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" ... described by a continued motion. Lines are described, and thereby generated, not by the apposition of parts, but by the continued motion of points; superficies by the motion of lines; solids by the motion of superficies; angles by the rotation of... "
The Elements of the Differential Calculus: Founded on the Method of Rates Or ... - Page iii
by John Minot Rice, William Woolsey Johnson - 1874
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Sir Isaac Newton's Two Treatises: Of the Quadrature of Curves, and Analysis ...

Isaac Newton - Calculus - 1745 - 524 pages
...continued Motion of Points ; Superficies's by the Motion of Lines; Solids by the Motion of Superficies's j Angles by the Rotation of the Sides ; Portions of Time by a continual Flux : and fo in other Quantities. Thefe Genefes really take Place in the Nature of Things, and are daily feen...
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The Mathematical Correspondent: Containing New Eludications ..., Volume 1

George Baron - Mathematics - 1804 - 274 pages
...the fluxions. f * Sir I8AAC NEWTON, in the Introduction to his Quadrature of Curves, observes, that " these geneses really take place in the nature of things,...motion of bodies. And after this manner, the .ancients, b) drawing moveable right lines along immoveable right lines, taught the genesis of rectangles." •f...
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Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Volume 12

John Mason Good - 1813 - 480 pages
...the rotation of their sides, time by a continual flowing, and so in other things. These generations really take place in the nature of things, and are daily seen in the motion of bodies. The prime or ultimate ratios of maganudes, thus generated, are investigated by ob»ervtng their finite...
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De arte logistica ... libri qui supersunt [ed. by M. Napier].

John Napier - 1839 - 290 pages
...continued motion of points ; superficies by the motion of lines ; solids by the motion of superficies ; angles by the rotation of the sides ; portions of...continual flux ; and so in other quantities. These genèses really take place in the nature of things, and are daily seen in the motion of bodies. And...
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Elementary Arithmetic: With Brief Notices of Its History, Volumes 1-12

Robert Potts - Arithmetic - 1876 - 389 pages
...continued motion of points ; superficies by the motion of lines ; solids by the motion of superficies ; angles by the rotation of the sides ; portions of...continual flux ; and so in other quantities. These genèses really take place in the nature of things, and are daily seen in the motion of bodies. And...
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Elementary algebra, with brief notices of its history

Robert Potts - 1879 - 668 pages
...continued motion of points ; superficies by the motion of lines ; solids by the motion of superficies ; angles by the rotation of the sides ; portions of...continual flux ; and so in other quantities. These genèses really take place in the nature of things, .and are daily Been in the motion of bodies. And...
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Elementary algebra: with brief notices of its history

Robert Potts - Algebra - 1879 - 672 pages
...continued motion of points ; superficies by the motion of linee ; solids by the motion of superficies ; angles by the rotation of the sides; portions of time...continual flux; and so in other quantities. These genèses really take place in the nature of things, .and are daily seen in the motion of bodies. And...
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A History of Mathematics

Florian Cajori - Mathematics - 1893 - 476 pages
...of superficies; angles by the rotation of the sides; portions of time by continual flux: and so on in other quantities. These geneses really take place...things, and are daily seen in the motion of bodies. . . . " Fluxions are, as near as we please (quam proxime), as the increments of fluents generated in...
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A History of Mathematics

Florian Cajori - Mathematics - 1893 - 478 pages
...rotation of the sides ; portions of time by continual flax : and so on in other quantities. These geueses really take place in the nature of things, and are daily seen in the motion of bodies. . . . "Fluxions are, as near as we please (quam proxime), as the increments of fluents generated in...
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A History of Elementary Mathematics

Florian Cajori - Mathematics - 1898 - 512 pages
...superficies ; angles by the rotation of the sides ; portions of time by continual flux : and so on in other quantities. These geneses really take place...things, and are daily seen in the motion of bodies. . . . "Fluxions are, as near as we please (quam proxime), as the increments of fluents generated in...
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