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" ... all their theorems of this kind. It is often said, that curve lines have been considered by them as polygons of an infinite number of sides. But this principle no where appears in their writings. We never find them resolving any figure, or solid,... "
The Mathematician - Page 13
1751 - 399 pages
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A treatise of fluxions, Volume 1

Colin Maclaurin - 1742 - 482 pages
...figures, and of the method by which they demonftrated all their theorems of this kind. It is often laid, that curve lines have been confidered by them as polygons of an infinite number of fides. -But this principle no where appears in their writings. We never find them refolving any figure,...
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Mathematical Tracts of the Late Benjamin Robins ...: Discourse on the ...

Benjamin Robins - 1761 - 396 pages
...methods, and in comparing them with the practice of the moderns before Sir Ifaac Newton. THUS at p. 33. " It is often faid, that curve lines " have been confidered by them as polygons of art ** infinite number of fides. But this principle no ** where appears in their writings. We never...
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Analysis fluxionum

William Hales - 1800 - 128 pages
...which the Ancients demonftrated; all their theorems for mcafuring and comparing curvilinear figures, It is often, faid that curve lines have been confidered by them as polygons of an infinite number of fides ; but this principle no-where appears in their writings : we never find them refolving any figure...
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A Treatise on Fluxions: In Two Volumes, Volume 1

Colin MacLaurin - 1801 - 506 pages
...this kind. It is often said, that curve lines have been considered by them as polygons of an infmite number of sides. But this principle no where appears in their writings. We never find them rerolving any figure, or solid, into infinitely small elements. On the contrary, they seem to avoid...
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Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Volume 5

John Mason Good - 1813 - 714 pages
...they demonstrated their theorems of thii kind. It is often said, that curve lines have been considered by them as polygons of an infinite number of sides;...where appears in their writings: we never find them resolving any figure or solid into infinitely small elements: on the contrary, they §ecm to bay»...
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