Conics


Author: Apollonius of Perga
Publisher: N.A
ISBN: 9781888009408
Category: Mathematics
Page: 413
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A single volume that combines Conics Books I-III and Conics Book IV (both by Apollonius of Perga). It supersedes the two-volume edition.

Treatise on Conic Sections


Author: Apollonius of Perga
Publisher: Cambridge University Press
ISBN: 1108062784
Category: Mathematics
Page: 434
View: 6073
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Published in 1896, this translation of a classic work of Greek geometry uses modern notation and includes considerable introductory material.

Conics

Books I-III
Author: Apollonius (of Perga.),R. Catesby Taliaferro,William H. Donahue,Harvey Flaumenhaft
Publisher: N.A
ISBN: 9781888009057
Category: Mathematics
Page: 284
View: 9548
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A completely new edition of Taliaferro's translation of the first three books of Apollonius's Conics with all new diagrams. It is the only English translation of these books other than Heath's out-of-print version which is a modernized retelling rather than a true translation. This 3rd Century BCE work displays astonishing virtuosity in the treatment of conic sections in the classical synthetic geometrical manner. It is the culmination of Greek geometry and, in turn, provided a basis for the work of modern mathematicians and scientists such as Vieta, Descartes, Kepler, and Newton. Includes many corrections to the old edition's text, translation, and notes, all new diagrams, an index, a bibliography, and an introductory essay by Harvey Flaumenhaft. Design and layout make it easy to read and work with, with diagrams repeated on every spread, adequate space for notes, and high quality paper to prevent show-through.

Apollonius: Conics Books V to VII

The Arabic Translation of the Lost Greek Original in the Version of the Banū Mūsā
Author: N.A
Publisher: Springer Science & Business Media
ISBN: 1461389852
Category: Mathematics
Page: 890
View: 9225
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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.

Practical Conic Sections

The Geometric Properties of Ellipses, Parabolas and Hyperbolas
Author: J. W. Downs
Publisher: Courier Corporation
ISBN: 0486148882
Category: Mathematics
Page: 112
View: 568
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Using examples from everyday life, this text studies ellipses, parabolas, and hyperbolas. Explores their ancient origins and describes the reflective properties and roles of curves in design applications. 1993 edition. Includes 98 figures.

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: 8848
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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.

Apollonius: Conics Books V to VII

The Arabic Translation of the Lost Greek Original in the Version of the Banū Mūsā
Author: N.A
Publisher: Springer Science & Business Media
ISBN: 1461389852
Category: Mathematics
Page: 890
View: 5826
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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.

Ibn al-Haytham’s Completion of the Conics


Author: J.P. Hogendijk
Publisher: Springer Science & Business Media
ISBN: 147574059X
Category: Mathematics
Page: 417
View: 5903
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Arabian text with English translation and commentary

Lines and Curves

A Practical Geometry Handbook
Author: Victor Gutenmacher,N.B. Vasilyev
Publisher: Springer Science & Business Media
ISBN: 1475738099
Category: Mathematics
Page: 156
View: 7951
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Broad appeal to undergraduate teachers, students, and engineers; Concise descriptions of properties of basic planar curves from different perspectives; useful handbook for software engineers; A special chapter---"Geometry on the Web"---will further enhance the usefulness of this book as an informal tutorial resource.; Good mathematical notation, descriptions of properties of lines and curves, and the illustration of geometric concepts facilitate the design of computer graphics tools and computer animation.; Video game designers, for example, will find a clear discussion and illustration of hard-to-understand trajectory design concepts.; Good supplementary text for geometry courses at the undergraduate and advanced high school levels

Excursions in Geometry


Author: Charles Stanley Ogilvy
Publisher: Courier Corporation
ISBN: 0486265307
Category: Mathematics
Page: 178
View: 2382
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A straightedge, compass, and a little thought are all that's needed to discover the intellectual excitement of geometry. Harmonic division and Apollonian circles, inversive geometry, hexlet, Golden Section, more. 132 illustrations.

V for Vendetta


Author: Alan Moore
Publisher: DC
ISBN: 1401236316
Category: Comics & Graphic Novels
Page: N.A
View: 5308
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A new edition of the graphic novel that inspired the hit movie! A powerful story about loss of freedom and individuality, V FOR VENDETTA takes place in a totalitarian England following a devastating war that changed the face of the planet. In a world without political freedom or personal freedom, and precious little faith in anything, comes a mysterious man in a white porcelain mask who fights political oppressors through terrorism and seemingly absurd acts. It's a gripping tale of the blurred lines between ideological good and evil.

