Works, Volume 3G. Bell and sons, 1898 |
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Page 10
... consequently of Nature . And , as it is that which hath enabled them so remarkably to outgo the ancients in discovering theorems and solving problems , the exercise and application thereof is become the main if not sole employment of ...
... consequently of Nature . And , as it is that which hath enabled them so remarkably to outgo the ancients in discovering theorems and solving problems , the exercise and application thereof is become the main if not sole employment of ...
Page 12
... consequently though multiplied infinitely shall never equal the minutest finite quantity , is , I suspect , an infinite difficulty to any man whatsoever ; and will be allowed such by those who candidly say what they think ; provided ...
... consequently though multiplied infinitely shall never equal the minutest finite quantity , is , I suspect , an infinite difficulty to any man whatsoever ; and will be allowed such by those who candidly say what they think ; provided ...
Page 19
... consequently that in the original notation x + o , o might have signified either an increment or nothing . But then , which of these soever you make it signify , you must argue consistently with such its signification , and not proceed ...
... consequently that in the original notation x + o , o might have signified either an increment or nothing . But then , which of these soever you make it signify , you must argue consistently with such its signification , and not proceed ...
Page 21
... consequently no error can arise from such rejection of infinitesimals . 19. And yet it should seem that , whatever errors are ad- mitted in the premises , proportional errors ought to be appre- hended in the conclusion , be they finite ...
... consequently no error can arise from such rejection of infinitesimals . 19. And yet it should seem that , whatever errors are ad- mitted in the premises , proportional errors ought to be appre- hended in the conclusion , be they finite ...
Page 22
... consequently BN , the increment or difference of the curve , to be a straight line coincident with the tangent , and the differential triangle BRN to be similar to the triangle TPB , the subtangent PT is found a fourth proportional to ...
... consequently BN , the increment or difference of the curve , to be a straight line coincident with the tangent , and the differential triangle BRN to be similar to the triangle TPB , the subtangent PT is found a fourth proportional to ...
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.