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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