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" I consider mathematical quantities in this place not as consisting of very small parts, but as described by a continued motion. Lines are described, and thereby generated, not by the apposition of parts, but by the continued motion of points... "
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
...as defcrib'd by a continued Motion. Lines are defcrib'd, and thereby generated not by the Appofition of Parts, but by the continued Motion of Points ;...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....
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Dissertation, exhibiting a general view of the progress of mathematical and ...

John Playfair - Science - 1822 - 458 pages
...place not as consisting of small parts, but as 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," &c — Quadrature of Curves, Introduction. vature at every point...
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Supplement to the Fourth, Fifth, and Sixth Editions

1824 - 878 pages
...equal to nothing, an equation will be obtained in finite terms continued motion. Lines are described and thereby generated, not by the apposition of parts, but by the continued motion of points, superfices by the motion of lines," &c.—Quadrature of Curves, Introduction. DISS. II. PART II. С...
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Elementary Arithmetic: With Brief Notices of Its History, Volumes 1-12

Robert Potts - Arithmetic - 1876 - 389 pages
...consisting of very small parts, but as described by a continued motion. Lines are described, and therefore 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...
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Elementary Arithmetic: With Brief Notices of Its History, Volumes 1-12

Robert Potts - Arithmetic - 1876 - 392 pages
...consisting of very small parts, but as described by a continued motion. Lines are described, and therefore 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...
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Elementary algebra, with brief notices of its history

Robert Potts - 1879 - 668 pages
...consisting of very small parts, but as described by a continued motion. Lines are described, and therefore 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...
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Elementary algebra: with brief notices of its history

Robert Potts - Algebra - 1879 - 672 pages
...consisting of very small parts, but as described by a continued motion. Lines are described, and therefore generated not by the apposition of parts, but by the continued motion of points ; superficies by the motion of linee ; solids by the motion of superficies ; angles by the rotation...
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A History of Mathematics

Florian Cajori - Mathematics - 1893 - 476 pages
...not as consisting of very small parts, but as 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...
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A History of Elementary Mathematics

Florian Cajori - Mathematics - 1898 - 512 pages
...not as consisting of very small parts, but as 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...
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The History of Mathematics in Europe: From the Fall of Greek Science to the ...

John William Navin Sullivan - Mathematics - 1925 - 122 pages
...not as consisting of very small parts, but as described by a continued motion. Lines are described and thereby generated, not by the apposition of parts, but by the continued motion of points ; superfices by the motion of lines ; solids by the motion of superfices ; angles by the rotation of...
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