Treatise on Conic Sections PDF Download
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Author: Apollonius (of Perga.)
Publisher:
ISBN:
Category : Conic sections
Languages : en
Pages : 444
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Book Description
Author: Apollonius (of Perga.)
Publisher:
ISBN:
Category : Conic sections
Languages : en
Pages : 444
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Book Description
Author: Charles Smith
Publisher:
ISBN:
Category : Conic sections
Languages : en
Pages : 464
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Book Description
Author: George Salmon
Publisher:
ISBN:
Category : Geometry, Analytic
Languages : en
Pages : 445
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Book Description
Author: J. W. Downs
Publisher: Courier Corporation
ISBN: 0486148882
Category : Mathematics
Languages : es
Pages : 116
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Book Description
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.
Author: Barry Spain
Publisher: Courier Corporation
ISBN: 0486457737
Category : Mathematics
Languages : en
Pages : 164
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Book Description
This concise text introduces students to analytical geometry, covering basic ideas and methods. Readily intelligible to any student with a sound mathematical background, it is designed both for undergraduates and for math majors. It will prove particularly valuable in preparing readers for more advanced treatments. The text begins with an overview of the analytical geometry of the straight line, circle, and the conics in their standard forms. It proceeds to discussions of translations and rotations of axes, and of the general equation of the second degree. The concept of the line at infinity is introduced, and the main properties of conics and pencils of conics are derived from the general equation. The fundamentals of cross-ratio, homographic correspondence, and line-coordinates are explored, including applications of the latter to focal properties. The final chapter provides a compact account of generalized homogeneous coordinates, and a helpful appendix presents solutions to many of the examples.
Author: Thomas L Heath
Publisher: Independently Published
ISBN: 9781076451736
Category :
Languages : en
Pages : 516
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Book Description
THE WORKS OF ARCHIMEDES - Archimedes. Thomas L. Heath. Cambridge Library Collection. Mathematics. Archimedes lived in the third century BCE, and died in the siege of Syracuse. Together with Euclid and Apollonius, he was one of the three great mathematicians of the ancient world, credited with astonishing breadth of thought and brilliance of insight. His practical inventions included the water-screw for irrigation, catapults and grappling devices for military defence on land and sea, compound pulley systems for moving large masses, and a model for explaining solar eclipses. According to Plutarch, however, Archimedes viewed his mechanical inventions merely as 'diversions of geometry at play'. His principal focus lay in mathematics, where his achievements in geometry, arithmetic and mechanics included work on spheres, cylinders and floating objects. This classic 1897 text celebrated Archimedes' achievements. Part 1 placed Archimedes in his historical context and presented his mathematical methods and discoveries, while Part 2 contained translations of his complete known writings.
Author: George Salmon
Publisher:
ISBN:
Category :
Languages : en
Pages : 372
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Book Description
Author: George Salmon
Publisher:
ISBN:
Category : Curves, Algebraic
Languages : en
Pages : 424
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Book Description
Author: Edward Harrison Askwith
Publisher:
ISBN:
Category : Conic sections
Languages : en
Pages : 470
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Book Description
Author: Michael N. Fried
Publisher: Springer Science & Business Media
ISBN: 1461401461
Category : Mathematics
Languages : en
Pages : 134
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Book Description
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.
