the fantastic success of Greek arithmetic is the following illustrated in volumes of chosen mathematical works. quantity I (Loeb Classical Library no. 335) comprises: The divisions of arithmetic; arithmetic in Greek schooling; calculation; arithmetical notation and operations, together with sq. root and dice root; Pythagorean mathematics, together with houses of numbers; sq. root of two; share and skill; algebraic equations; Proclus; Thales; Pythagorean geometry; Democritus; Hippocrates of Chios; duplicating the dice and squaring the circle; trisecting angles; Theaetetus; Plato; Eudoxus of Cnidus (pyramid, cone); Aristotle (the countless, the lever); Euclid.
quantity II comprises: Aristarchus (distances of sunlight and moon); Archimedes (cylinder, sphere, cubic equations; conoids; spheroids; spiral; expression of huge numbers; mechanics; hydrostatics); Eratosthenes (measurement of the earth); Apollonius (conic sections and different works); later improvement of geometry; trigonometry (including Ptolemy's desk of sines); mensuration: Heron of Alexandria; algebra: Diophantus (determinate and indeterminate equations); the revival of geometry: Pappus.
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