Conics


Author: Apollonius (of Perga.)
Publisher: N.A
ISBN: N.A
Category: Mathematics
Page: 69
View: 1775
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A first English translation of Book IV of Apollonius's Conics, translated and annotated by Michael N. Fried, as a companion volume to our edition of Conics Books I-III. Conics IV deals with the way pairs of conic sections can intersect or touch each other. In his Introduction to the translation, Fried shows that this book has been misappraised by scholars too much inclined to see Apollonius's work merely as a precursor to the analytic geometry of the seventeenth century. He writes, Playfulness is one of the real delights of Book IV. One can see in this playfulness the artful way Apollonius contends with the main challenge of the book—-the problem of how the opposite sections, specifically, meet other sections of a cone and other opposite sections—- how he gives this problem both foundation and context.

Apollonius: Conics Books V to VII

The Arabic Translation of the Lost Greek Original in the Version of the Banū Mūsā
Author: Gerald J. Toomer
Publisher: Springer Science & Business Media
ISBN: 1461389852
Category: Mathematics
Page: 890
View: 9789
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With the publication of this book I discharge a debt which our era has long owed to the memory of a great mathematician of antiquity: to pub lish the /llost books" of the Conics of Apollonius in the form which is the closest we have to the original, the Arabic version of the Banu Musil. Un til now this has been accessible only in Halley's Latin translation of 1710 (and translations into other languages entirely dependent on that). While I yield to none in my admiration for Halley's edition of the Conics, it is far from satisfying the requirements of modern scholarship. In particular, it does not contain the Arabic text. I hope that the present edition will not only remedy those deficiencies, but will also serve as a foundation for the study of the influence of the Conics in the medieval Islamic world. I acknowledge with gratitude the help of a number of institutions and people. The John Simon Guggenheim Memorial Foundation, by the award of one of its Fellowships for 1985-86, enabled me to devote an unbroken year to this project, and to consult essential material in the Bodleian Li brary, Oxford, and the Bibliotheque Nationale, Paris. Corpus Christi Col lege, Cambridge, appointed me to a Visiting Fellowship in Trinity Term, 1988, which allowed me to make good use of the rich resources of both the University Library, Cambridge, and the Bodleian Library.

Edmond Halley’s Reconstruction of the Lost Book of Apollonius’s Conics

Translation and Commentary
Author: Michael N. Fried
Publisher: Springer Science & Business Media
ISBN: 9781461401469
Category: Mathematics
Page: 134
View: 2967
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Apollonius’s Conics was one of the greatest works of advanced mathematics in antiquity. The work comprised eight books, of which four have come down to us in their original Greek and three in Arabic. By the time the Arabic translations were produced, the eighth book had already been lost. In 1710, Edmond Halley, then Savilian Professor of Geometry at Oxford, produced an edition of the Greek text of the Conics of Books I-IV, a translation into Latin from the Arabic versions of Books V-VII, and a reconstruction of Book VIII. The present work provides the first complete English translation of Halley’s reconstruction of Book VIII with supplementary notes on the text. It also contains 1) an introduction discussing aspects of Apollonius’s Conics 2) an investigation of Edmond Halley's understanding of the nature of his venture into ancient mathematics, and 3) an appendices giving a brief account of Apollonius’s approach to conic sections and his mathematical techniques. This book will be of interest to students and researchers interested in the history of ancient Greek mathematics and mathematics in the early modern period.

Experimental-untersuchungen über elektricität


Author: Michael Faraday,Friedrich Steinle
Publisher: Harri Deutsch Verlag
ISBN: N.A
Category: Electricity
Page: 646
View: 9743
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Vito Volterra


Author: Angelo Guerraggio,Giovanni Paoloni
Publisher: Springer-Verlag
ISBN: 3034800819
Category: Mathematics
Page: 230
View: 8372
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Der Mathematiker Vito Volterra (1860 – 1940) war nicht nur ein großer Mathematiker, sondern auch ein guter Wissenschaftsorganisator. Über Jahrzehnte galt er als der bedeutendste Repräsentant der Wissenschaft in Italien. Die Autoren rekonstruieren seine wichtigsten Beiträge zur Wissenschaft und zur Entwicklung der wissenschaftlichen Institutionen in Italien und der Welt: von der Entwicklung der Funktionalanalysis über die Untersuchung der Populationsdynamik bis zu seiner Lehrtätigkeit und der Gründung des staatlichen italienischen Forschungsrates.

Die Lehre von den Kegelsehnitten im Altertum


Author: Dr. H. G. Zeuthen
Publisher: N.A
ISBN: N.A
Category:
Page: N.A
View: 9730
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Apollonius of Perga's Conica

Text, Context, Subtext
Author: Michael N. Fried
Publisher: BRILL
ISBN: 9789004119772
Category: History
Page: 499
View: 8834
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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."

