DIOCLES, On Burning Mirrors

DIOCLES, On Burning Mirrors PDF Author: G. J. Toomer
Publisher: Springer Science & Business Media
ISBN: 3642809812
Category : Mathematics
Languages : en
Pages : 257

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Book Description
This publication would not have been what it is without the help of many institutions and people, which I acknowledge most gratefully. I thank the Central Library and Documentation Center, Iran, and its director, Mr. Iraji Afshar, for permission to publish photo graphs of that part of ms. 392 of the Shrine Library, Meshhed, containing Diocles' treatise. I also thank the authorities of the Shrine Library, and especially Mr. Ahmad GolchTn-Ma'anT, for their cooperation in providing photographs of the manuscript. Mr. GolchTn Ma'anT also sent me, most generously, a copy of his catalogue of the astronomical and mathematical manuscripts of the Shrine Library. I am grateful to the Chester Beatty Library, Dublin, and the Universiteits-Bibliotheek, Leid'en, for providing me with microfilms of manuscripts I wished to consult, and to the Biblioteca Ambrosiana, Milan, for granting me access to its manuscripts. The text pages in Arabic script and the Index of Technical Terms were set by a computer-assisted phototypesetting system, using computer programs developed at the University of Washington and a high-speed image-generation phototypesetting device. A continuous stream of text on punched cards was fed through the Katib formatting program, which broke up the text into lines and pages and arranged the section numbers and apparatus on each page. Output from Katib was fed through the compositor program Hattat to create a magnetic tape for use on the VideoComp phototypesetter.

DIOCLES, On Burning Mirrors

DIOCLES, On Burning Mirrors PDF Author: G. J. Toomer
Publisher: Springer Science & Business Media
ISBN: 3642809812
Category : Mathematics
Languages : en
Pages : 257

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Book Description
This publication would not have been what it is without the help of many institutions and people, which I acknowledge most gratefully. I thank the Central Library and Documentation Center, Iran, and its director, Mr. Iraji Afshar, for permission to publish photo graphs of that part of ms. 392 of the Shrine Library, Meshhed, containing Diocles' treatise. I also thank the authorities of the Shrine Library, and especially Mr. Ahmad GolchTn-Ma'anT, for their cooperation in providing photographs of the manuscript. Mr. GolchTn Ma'anT also sent me, most generously, a copy of his catalogue of the astronomical and mathematical manuscripts of the Shrine Library. I am grateful to the Chester Beatty Library, Dublin, and the Universiteits-Bibliotheek, Leid'en, for providing me with microfilms of manuscripts I wished to consult, and to the Biblioteca Ambrosiana, Milan, for granting me access to its manuscripts. The text pages in Arabic script and the Index of Technical Terms were set by a computer-assisted phototypesetting system, using computer programs developed at the University of Washington and a high-speed image-generation phototypesetting device. A continuous stream of text on punched cards was fed through the Katib formatting program, which broke up the text into lines and pages and arranged the section numbers and apparatus on each page. Output from Katib was fed through the compositor program Hattat to create a magnetic tape for use on the VideoComp phototypesetter.

Textual Studies in Ancient and Medieval Geometry

Textual Studies in Ancient and Medieval Geometry PDF Author: W.R. Knorr
Publisher: Springer Science & Business Media
ISBN: 1461236908
Category : Mathematics
Languages : en
Pages : 850

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Book Description
For textual studies relating to the ancient mathematical corpus the efforts by the Danish philologist, 1. L. Heiberg (1854-1928), are especially significant. Beginning with his doctoral dissertation, Quaestiones Archimedeae (Copen hagen, 1879), Heiberg produced an astonishing series of editions and critical studies that remain the foundation of scholarship on Greek mathematical 4 science. For comprehensiveness and accuracy, his editions are exemplary. In his textual studies, as also in the prolegomena to his editions, he carefully described the extant evidence, organized the manuscripts into stemmata, and drew out the implications for the state of the text. 5 With regard to his Archimedean work, Heiberg sometimes betrayed signs of the philologist's occupational disease - the tendency to rewrite a text deemed on subjective grounds to be unworthy. 6 But he did so less often than his prominent 7 contemporaries, and not as to detract appreciably from the value of his editions. In examining textual questions bearing on the Archimedean corpus, he attempted to exploit as much as possible evidence from the ancient commentators, and in some instances from the medieval translations. It is here that opportunities abound for new work, extending, and in some instances superseding, Heiberg's findings. For at his time the availability of the medieval materials was limited. In recent years Marshall Clagett has completed a mammoth critical edition of the medieval Latin tradition of Archimedes,8 while the bibliographical instruments for the Arabic tradition are in good order thanks to the work of Fuat Sezgin.

The Forgotten Revolution

The Forgotten Revolution PDF Author: Lucio Russo
Publisher: Springer Science & Business Media
ISBN: 3642189040
Category : Science
Languages : en
Pages : 487

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Book Description
The period from the late fourth to the late second century B. C. witnessed, in Greek-speaking countries, an explosion of objective knowledge about the external world. WhileGreek culture had reached great heights in art, literature and philosophyalreadyin the earlier classical era, it is in the so-called Hellenistic period that we see for the ?rst time — anywhere in the world — the appearance of science as we understand it now: not an accumulation of facts or philosophically based speculations, but an or- nized effort to model nature and apply such models, or scienti?ctheories in a sense we will make precise, to the solution of practical problems and to a growing understanding of nature. We owe this new approach to scientists such as Archimedes, Euclid, Eratosthenes and many others less familiar todaybut no less remarkable. Yet, not long after this golden period, much of this extraordinary dev- opment had been reversed. Rome borrowed what it was capable of from the Greeks and kept it for a little while yet, but created very little science of its own. Europe was soon smothered in theobscurantism and stasis that blocked most avenues of intellectual development for a thousand years — until, as is well known, the rediscovery of ancient culture in its fullness paved the way to the modern age.

