Download or read book Gerard of Cremona s Translation of the Commentary of al Nayrizi on Book I of Euclid s Elements of Geometry written by Anthony Lo Bello and published by BRILL. This book was released on 2021-08-04 with total page 203 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an annotated English translation of Gerard of Cremona’s Latin version of Book I of al-Nayrizi's Commentary on Euclid’s Elements. Lo Bello concludes with a critical analysis of the idiosyncrasies of Gerard’s method of translation.
Download or read book The Commentary of Al Nayrizi on Books II IV of Euclid s Elements of Geometry written by Anaritius and published by BRILL. This book was released on 2009 with total page 249 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book The Commentary of al Nayrizi on Book I of Euclid s Elements of Geometry written by Anthony Lo Bello and published by BRILL. This book was released on 2021-10-25 with total page 281 pages. Available in PDF, EPUB and Kindle. Book excerpt: For more than two millennia, the Elements of Geometry by the Greek mathematician Euclid of Alexandria (ca. 300 B.C.E. ) was held to be “the supreme example of the exercise of human reason” and “a paradigm of rational certainty” (from the preface, after Simon Blackburn). The Commentary of al-Nayrizi on Book I of Euclid’s Elements of Geometry introduces readers to the transmission of Euclid’s Elements from the Middle East to the Latin West in the medieval period and then offers the first English translation of al-Nayrizi’s (d. ca. 922) Arabic commentary on Book I. The Three Volumes are also available as set (ISBN 0 391 04197 5)
Download or read book The Commentary of Albertus Magnus on Book I of Euclid s Elements of Geometry written by Anthony Lo Bello and published by BRILL. This book was released on 2021-10-01 with total page 351 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an annotated English translation of the Commentary of Albertus Magnus on Book I of Euclid's Elements of Geometry. It includes a translation and a critical examination of the mathematical content of the commentary and of its sources.
Download or read book Leibniz on the Parallel Postulate and the Foundations of Geometry written by Vincenzo De Risi and published by Birkhäuser. This book was released on 2016-01-28 with total page 199 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a general introduction to the geometrical studies of Gottfried Wilhelm Leibniz (1646-1716) and his mathematical epistemology. In particular, it focuses on his theory of parallel lines and his attempts to prove the famous Parallel Postulate. Furthermore it explains the role that Leibniz’s work played in the development of non-Euclidean geometry. The first part is an overview of his epistemology of geometry and a few of his geometrical findings, which puts them in the context of the seventeenth-century studies on the foundations of geometry. It also provides a detailed mathematical and philosophical commentary on his writings on the theory of parallels, and discusses how they were received in the eighteenth century as well as their relevance for the non-Euclidean revolution in mathematics. The second part offers a collection of Leibniz’s essays on the theory of parallels and an English translation of them. While a few of these papers have already been published (in Latin) in the standard Leibniz editions, most of them are transcribed from Leibniz’s manuscripts written in Hannover, and published here for the first time. The book provides new material on the history of non-Euclidean geometry, stressing the previously neglected role of Leibniz in these developments. This volume will be of interest to historians in mathematics, philosophy or logic, as well as mathematicians interested in non-Euclidean geometry.
Download or read book The A to Z of Medieval Philosophy and Theology written by Stephen F. Brown and published by Rowman & Littlefield. This book was released on 2010 with total page 466 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Middle Ages is often viewed as a period of low intellectual achievement. The name itself refers to the time between the high philosophical and literary accomplishments of the Greco-Roman world and the technological advances that were achieved and philosophical and theological alternatives that were formulated in the modern world that followed. However, having produced such great philosophers as Anselm, Peter Abelard, John Duns Scotus, William of Ockham, Peter Lombard, and the towering Thomas Aquinas, it hardly seems fair to label the medieval period as such. Examining the influence of ancient Greek philosophy as well as of the Arabian and Hebrew scholars who transmitted it, The A to Z of Medieval Philosophy and Theology presents the philosophy of the Christian West from the 9th to the early 17th century. This is accomplished through a chronology, an introduction, appendixes, a bibliography, and hundreds of cross-referenced dictionary entries on the philosophers, concepts, issues, institutions, and events, making this an important reference for the study of the progression of human thought.
