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, etc.); 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.