Atti Della Fondazione Giorgio Ronchi Anno Anno LX N.3

Atti Della Fondazione Giorgio Ronchi Anno Anno LX N.3 PDF Author:
Publisher: Lucia Ronchi
ISBN:
Category :
Languages : en
Pages : 148

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Book Description


Apollonius of Perga's Conica

Apollonius of Perga's Conica PDF Author: Michael Fried
Publisher: BRILL
ISBN: 9004350993
Category : Literary Criticism
Languages : en
Pages : 512

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Book Description
This volume contains a historically sensitive analysis and interpretation of Apollonius of Perga's Conica, one of the greatest works of Hellenistic mathematics. It provides a long overdue alternative to H. G. Zeuthen's Die Lehre von den Kogelschnitten im Altertum.

The Oxford Handbook of Science and Medicine in the Classical World

The Oxford Handbook of Science and Medicine in the Classical World PDF Author: Paul Turquand Keyser
Publisher: Oxford University Press
ISBN: 0199734143
Category : History
Languages : en
Pages : 1065

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Book Description
With a focus on science in the ancient societies of Greece and Rome, including glimpses into Egypt, Mesopotamia, India and China, 'The Oxford Handbook of Science and Medicine in the Classical World' offers an in depth synthesis of science and medicine circa 650 BCE to 650 CE. 0The Handbook comprises five sections, each with a specific focus on ancient science and medicine. The Handbook provides through each of its approximately four dozen essays, a synthesis and synopsis of the concepts and models of the various ancient natural sciences, covering the early Greek era through the fall of the Roman Republic, including essays that explore topics such as music theory, ancient philosophers, astrology, and alchemy.

Ptolemy and the Foundations of Ancient Mathematical Optics

Ptolemy and the Foundations of Ancient Mathematical Optics PDF Author: A. Mark Smith
Publisher: American Philosophical Society
ISBN: 9780871698933
Category : Mathematics
Languages : en
Pages : 180

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Book Description
Contents: (I) Ancient Theories of Visual Perception: The Physics of Vision; The Physiology of Vision; The Psychology of Visual Perception; (II) Optics Proper: Analysis of Direct Vision: The Visual Cone; The Visual Perception of Physical Space; Binocular Vision; (III) Catoptrics: Analysis of Vision by Reflected Rays: The Law of Equal Angles; Multiple Reflections and Multiple Images; The Principles of Image-Location; Image-Formation and Distortion; Visual Effecs from Composite Mirrors; (IV) Dioptrics: Analysis of Vision by Deflected Rays: Observation and Explanation of the Phenomenon; Practical Application: The Problem of Atmospheric Refraction; Image-Location as a Function of the Shape of the Refracting Surface; Size-Distortion; (V) Analysis of the Rainbow and of Burning Mirrors; (VI) Conclusion. Illus.

From Sight to Light

From Sight to Light PDF Author: A. Mark Smith
Publisher: University of Chicago Press
ISBN: 022652857X
Category : History
Languages : en
Pages : 470

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Book Description
From its inception in Greek antiquity, the science of optics was aimed primarily at explaining sight and accounting for why things look as they do. By the end of the seventeenth century, however, the analytic focus of optics had shifted to light: its fundamental properties and such physical behaviors as reflection, refraction, and diffraction. This dramatic shift—which A. Mark Smith characterizes as the “Keplerian turn”—lies at the heart of this fascinating and pioneering study. Breaking from previous scholarship that sees Johannes Kepler as the culmination of a long-evolving optical tradition that traced back to Greek antiquity via the Muslim Middle Ages, Smith presents Kepler instead as marking a rupture with this tradition, arguing that his theory of retinal imaging, which was published in 1604, was instrumental in prompting the turn from sight to light. Kepler’s new theory of sight, Smith reveals, thus takes on true historical significance: by treating the eye as a mere light-focusing device rather than an image-producing instrument—as traditionally understood—Kepler’s account of retinal imaging helped spur the shift in analytic focus that eventually led to modern optics. A sweeping survey, From Sight to Light is poised to become the standard reference for historians of optics as well as those interested more broadly in the history of science, the history of art, and cultural and intellectual history.

The History of Mathematics: A Source-Based Approach

The History of Mathematics: A Source-Based Approach PDF Author: June Barrow-Green
Publisher: American Mathematical Society
ISBN: 1470466767
Category : Mathematics
Languages : en
Pages : 505

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Book Description
The History of Mathematics: A Source-Based Approach is a comprehensive history of the development of mathematics. This, the first volume of the two-volume set, takes readers from the beginning of counting in prehistory to 1600 and the threshold of the discovery of calculus. It is notable for the extensive engagement with original—primary and secondary—source material. The coverage is worldwide, and embraces developments, including education, in Egypt, Mesopotamia, Greece, China, India, the Islamic world and Europe. The emphasis on astronomy and its historical relationship to mathematics is new, and the presentation of every topic is informed by the most recent scholarship in the field. The two-volume set was designed as a textbook for the authors' acclaimed year-long course at the Open University. It is, in addition to being an innovative and insightful textbook, an invaluable resource for students and scholars of the history of mathematics. The authors, each among the most distinguished mathematical historians in the world, have produced over fifty books and earned scholarly and expository prizes from the major mathematical societies of the English-speaking world.

A New History of Greek Mathematics

A New History of Greek Mathematics PDF Author: Reviel Netz
Publisher: Cambridge University Press
ISBN: 1108833845
Category : History
Languages : en
Pages : 541

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Book Description
Engaging and comprehensive history of Greek mathematics, with full attention to social contexts and its place in world history.