Download or read book Historical Dictionary of Medieval Philosophy and Theology written by Stephen F. Brown and published by Rowman & Littlefield. This book was released on 2018-08-10 with total page 453 pages. Available in PDF, EPUB and Kindle. Book excerpt: This second edition concentrates on various philosophers and theologians from the medieval Arabian, Jewish, and Christian worlds. It principally centers on authors such as Abumashar, Saadiah Gaon and Alcuin from the eighth century and follows the intellectual developments of the three traditions up to the fifteenth-century Ibn Khaldun, Hasdai Crescas and Marsilio Ficino. The spiritual journeys presuppose earlier human sources, such as the philosophy of Plato, Aristotle, Plotinus, and Porphyry and various Stoic authors, the revealed teachings of the Jewish Law, the Koran and the Christian Bible. The Fathers of the Church, such as St. Augustine and Gregory the Great, provided examples of theology in their attempts to reconcile revealed truth and man’s philosophical knowledge and deserve attention as pre-medieval contributors to medieval intellectual life. Avicenna and Averroes, Maimonides and Gersonides, St. Thomas Aquinas and St. Bonaventure, stand out in the three traditions as special medieval contributors who deserve more attention. This second edition of Historical Dictionary of Medieval Philosophy and Theology contains a chronology, an introduction, appendixes, and an extensive bibliography. The dictionary section has over 300 cross-referenced entries on important persons, events, and concepts that shaped medieval philosophy and theology. This book is an excellent resource for students, researchers, and anyone wanting to know more about medieval philosophy and theology.
Download or read book Scripta Mediterranea written by and published by . This book was released on 1997 with total page 722 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Ptolemy s Almagest written by Ptolemy and published by Princeton University Press. This book was released on 1998-11-08 with total page 712 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ptolemy's Almagest is one of the most influential scientific works in history. A masterpiece of technical exposition, it was the basic textbook of astronomy for more than a thousand years, and still is the main source for our knowledge of ancient astronomy. This translation, based on the standard Greek text of Heiberg, makes the work accessible to English readers in an intelligible and reliable form. It contains numerous corrections derived from medieval Arabic translations and extensive footnotes that take account of the great progress in understanding the work made in this century, due to the discovery of Babylonian records and other researches. It is designed to stand by itself as an interpretation of the original, but it will also be useful as an aid to reading the Greek text.
Download or read book From China to Paris written by Yvonne Dold-Samplonius and published by Franz Steiner Verlag. This book was released on 2002 with total page 486 pages. Available in PDF, EPUB and Kindle. Book excerpt: The reports of a conference of 11 scholars who began the task of examing together primary sources that might shed som elight on exactly how and in what fomrs mathematical problems, concepts, and techniques may have been transmitted between various civilizations, from antiquity down to the European Renaissance following more or less the legendary silk routes between China and Western Europe.
Download or read book Tradition Transmission Transformation written by F. Jamil Ragep and published by BRILL. This book was released on 1996 with total page 634 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this volume of conference papers originally presented at the University of Oklahoma, a distinguished group of scholars examines episodes in the transmission of premodern science and provides new insights into its cultural, philosophical and historical significance.
