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" I. The length of the space describ'd being continually (that is, at all times) given; to find the velocity of the motion at any time propos'd. "
Sir Isaac Newton's Two Treatises: Of the Quadrature of Curves and Analysis ... - Page 34
by Sir Isaac Newton - 1745 - 479 pages
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The Mathematician

Geometry - 1751 - 399 pages
...now called, amounts to this mechanical Problem, the "Length of the Space defcribed being continually given, to find the Velocity of the Motion at any 'Time propofed. Allb the inverfe Method of Fluxions has for its Foundation, the Reverfe of this Problem, which is,...
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A History of Mathematics

Florian Cajori - Mathematics - 1893 - 422 pages
...to speak, of the abstract calculus : — "I. The length of the space described being continually (ie at all times) given ; to find the velocity of the motion at any time proposed. " II. The velocity of the motion being continually given ; to find the length of the space...
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A History of Elementary Mathematics

Florian Cajori - Mathematics - 1898 - 422 pages
...speak, of the abstract calculus : — " I. The length of the space described being continually (ie at all times) given ; to find the velocity of the motion at any time proposed. " II. The velocity of the motion being continually given ; to find the length of the space...
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The Newtonian Revolution

I. Bernard Cohen - Science - 1983 - 404 pages
...any how accelerated or retarded': I. The length of the Space described being continually (that is, at all times) given; to find the velocity of the motion at any time proposed. II. The velocity of the motion being continually given; to find the length of the Space described...
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The Nature of Mathematical Knowledge

San Diego Philip Kitcher Professor of Philosophy University of California - Mathematics - 1983 - 300 pages
...Motion, any how accelerated or retarded. I. The length of the space describ'd being continually (that is, at all times) given; to find the velocity of the motion at any time propos'd. II. The velocity of the motion being continually given; to find the length of the Space describ'd...
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Berkeley's Philosophy of Mathematics

Douglas M. Jesseph - Mathematics - 1993 - 322 pages
...Motion, any how accelerated or retarded. I. The length of the space describ'd being continually (that is, at all times) given; to find the velocity of the motion at any time propos'd. II. The velocity of the motion being continually given; to find the length of the Space describ'd...
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