The transformation of state and society, the violent transference of power and property, and the establishment of Augustus' rule are presented in an unconventional narrative, which quotes from ancient evidence, refers seldomly to modern authorities, and states controversial opinions quite openly. The result is a book which is both fresh and compelling.

    First published on the eve of war in 1939, the essay has often been read as a pacifist manifesto. Rachel Bespaloff was a French contemporary of Weil’s whose work similarly explored the complex relations between literature, religion, and philosophy. She composed her own distinctive discussion of the Iliad in the midst of World War II—calling it “her method of facing the war”—and, as Christopher Benfey argues in his introduction, the essay was very probably written in response to Weil. Bespaloff’s account of the Iliad brings out Homer’s novelistic approach to character and the existential drama of his characters’ choices; it is marked, too, by a tragic awareness of how the Iliad speaks to times and places where there is no hope apart from war.This edition brings together these two influential essays for the first time, accompanied by Benfey’s scholarly introduction and an afterword by the great Austrian novelist Hermann Broch.

    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.