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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 therefore generated not by the apposition of parts, but by the continued motion of points ; superficies... "
The Mathematician - Page 193
1751 - 399 pages
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Sir Isaac Newton's Two Treatises: Of the Quadrature of Curves, and Analysis ...

Isaac Newton - 1745 - 524 pages
...very fmall Parts ; but 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 ; Superficies's by the Motion of Lines; Solids by the Motion of Superficies's j Angles by the Rotation...
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The Works of John Playfair ...: With a Memoir of the Author ...

John Playfair - 1822 - 464 pages
...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; it could measure the length of any...
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Publications, Issue 62

Bannatyne Club (Edinburgh, Scotland) - 1839 - 288 pages
...described by a continued motion. Lines are described, and therefore generated, not by the opposition of parts, but by the continued motion of points ; superficies by the motion of lines ; soh'ds by the motion of superficies ; angles by the rotation of the sides ; portions of time by a...
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De arte logistica ... libri qui supersunt [ed. by M. Napier].

John Napier - 1839 - 290 pages
...described by a continued motion. Lines are described, and therefore generated, not by the opposition 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 sides ; portions of time by a...
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Elementary Arithmetic: With Brief Notices of Its History, Volumes 1-12

Robert Potts - 1876 - 392 pages
...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 of the sides ; portions of time by a...
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Elementary Arithmetic: With Brief Notices of Its History, Volumes 1-12

Robert Potts - 1876 - 389 pages
...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 of the sides ; portions of time by a...
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Elementary algebra, with brief notices of its history

Robert Potts - 1879 - 668 pages
...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 of the sides ; portions of time by a...
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Elementary algebra: with brief notices of its history

Robert Potts - 1879 - 672 pages
...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 of the sides; portions of time...
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A History of Elementary Mathematics

Florian Cajori - 1898 - 512 pages
...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 sides ; portions of time by continual...
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Mathematical Thought from Ancient to Modern Times: Volume 1

Morris Kline - 1990 - 434 pages
...described by a continual 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 motions of superficies; angles by the rotation of the sides; portions of time by continued...
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