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.
- XVI. Aristarchus of Samos 2
- XVII. Archimedes 18
- XVIII. Eratosthenes 260
- XIX. Apollonius of Perga 276
- XX. Later Developments in Geometry 360
- XXI. Trigonometry 406
- XXII. Mensuration: Heron of Alexandria 466
- XXIII. Algebra: Diophantus 512
- XXIV. Revival of Geometry: Pappus of Alexandria 564
- index 622
- list of ancient texts cited 650
- Index of Greek Terms 655