Stochastic Geometry: Lectures given at the C.I.M.E. Summer

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The answer, with increasing emphasis, was “no.” Astronomers remarked that the eccentric orbit representing the Sun’s annual motion could be replaced by a pair of circles, a deferent centred on the Earth and an epicycle the centre of which moved along the circumference of the deferent. Initially and up to the middle of the nineteenth century, differential geometry was studied from the extrinsic point of view: curves, surfaces and other objects were considered as lying in a space of higher dimension (for example a surface in an ambient space of three dimensions).

Pages: 292

Publisher: Springer; 2007 edition (June 2, 2010)

ISBN: 3540381740

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