Apollonius of Perga - Treatise on Conic Sections


Author: Thomas Little Heath
Publisher: Carruthers Press
ISBN: 1446021262
Category: Mathematics
Page: 426
View: 1281
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Despite being generally unknown to the greats of contemporary mathematics, Apollonius s Conics is said by Chasles to contain the most interesting properties of conics . Written by one of the great pioneers of geometry, this scarce text contains a comprehensive account of the mathematics of conics, and as such constitutes a valuable to addition to the libraries of serious mathematicians and historians alike. Apollonius of Perga was a Greek geometer and astronomer, most famous for his work pertaining to conic sections and whose methodology and terminology influenced such intellectual giants as Ptolemy, Johannes Kepler, Francesco Maurolico, Isaac Newton, and Rene Descartes. This rare text is proudly republished here with an introductory biography of the author."

The French Revolution

A History ...
Author: Thomas Carlyle
Publisher: N.A
ISBN: N.A
Category: France
Page: N.A
View: 3622
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Geometri?eskie svojstva krivyh vtorogo porâdka


Author: Arseny V. Akopyan
Publisher: American Mathematical Soc.
ISBN: 9780821884324
Category: Mathematics
Page: 134
View: 652
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"Geometry Of Conics deals with the properties of conics (plane curves of second degree) that can be formulated and proved using only elementary geometry. Starting with the well-known optical properties of conics, this book moves to less trivial results, both classical and contemporary. It demonstrates the advantage of purely geometric methods of studying conics."--Publisher's website.

Apollonius of Perga's Conica

Text, Context, Subtext
Author: Michael N. Fried
Publisher: BRILL
ISBN: 9789004119772
Category: History
Page: 499
View: 3667
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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."

DIOCLES, On Burning Mirrors

The Arabic Translation of the Lost Greek Original
Author: N.A
Publisher: Springer Science & Business Media
ISBN: 3642809812
Category: Mathematics
Page: 252
View: 8795
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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.

The Elements of Euclid


Author: Euclid
Publisher: N.A
ISBN: N.A
Category: Geometry
Page: 416
View: 9375
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Dictionary of Distances


Author: Michel-Marie Deza,Elena Deza
Publisher: Elsevier
ISBN: 9780080465548
Category: Mathematics
Page: 412
View: 324
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This book comes out of need and urgency (expressed especially in areas of Information Retrieval with respect to Image, Audio, Internet and Biology) to have a working tool to compare data. The book will provide powerful resource for all researchers using Mathematics as well as for mathematicians themselves. In the time when over-specialization and terminology fences isolate researchers, this Dictionary try to be "centripedal" and "oikoumeni", providing some access and altitude of vision but without taking the route of scientific vulgarisation. This attempted balance is the main philosophy of this Dictionary which defined its structure and style. Key features: - Unicity: it is the first book treating the basic notion of Distance in whole generality. - Interdisciplinarity: this Dictionary is larger in scope than majority of thematic dictionaries. - Encyclopedicity: while an Encyclopedia of Distances seems now too difficult to produce, this book (by its scope, short introductions and organization) provides the main material for it and for future tutorials on some parts of this material. - Applicability: the distances, as well as distance-related notions and paradigms, are provided in ready-to-use fashion. - Worthiness: the need and urgency for such dictionary was great in several huge areas, esp. Information Retrieval, Image Analysis, Speech Recognition and Biology. - Accessibility: the definitions are easy to locate by subject or, in Index, by alphabetic order; the introductions and definitions are reader-friendly and maximally independent one from another; still the text is structured, in the 3D HTML style, by hyperlink-like boldfaced references to similar definitions. * Covers a large range of subjects in pure and applied mathematics * Designed to be easily applied--the distances and distance-related notions and paradigms are ready to use * Helps users quickly locate definitions by subject or in alphabetical order; stand-alone entries include references to other entries and sources for further investigation

Applied Conics

A Comprehensive Systems Approach
Author: Tamas Varhegyi
Publisher: Tamas Varhegyi
ISBN: 0979250609
Category: Conic sections
Page: 361
View: 3263
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Introduction to Classical Mechanics

With Problems and Solutions
Author: David Morin
Publisher: Cambridge University Press
ISBN: 1139468375
Category: Science
Page: N.A
View: 7201
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This textbook covers all the standard introductory topics in classical mechanics, including Newton's laws, oscillations, energy, momentum, angular momentum, planetary motion, and special relativity. It also explores more advanced topics, such as normal modes, the Lagrangian method, gyroscopic motion, fictitious forces, 4-vectors, and general relativity. It contains more than 250 problems with detailed solutions so students can easily check their understanding of the topic. There are also over 350 unworked exercises which are ideal for homework assignments. Password protected solutions are available to instructors at www.cambridge.org/9780521876223. The vast number of problems alone makes it an ideal supplementary text for all levels of undergraduate physics courses in classical mechanics. Remarks are scattered throughout the text, discussing issues that are often glossed over in other textbooks, and it is thoroughly illustrated with more than 600 figures to help demonstrate key concepts.