By Sir Thomas Heath
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Additional resources for A History of Greek Mathematics, Vol. 1: From Thales to Euclid
Dr. James Gow did a great service by the publication in 1884 of his Short History of Greek Mathematics, a scholarly and useful work which has held its own and has been quoted with respect and appreciation by authorities on the history of mathematics in all parts of the world. At the date when he wrote, however, Dr. Gow had necessarily to rely upon the works of the pioneers Bretschneider, Hankel, Allman, and Moritz Cantor (first edition). Since then the subject has been very greatly advanced; new texts have been published, important new documents have been discovered, and researches by scholars and mathematicians in different countries have thrown light on many obscure points.
Greek mathematics reveals an important aspect of the Greek genius of which the student of Greek culture is apt to lose sight. Most people, when they think of the Greek genius, naturally call to mind its masterpieces in literature and art with their notes of beauty, truth, freedom and humanism. But the Greek, with his insatiable desire to know the true meaning of everything in the universe and to be able to give a rational explanation of it, was just as irresistibly driven to natural science, mathematics, and exact reasoning in general or logic.
Mensuration The beginnings of Greek geometry. Thales (α) Measurement of height of pyramid (β) Geometrical theorems attributed to Thales (γ) Thales as astronomer From Thales to Pythagoras V. PYTHAGOREAN GEOMETRY Pythagoras Discoveries attributed to the Pythagoreans (α) Equality of sum of angles of any triangle to two right angles (β) The ‘Theorem of Pythagoras’ (γ) Application of areas and geometrical algebra (solution of quadratic equations) (δ) The irrational () The five regular solids (ζ) Pythagorean astronomy Recapitulation VI.
A History of Greek Mathematics, Vol. 1: From Thales to Euclid by Sir Thomas Heath