the branch of mathematics that deals with the application of the principles of differential and integral calculus to the study of curves and surfaces.
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British Dictionary definitions for differential geometry
the application of differential calculus to geometrical problems; the study of objects that remain unchanged by transformations that preserve derivatives
Collins English Dictionary - Complete & Unabridged 2012 Digital Edition © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009, 2012