how they compare now with our understanding of meteorology and climate change. In other words, how well did Aristotle fair when he tried to explain weather 2,300 years ago when there was only logic, eye observation, and past experience, with only primitive instrumentation and a few personalized measurements? While there are scientific issues behind Aristotle's writings, this book is written for the non-specialist. The book uses simple examples to present its case, which will be easily followed by general readers.
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"Available both in print and Open Access"--Home page.
Also issued in print: 2020.
The title of Aristotle's work is provided in Greek script on the title page and cover image. :
1 online resource (iv, 117 pages) : illustrations (black and white, and colour) :
Specialized. :
9781789696387 (PDF ebook) : :
Open access.
Apollonius of Perga's Conica : text, context, subtext /
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This volume takes a new look at one of the greatest works of Hellenistic mathematics, Apollonius of Perga's Conica . It provides a long overdue alternative to H.G. Zeuthen's Die Lehre von den Kegelschnitten im Altertum . The central part of the volume contains a historically sensitive analysis and interpretation of the entire Conica , both from the standpoint of its individual books and of the text as a whole. Particular attention is given to Books V-VII, which have had scant treatment until now. Two chapters in the volume concern histioriographic issues connected with the Conica in paricular and Greek mathematics in general. Although the volume is intended primarily for historians of ancient mathematics, its approach is fresh and engaging enough to be of interest also to historians, philosophers, linguists, and open-minded mathematicians.
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1 online resource (xii, 499 pages) : illustrations. :
Includes bibliographical references and index. :
9789004350991 :
0169-8958 ; :
Available to subscribing member institutions only.
The commentary of al-Nayrizi on Books II-IV of Euclid's Elements of Geometry : with a translation of that portion of Book I missing from ms Leiden or. 399.1 but present in the new...
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The Commentary of al-Nayrizi (circa 920) on Euclid's Elements of Geometry occupies an important place both in the history of mathematics and of philosophy, particularly Islamic philosophy. It is a compilation of original work by al-Nayrizi and of translations and commentaries made by others, such as Heron. It is the most influential Arabic mathematical manuscript in existence and a principle vehicle whereby mathematics was reborn in the Latin West. Furthermore, the Commentary on Euclid by the Platonic philosopher Simplicius, entirely reproduced by al-Nayrizi, and nowhere else extant, is essential to the study of the attempt to prove Euclid's Fifth Postulate from the preceding four. Al-Nayrizi was one of the two main sources from which Albertus Magnus (1193-1280), the Doctor Universalis, learned mathematics. This work presents an annotated English translation of Books II-IV and of a hitherto lost portion of Book I.
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1 online resource. :
Includes bibliographical references (p. [209]-212) and index. :
9789047444411 :
Available to subscribing member institutions only.
Aristotle's ever-turning world, in Physics 8 : analysis and commentary /
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In Aristotle's Ever-turning World in Physics 8 Dougal Blyth analyses, passage by passage, Aristotle's reasoning in his explanation of cosmic movement, and provides a detailed evaluation of ancient and modern commentary on this centrally influential text in the history of ancient and medieval philosophy and science. In Physics 8 Aristotle argues for the everlastingness of the world, and explains this as deriving from a single first moved body, the sphere of the stars whose rotation around the earth is caused by an immaterial prime mover. Blyth's explanation of Aristotle's individual arguments, techniques of reasoning and overall strategy in Physics 8 aims to bring understanding of his method, doctrines and achievements in natural philosophy to a new level of clarity.
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1 online resource. :
Includes bibliographical references and index. :
9789004302389 :
0079-1687 ; :
Available to subscribing member institutions only.
On sweat : On dizziness ; and, On fatigue /
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This volume contains modern editions of three physiological treatises by Theophrastus of Eresus, who was Artistotle's pupil and successor as head of the Peripatetic School. The treatises are concerned with human phenomena of sweat, dizziness and fatigue, and exhibit close ties to the contemporary medical literature. The Greek text of each treatise is based on a new reading of the principal manuscripts. The text is accompanied by an apparatus of parallel text and variant readings. The excerpts of Photius, patriarch of Constantinople, are printed below the Theophrastean text in order to facilitate comparison. An English translation appears opposite the Greek text. There are brief notes to the translation, and a fuller commentary follows. Indices of important words and topics and a selective bibliography complete each edition.
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1 online resource (324 pages) ;c25 cm.) :
Includes bibliographical references and indexes. :
9789004321168 :
Available to subscribing member institutions only.
Simplicius on the planets and their motions : in defense of a heresy /
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Though the digression closing Simplicius' commentary on Aristotle's De caelo 2.12 has long been misread as a history of early Greek planetary theory, it is in fact a creative reading of Aristotle to maintain the authority of the De caelo as a sacred text in Late Platonism and to refute the polemic mounted by the Christian, John Philoponus. This book shows that the critical question forced on Simplicius was whether his school's acceptance of Ptolemy's planetary hypotheses entailed a rejection of Aristotle's argument that the heavens are made of a special matter that moves by nature in a circle about the center of the cosmos and, thus, a repudiation of the thesis that the cosmos is uncreated and everlasting.
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Includes an English translation of sections 2.10 to 2.12 of Simplicius' Aristotelis De caelo commentaria--Pages [97]-177. :
1 online resource (xviii, 329 pages) : illustrations. :
Includes bibliographical references (p. [299]-311) and indexes. :
9789004241718 :
Available to subscribing member institutions only.