... flowing quantities." For example: I don't here consider Mathematical Quantities as composed of Parts extremely small, but as generated by a continual motion. Lines are described, and by describing are generated, not by any apposition of Parts, but... The Mathematician - Page 1921751 - 399 pagesFull view - About this book
| Colin MacLaurin - Calculus - 1801 - 506 pages
...generated is said to flow, and called a Fluent. 10. Lines are generated by the motion of points ; surfaces, by the motion of lines ; solids, by the motion of surfaces ; angles, by the rotation of their sides : the flux of time being supposed to be always uniform. The velocity with which a line flows, * Dc... | |
| Douglas M. Jesseph - Mathematics - 1993 - 344 pages
...and by describing are generated, not by any apposition of Parts, but by a continual motion of Points. Surfaces are generated by the motion of Lines, Solids...motion of Surfaces, Angles by the Rotation of their Legs, Time by a continual flux, and so in the rest. These Geneses are founded upon Nature, and are... | |
| I. Bernard Cohen, George E. Smith - Biography & Autobiography - 2002 - 518 pages
...generated by being described, not by the addition of parts but by the continuous motion of points, surfaces by the motion of lines, solids by the motion of surfaces, angles by the motion of sides, and times by [their] continuous flow and so for the rest.26 It is very relevant that... | |
| Kenneth Winkler - History - 2005 - 474 pages
...and by describing are generated, not by any apposition of Parts, but by a continual motion of Points. Surfaces are generated by the motion of Lines, Solids...motion of Surfaces, Angles by the Rotation of their Legs, Time by a continual flux, and so in the rest. These Genèses are founded upon Nature and are... | |
| John Lane Bell - Mathematics - 2005 - 354 pages
...and by describing are generated, not by any apposition of Parts, but by a continual motion of Points. Surfaces are generated by the motion of Lines, Solids...motion of Surfaces, Angles by the rotation of their Legs, Time by a continual flux, and so in the rest? 1 Ibid., pp. 38-9. 2 De analyst, written 1666,... | |
| Giovanni Ferraro - Mathematics - 2007 - 392 pages
...and by describing are generated, not by any apposition of Parts, but by a continual motion of Points. Surfaces are generated by the motion of Lines, Solids...motion of Surfaces, Angles by the Rotation of their Legs, Time by a continual flux, and so in the rest. These Geneses are founded upon Nature, and are... | |
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