The wonderful achievement of Greek mathematics is here
illustrated in two volumes of selected mathematical works. Volume I
("Loeb Classical Library no. 335") 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);
Aristotle (the infinite, the lever); Euclid.
Volume II 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.
General
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