The Commentary of Al-Nayrizi on Books II-IV of Euclid's Elements of Geometry

The Commentary of Al-Nayrizi on Books II-IV of Euclid's Elements of Geometry
Author: Anaritius
Publisher: BRILL
Total Pages: 249
Release: 2009
Genre: Philosophy
ISBN: 9004173897

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.

The Commentary of al-Nayrizi on Books II-IV of Euclid's Elements of Geometry

The Commentary of al-Nayrizi on Books II-IV of Euclid's Elements of Geometry
Author: Anthony Lo Bello
Publisher: BRILL
Total Pages: 248
Release: 2009-04-24
Genre: Philosophy
ISBN: 9047444418

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.

Simplicius the Neoplatonist in Light of Contemporary Research

Simplicius the Neoplatonist in Light of Contemporary Research
Author: Ilsetraut Hadot
Publisher: Academia Verlag
Total Pages: 262
Release: 2020-12-18
Genre: Neoplatonism
ISBN: 9783896658944

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.

A Shared Legacy

A Shared Legacy
Author: Emilia Calvo
Publisher: Edicions Universitat Barcelona
Total Pages: 363
Release: 2008
Genre: Middle East
ISBN: 8447532852

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.

Tradition, Transmission, Transformation

Tradition, Transmission, Transformation
Author: F. Jamil Ragep
Publisher: BRILL
Total Pages: 634
Release: 1996
Genre: Science
ISBN: 9789004101197

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.

Mathematische Probleme im Mittelalter

Mathematische Probleme im Mittelalter
Author: Menso Folkerts
Publisher:
Total Pages: 498
Release: 1996
Genre: Mathematics
ISBN:

"Vortrèage, gehalten anlèasslich eines Arbeitsgesprèaches vom 18. bis 22. Juni 1990 in der Herzog August Bibliothek"--Verso of t.p.

History of Mathematics

History of Mathematics
Author: Joseph Dauben
Publisher: Academic Press
Total Pages: 430
Release: 1996-03-20
Genre: Mathematics
ISBN:

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.

The Shaping of Deduction in Greek Mathematics

The Shaping of Deduction in Greek Mathematics
Author: Reviel Netz
Publisher: Cambridge University Press
Total Pages: 356
Release: 2003-09-18
Genre: History
ISBN: 9780521541206

The aim of this book is to explain the shape of Greek mathematical thinking. It can be read on three levels: as a description of the practices of Greek mathematics; as a theory of the emergence of the deductive method; and as a case-study for a general view on the history of science. The starting point for the enquiry is geometry and the lettered diagram. Reviel Netz exploits the mathematicians' practices in the construction and lettering of their diagrams, and the continuing interaction between text and diagram in their proofs, to illuminate the underlying cognitive processes. A close examination of the mathematical use of language follows, especially mathematicians' use of repeated formulae. Two crucial chapters set out to show how mathematical proofs are structured and explain why Greek mathematical practice manages to be so satisfactory. A final chapter looks into the broader historical setting of Greek mathematical practice.