I. Introductory II. Numerical notation and practical calculation III. Pythagorean Arithmetic IV. The earliest Greek geometry. Thales V. Pythagorean geometry VI. Progress in the elements down to Plato's time VII. Special problems VIII. From Plato to Euclid IX. Euclid X. Aristarchus of Samos XI. Archimedes XII. Conic sections XIII. The successors of the great geometers XIV. Trigonometry: Hipparchus Menelaus Ptolemy XV. Mensuration: Heron of Alexandria XVI. Pappus of Alexandria XVII. Algebra: Diophantus of Alexandria XVIII. Commentators and minor writers
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