Works, Volume 3G. Bell and sons, 1898 |
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Page 5
... observed , whether men argue in symbols or in words . 16. An hypothesis being destroyed , no consequence of such hypothesis to be retained . 17. Hard to distinguish between evanescent increments and infinitesimal differences.
... observed , whether men argue in symbols or in words . 16. An hypothesis being destroyed , no consequence of such hypothesis to be retained . 17. Hard to distinguish between evanescent increments and infinitesimal differences.
Page 6
... observations thereupon . 26. Ordinate found from the area by means of evanescent increments . 27. In the foregoing case , the supposed evanescent increment is really a finite quantity , destroyed by an equal quantity with an opposite ...
... observations thereupon . 26. Ordinate found from the area by means of evanescent increments . 27. In the foregoing case , the supposed evanescent increment is really a finite quantity , destroyed by an equal quantity with an opposite ...
Page 20
... observe that the method for finding the fluxion of a rectangle of two flowing quantities , as it is set forth in the Treatise of Quadratures , differs from the above - mentioned taken from the second book of the Principles , and is in ...
... observe that the method for finding the fluxion of a rectangle of two flowing quantities , as it is set forth in the Treatise of Quadratures , differs from the above - mentioned taken from the second book of the Principles , and is in ...
Page 21
... observe as to the method of getting rid of such quantities , that it is done without the least ceremony . As in fluxions the point of first importance , and which paves the way to the rest , is to find the fluxion of a product of two ...
... observe as to the method of getting rid of such quantities , that it is done without the least ceremony . As in fluxions the point of first importance , and which paves the way to the rest , is to find the fluxion of a product of two ...
Page 24
... observe , in the first place , that the conclusion comes out right , not because the rejected square of dy was infinitely small , but because this error was compensated by another contrary and equal error . I observe , in the second ...
... observe , in the first place , that the conclusion comes out right , not because the rejected square of dy was infinitely small , but because this error was compensated by another contrary and equal error . I observe , in the second ...
Common terms and phrases
abscissa acid admitted æther Analyst animal answer Aristotle balsam Berkeley Berkeley's better bodies cause circulation Cloyne commerce conceive consequently considered cure demonstration distemper diuretic Divine doctrine of fluxions doth drink Dublin Edited effect England equal error evanescent expression fevers finite quantities fire flowing quantities foreign geometry hath human increments industry infidels infinitely small infinitesimal Ireland isochronal kingdom labour less light manufactures mathematicians mathematics medicine method method of fluxions mind momentum motion nascent national bank nature nevertheless obscure observed opinion particles phænomena philosophers Plato Plotinus prejudices principles produce proportion reader reason rectangle religion saith salts scurvy sect sense shew similar triangles Sir Isaac Newton sophism soul spirit subducted subtangent supposed supposition tar-water Theophrastus thereof things third fluxions tion trade Translated triangle true truth vegetable velocities virtue vols Walton wealth whence wherein whole
Popular passages
Page 388 - I went by the field of the slothful, and by the vineyard of the man void of understanding ; and, lo, it was all grown over with thorns, and nettles had covered the face thereof, and the stone wall thereof was broken down.
Page 390 - Yet a little sleep, a little slumber, a little folding of the hands to sleep ; so shall thy poverty come as one that travelleth, and thy want as an armed man.