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cover The works of Archimedes / e...
The works of Archimedes
Dover Publications 2002

Complete works of ancient geometer in highly accessible translation by distinguished scholar. Topics include the famous problems of the ratio of the areas of a cylinder and an inscribed sphere; the measurement of a circle; the properties of conoids, spheroids, and spirals; and the quadrature of the parabola. Informative introduction and 52-page supplement

Early works.

Monografía

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Título uniforme:
Works. English. 2002
Título:
The works of Archimedes / edited by T.L. Heath
Editorial:
Mineola, N.Y. : Dover Publications, 2002
Descripción física:
1 online resource (clxxxvi, 326, 51 pages) : illustrations
Nota general:
"Unabridged republication of the edition published by Cambridge University Press in 1897 under the title The works of Archimedes, edited in modern notation with introductory chapters, and of the supplement published by Cambridge University Press in 1912 under the title The method of Archimedes, recently discovered by Heiberg, a supplement to The works of Archimedes"--Title page verso
Bibliografía:
"List of the principal works consulted": pages xi-xii
Contenido:
Chapter I. Archimedes -- Chapter II. Manuscripts and Principal Editions -- Order of Composition -- Dialect -- Lost Works -- Chapter III. Relation of Archimedes to His Predecessors -- 1. Use of traditional geometrical methods -- 2. Earlier discoveries affecting quadrature and cubature -- 3. Conic Sections -- 4. Surfaces of the second degree -- 5. Two mean proportionals in continued proportion -- Chapter IV. Arithmetic in Archimedes -- 1. Greek numeral system -- 2. Addition and subtraction -- 3. Multiplication -- 4. Division -- 5. Extraction of the square root -- 6. Early investigations of surds or incommensurables -- 7. Archimedes' approximations to [radical]3 -- 8. Archimedes' approximations to the square roots of large numbers which are not complete squares -- Note on alternative hypotheses with regard to the approximations to [radical]3 -- Chapter V. On the Problems Known As [characters not reproducible] -- 1. [characters not reproducible] referred to by Archimedes -- 2. Mechanical constructions: the conchoid of Nicomedes -- 3. Pappus' solution of the [characters not reproducible] referred to in Props. 8, 9 On Spirals -- 4. The problem of the two mean proportionals -- 5. The trisection of an angle -- 6. On certain plane [characters not reproducible] -- Chapter VI. Cubic Equations -- Chapter VII. Anticipations by Archimedes of the Integral Calculus -- Chapter VIII. The Terminology of Archimedes -- The Works of Archimedes -- On the Sphere and Cylinder, Book I -- On the Sphere and Cylinder, Book II -- Measurement of a Circle -- On Conoids and Spheroids -- On Spirals -- On the Equilibrium of Planes, Book I -- On the Equilibrium of Planes, Book II -- The Sand-Reckoner -- Quadrature of the Parabola -- On Floating Bodies, Book I -- On Floating Bodies, Book II -- Book of Lemmas -- The Cattle-Problem -- Supplement -- the Method of Archimedes
Copyright/Depósito Legal:
1302553200
ISBN:
9780486154398 ( electronic bk.)
0486154394 ( electronic bk.)
0486420841
9780486420844
Materia:
Autores:
Enlace a formato físico adicional:
Print version: Archimedes. Works. English. 2002. Works of Archimedes., Mineola, N.Y. : Dover Publications, 2002 0486420841 (DLC) 2002018892 (OCoLC)48876646

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