From Thales to Euclid
著者
書誌事項
From Thales to Euclid
(The Loeb classical library, 335 . Selections illustrating the history of Greek mathematics / with an English translation by Ivor Thomas ; 1)
Harvard University Press, 1991
Repr. with additions and revisions
- タイトル別名
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Greek mathematical works
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From Thales to Euclid
BA18541387
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From Thales to Euclid
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注記
Greek text and parallel English translation
First published 1939
Bibliography (to 1979; addendum, 1991, on page liii): p. xvii-lvi
内容説明・目次
内容説明
The wonderful achievement of Greek mathematics is here illustrated in two volumes of selected mathematical works. Volume I contains: The divisions of mathematics; mathematics in Greek education; calculation; arithmetical notation and operations, including square root and cube root; Pythagorean arithmetic, including properties of numbers; square root of 2; proportion and means; algebraic equations; Proclus; Thales; Pythagorean geometry; Democritus; Hippocrates of Chios; duplicating the cube and squaring the circle; trisecting angles; Theaetetus; Plato; Eudoxus of Cnidus (pyramid, cone, etc.); Aristotle (the infinite, the lever); Euclid.
Volume II (Loeb Classical Library no. 362) contains: Aristarchus (distances of sun and moon); Archimedes (cylinder, sphere, cubic equations; conoids; spheroids; spiral; expression of large numbers; mechanics; hydrostatics); Eratosthenes (measurement of the earth); Apollonius (conic sections and other works); later development of geometry; trigonometry (including Ptolemy's table of sines); mensuration: Heron of Alexandria; algebra: Diophantus (determinate and indeterminate equations); the revival of geometry: Pappus.
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