Download or read book Theory of Parallels written by Nikolaj Ivanovič Lobačevskij and published by Independently Published. This book was released on 2019-05-22 with total page 52 pages. Available in PDF, EPUB and Kindle. Book excerpt: LOBACHEVSKY was the first man ever to publish a non-Euclidean geometry. Of the immortal essay now first appearing in English Gauss said, "The author has treated the matter with a master-hand and in the true geometer's spirit. I think I ought to call your attention to this book, whose perusal cannot fail to give you the most vivid pleasure." Clifford says, "It is quite simple, merely Euclid without the vicious assumption, but the way things come out of one another is quite lovely." * * * "What Vesalius was to Galen, what Copernicus was to Ptolemy, that was Lobachevsky to Euclid." Says Sylvester, "In Quaternions the example has been given of Algebra released from the yoke of the commutative principle of multiplication - an emancipation somewhat akin to Lobachevsky's of Geometry from Euclid's noted empirical axiom." Cayley says, "It is well known that Euclid's twelfth axiom, even in Playfair's form of it, has been considered as needing demonstration; and that Lobachevsky constructed a perfectly consistent theory, where- in this axiom was assumed not to hold good, or say a system of non- Euclidean plane geometry. There is a like system of non-Euclidean solid geometry." GEORGE BRUCE HALSTED. 2407 San Marcos Street, Austin, Texas. * * * *From the TRANSLATOR'S INTRODUCTION. "Prove all things, hold fast that which is good," does not mean demonstrate everything. From nothing assumed, nothing can be proved. "Geometry without axioms," was a book which went through several editions, and still has historical value. But now a volume with such a title would, without opening it, be set down as simply the work of a paradoxer. The set of axioms far the most influential in the intellectual history of the world was put together in Egypt; but really it owed nothing to the Egyptian race, drew nothing from the boasted lore of Egypt's priests. The Papyrus of the Rhind, belonging to the British Museum, but given to the world by the erudition of a German Egyptologist, Eisenlohr, and a German historian of mathematics, Cantor, gives us more knowledge of the state of mathematics in ancient Egypt than all else previously accessible to the modern world. Its whole testimony con- firms with overwhelming force the position that Geometry as a science, strict and self-conscious deductive reasoning, was created by the subtle intellect of the same race whose bloom in art still overawes us in the Venus of Milo, the Apollo Belvidere, the Laocoon. In a geometry occur the most noted set of axioms, the geometry of Euclid, a pure Greek, professor at the University of Alexandria. Not only at its very birth did this typical product of the Greek genius assume sway as ruler in the pure sciences, not only does its first efflorescence carry us through the splendid days of Theon and Hypatia, but unlike the latter, fanatics cannot murder it; that dismal flood, the dark ages, cannot drown it. Like the phoenix of its native Egypt, it rises with the new birth of culture. An Anglo-Saxon, Adelard of Bath, finds it clothed in Arabic vestments in the land of the Alhambra. Then clothed in Latin, it and the new-born printing press confer honor on each other. Finally back again in its original Greek, it is published first in queenly Basel, then in stately Oxford. The latest edition in Greek is from Leipsic's learned presses.
Download or read book A Shared Legacy written by Emilia Calvo and published by Edicions Universitat Barcelona. This book was released on 2008 with total page 363 pages. Available in PDF, EPUB and Kindle. Book excerpt: On the occasion of the 75th +1 anniversary of the publication of Prof. J. M. Millàs Vallicrosa’s seminal work Assaig d’història de les idees físiques i matemàtiques a la Catalunya medieval by the Institut d'Estudis Catalans, the Commission on the History of Science and Technology in Islamic Societies (International Union on History and Philosophy of Science), the Grup Millàs Vallicrosa d’Història de la Ciència Àrab (Universitat de Barcelona) and the Societat Catalana d’Història de la Ciència i de la Tècnica (Institut d’Estudis Catalans) organized a conference entitled “A Shared Legacy: Islamic Science East and West”. At this conference, the Islamic Scientific Manuscripts Initiative, a new joint project for the study of manuscripts, was presented. .Although the papers published in this volume deal with a mixture of subjects and disciplines - astronomical instruments, planetary models, geometry, medicine, miqat, technology and cartography - they all have the transmission of knowledge between the two shores of the Mediterranean as a common underlying thread...Amb motiu del 75è + 1 aniversari de la publicació del llibre Assaig d’història de les idees físiques i matemàtiques a la Catalunya medieval (IEC), la Commission on the History of Science and Technology in Islamic Societies (CHSTIS/IUPHS), el Grup Millàs Vallicrosa d’Història de la Ciència Àrab de la Universitat de Barcelona (UB) i la Societat Catalana d’Història de la Ciència i de la Tècnica (SCHCT) -filial de l’Institut d’Estudis Catalans- organitzaren el congrés A Shared Legacy. Islamic Science East and West (Un llegat compartit: ciència islàmica a orient i occident). .Am motiu d’aquesta trobada s’han recopilat els articles que conté aquest volum tracten de temes variats –instruments astronòmics, models planetaris, geometria, medicina, tecnologia, cartografia, etc.- que tenen com a nexe en comú la transmissió del coneixement entre les dues ribes de la Mediterrània.