A geometrical treatise of conic sections

In four books. To which is added a treatise on the primary properties of conchoids, the cissoid, the quadratrix, cycloids, the logarithmic curve, and the logarithmic, Archimedean, and hyperbolic spirals
Author: Abram Robertson
Publisher: N.A
ISBN: N.A
Category: Conic sections
Page: 268
View: 6519
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Erwachende Wissenschaft

Ägyptische, babylonische und griechische Mathematik
Author: Bartel Leendert Waerden
Publisher: N.A
ISBN: N.A
Category: Astronomy, Assyro-Babylonian
Page: 488
View: 2920
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Mathematik à la Carte

Quadratische Gleichungen mit Schnitten von Kegeln
Author: Franz Lemmermeyer
Publisher: Springer-Verlag
ISBN: 3662503417
Category: Mathematics
Page: 241
View: 5578
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Der zweite Band dieser Reihe macht Lust auf Mathematik, und zwar auf Mathematik, die wie die Elementargeometrie im ersten Band lange Zeit den Schulunterricht geprägt hat. Die Leser können einen kurzen Blick auf die 4000-jährige Geschichte der quadratischen Gleichungen werfen und erfahren, was diese mit der Geometrie der Kegelschnitte zu tun haben. Darüber hinaus lernen sie Anwendungen der Kegelschnitte in der Physik und Astronomie kennen und entdecken, wie leistungsfähig selbst elementare Mathematik ist, wenn man sie ernst nimmt. Das letzte Kapitel geht inhaltlich etwas über die klassische Schulmathematik hinaus und zeigt, wie die Algebra und die Geometrie der Kegelschnitte einen neuen Zugang zu einem bekannten Olympiadeproblem aus der Zahlentheorie eröffnen. Vom gleichen Autor ist in der Reihe bereits erschienen: Mathematik à la Carte – Elementargeometrie an Quadratwurzeln mit einigen geschichtlichen Bemerkungen.

Experiment and Natural Philosophy in Seventeenth-Century Tuscany

The History of the Accademia del Cimento
Author: Luciano Boschiero
Publisher: Springer Science & Business Media
ISBN: 140206246X
Category: Science
Page: 251
View: 5024
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This work counters historiographies that search for the origins of modern science within the experimental practices of Europe’s first scientific institutions, such as the Cimento. It proposes that we should look beyond the experimental rhetoric found in published works, to find that the Cimento academicians were participants in a culture of natural philosophical theorising that existed throughout Europe.

A geometrical treatise of conic sections. To which is added, A treatise on the primary properties of conchoids, the cissoid [&c.].


Author: Abram Robertson
Publisher: N.A
ISBN: N.A
Category:
Page: N.A
View: 4175
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Star Wars Darth Vader - Vader


Author: Kieron Gillen
Publisher: Panini
ISBN: 3736721544
Category: Comics & Graphic Novels
Page: 144
View: 2156
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Seit dem Sieg der Sith über die Jedi und seiner schmerzhaften Wiedergeburt auf dem vulkanischen Planeten Mustafar, hat der Sith-Lord Darth Vader seinem Meister treu gedient. Doch jetzt - nach der Zerstörung des Todessterns - ist Vader beim Imperator in Ungnade gefallen. Jetzt ist Vader auf der Suche nach dem Piloten, der den Todesstern zerstört hat. DIE ERSTE DARTH VADERSTORY AUS DEM NEUEN STAR WARS-UNIVERSUM.

Algebraic Geometry, a New Treatise on Analytical Conic Sections: The straight line and the circle


Author: William Meath Baker
Publisher: N.A
ISBN: N.A
Category: Conic sections
Page: N.A
View: 9423
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The Principia of Newton; with Notes ... Containing [Book I., Sect. 1-3] All that is Read at the University of Cambridge. By J. M. F. Wright, Etc


Author: N.A
Publisher: N.A
ISBN: N.A
Category:
Page: N.A
View: 2029
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The First Four Books of Xenophon's Anabasis

With Notes Adapted to Goodwin's Greek Grammar, Parallel References to Crosby's and Hadley's Grammars ...
Author: Xenophon
Publisher: N.A
ISBN: N.A
Category: Iran
Page: 233
View: 6696
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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 Newly Discovered Qom Manuscript Edited by Rèudiger Arnzen
Author: Anaritius,Anthony Lo Bello
Publisher: BRILL
ISBN: 9004173897
Category: Philosophy
Page: 215
View: 3576
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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.

Die antike Mathematik

Eine Geschichte der griechischen Mathematik, ihrer Probleme und Lösungen
Author: Dietmar Herrmann
Publisher: Springer-Verlag
ISBN: 3642376126
Category: Mathematics
Page: 444
View: 4915
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Der Band enthält eine umfassende und problemorientierte Darstellung der antiken griechischen Mathematik von Thales bis zu Proklos Diadochus. Enzyklopädisch wird ein Querschnitt durch die griechische Mathematik geboten, wobei auch solche Werke von Wissenschaftlern ausführlich gewürdigt werden, von denen keine deutsche Übersetzung vorliegt. Zahlreiche Abbildungen und die Einbeziehung des kulturellen, politischen und literarischen Umfelds liefern ein großartiges Spektrum der mathematischen Wissenschaftsgeschichte und eine wahre Fundgrube für diejenigen, die biographisches und zeitgeschichtliches Hintergrundwissen suchen oder Anregungen für Unterricht bzw. Vorlesung. Die Darstellung ist aktuell und realisiert Tendenzen neuerer Geschichtsschreibung. Zahlreiche Hinweise auf das Nachwirken der griechischen Mathematik und eine umfangreiche Bibliografie ermöglichen eine individuelle Vertiefung des Textes.