Elemental learning. The splendid achievement of Greek mathematics is here illustrated in two volumes of selected mathematical works. Volume I (LCL 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; the 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 (LCL 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 (mensuration)

Diophantus (algebra, determinate and indeterminate equations)

Pappus (the revival of geometry).