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Sep 30

Projective differential geometry of curves and surfaces.

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A smooth manifold always carries a natural vector bundle, the tangent bundle. However, if we credit the ancient historian Plutarch’s guess at Eratosthenes’ unit of length, we obtain a value for the Earth’s circumference of about 46,250 km—remarkably close to the modern value (about 15 percent too large), considering the difficulty in accurately measuring l and α. (See Sidebar: Measuring the Earth, Classical and Arabic .) Aristarchus of Samos (c. 310–230 bce) has garnered the credit for extending the grip of number as far as the Sun.

Pages: 0

Publisher: The University of Chicago Press (1932)

ISBN: B007T261ZU

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