Works, Volume 3G. Bell and sons, 1898 |
From inside the book
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Page 5
... increments of flowing quantities difficult to conceive . Fluxions of different orders . Second and third fluxions obscure mysteries . 5. Differences , i.e. increments or decrements infinitely small , used by foreign mathematicians ...
... increments of flowing quantities difficult to conceive . Fluxions of different orders . Second and third fluxions obscure mysteries . 5. Differences , i.e. increments or decrements infinitely small , used by foreign mathematicians ...
Page 6
... increments . 27. In the foregoing case , the supposed evanescent increment is really a finite quantity , destroyed by an equal quantity with an opposite sign . 28. The foregoing case put generally . Algebraical expressions com- pared ...
... increments . 27. In the foregoing case , the supposed evanescent increment is really a finite quantity , destroyed by an equal quantity with an opposite sign . 28. The foregoing case put generally . Algebraical expressions com- pared ...
Page 7
... increments , whether finite or nascent , proportional to their respective velocities . 42. Time supposed to be divided into moments : increments generated in those moments : and velocities proportional to those incre- ments . 43 ...
... increments , whether finite or nascent , proportional to their respective velocities . 42. Time supposed to be divided into moments : increments generated in those moments : and velocities proportional to those incre- ments . 43 ...
Page 11
... increments . Sometimes , instead of velocities , the momentaneous increments or decrements of undetermined flowing quantities are considered , under the appellation of moments . 4. By moments we are not to understand finite particles ...
... increments . Sometimes , instead of velocities , the momentaneous increments or decrements of undetermined flowing quantities are considered , under the appellation of moments . 4. By moments we are not to understand finite particles ...
Page 12
... increments are generated , they consider the increments or decrements themselves , which they call differences , and which are supposed to be infinitely small . The difference of a line is an infinitely little line ; of a plane an ...
... increments are generated , they consider the increments or decrements themselves , which they call differences , and which are supposed to be infinitely small . The difference of a line is an infinitely little line ; of a plane an ...
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.