Works, Volume 3G. Bell and sons, 1898 |
From inside the book
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Page 5
... reason to be 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.
... reason to be 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 9
... reason , to be most conversant about distinct ideas , and never to take things upon trust , but always clearly to see your way , as men whose constant employment is the deducing truth by the justest inference from the most evident ...
... reason , to be most conversant about distinct ideas , and never to take things upon trust , but always clearly to see your way , as men whose constant employment is the deducing truth by the justest inference from the most evident ...
Page 16
... reason for it , or show it to be geometrical . 12. From the foregoing principle , so demonstrated , the general rule for finding the fluxion of any power of a flowing quantity is derived . ' But , as there seems to have been some inward ...
... reason for it , or show it to be geometrical . 12. From the foregoing principle , so demonstrated , the general rule for finding the fluxion of any power of a flowing quantity is derived . ' But , as there seems to have been some inward ...
Page 17
... reason- ing , and propose it in a fuller light to your view . It amounts therefore to this , or may in other words be thus expressed . I suppose that the quantity x flows , and by flowing is increased , and its increment I call o , so ...
... reason- ing , and propose it in a fuller light to your view . It amounts therefore to this , or may in other words be thus expressed . I suppose that the quantity x flows , and by flowing is increased , and its increment I call o , so ...
Page 19
... reason are still the same . Nor can it be supposed you will plead a privilege in mathematics to be exempt from them . 16. If you assume at first a quantity increased by nothing , and in the expression x + o , o stands for nothing , upon ...
... reason are still the same . Nor can it be supposed you will plead a privilege in mathematics to be exempt from them . 16. If you assume at first a quantity increased by nothing , and in the expression x + o , o stands for nothing , upon ...
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.