Download or read book Simplicius the Neoplatonist in Light of Contemporary Research written by Ilsetraut Hadot and published by Academia Verlag. This book was released on 2020-12-18 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dieses Buch bietet, erstmals in englischer Sprache, eine Zusammenschau der modernen Forschung zu Simplikios' Leben und drei seiner funf Kommentare: Zu Epictetus' Encheiridion, zu Aristoteles' De anima und zu Aristoteles' Kategorien. Der biografische Teil bringt die historische Rolle dieses neoplatonischen Philosophen ans Licht. Geboren in Kilikien, Kleinasien, studierte er in Alexandria und Athen und beendete offenbar sein Leben in Syrien an der Grenze zwischen dem byzantinischen und sassanidischen Reich. Er war ein Vermittler zwischen der griechisch-romischen und der syrischen Philosophie, die die arabische Philosophie zu Beginn nahren sollte. Der zweite Teil des Buches, der sich mit Fragen der Lehre und der Autorschaft befasst, widmet sich auch dem zugrunde liegenden padagogischen Curriculum und den Methoden, die neoplatonischen Kommentaren eigen sind, die moderne Interpretation in Studien uber Simplicius und andere Neoplatonisten nur zu gerne ubersehen.
Download or read book The Dialogue of Civilizations in the Birth of Modern Science written by A. Bala and published by Springer. This book was released on 2006-11-13 with total page 237 pages. Available in PDF, EPUB and Kindle. Book excerpt: Arun Bala challenges Eurocentric conceptions of history by showing how Chinese, Indian, Arabic, and ancient Egyptian ideas in philosophy, mathematics, cosmology and physics played an indispensable role in making possible the birth of modern science.
Download or read book A Survey of Islamic Astronomical Tables written by Edward Stewart Kennedy and published by American Philosophical Society. This book was released on 1956 with total page 82 pages. Available in PDF, EPUB and Kindle. Book excerpt: The source material for the study of medieval oriental astronomy consists of Byzantine Greek, Sanscrit, Hebrew, Arabic, Persian, and Turkish astronomical and astrological manuscripts. If one desires to build up a detailed picture of Islamic astronomy, one can choose material from these available manuscripts. Of these manuscripts it is possible to isolate a group of works, the "zijes". A "zij" consists of the numerical tables and accompanying explanation sufficient to measure time and to compute planetary and stellar positions, appearance, and eclipses. This paper is a survey of the number, distribution, contents, and relations between "zijes" written in Arabic or Persian during the period from the 8th through the 15th centuries. Illustrations. Oversize.
Download or read book History of Mathematics written by Joseph Dauben and published by Academic Press. This book was released on 1996-03-20 with total page 430 pages. Available in PDF, EPUB and Kindle. Book excerpt: The contributors and their methods are diverse. Their papers deal with subjects such as anamorphic art, the geometry of Durer, musical works of Mozart and Beethoven, the history of negative numbers, the development of mathematical notation, and efforts to bring mathematics to bear on problems in commerce and engineering. All papers have English summaries. This book provides historians of mathematics or mathematicians with an interest in history with an overview of the methods, concerns, and results of research in the history of mathematics as it stands today.
