Works, Volume 3G. Bell and sons, 1898 |
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Page 6
... space : nor their pro- portions to be investigated or considered exclusively of time and space . 32. Difficult and obscure points constitute the principles of the modern Analysis , and are the foundation on which it is built . 33. The ...
... space : nor their pro- portions to be investigated or considered exclusively of time and space . 32. Difficult and obscure points constitute the principles of the modern Analysis , and are the foundation on which it is built . 33. The ...
Page 7
... space . 44. Fluxions of all orders inconceivable . 45. Signs or exponents confounded with the fluxions . 46. Series of expressions or of notes easily contrived . Whether a series of mere velocities , or of mere nascent increments ...
... space . 44. Fluxions of all orders inconceivable . 45. Signs or exponents confounded with the fluxions . 46. Series of expressions or of notes easily contrived . Whether a series of mere velocities , or of mere nascent increments ...
Page 28
... space CFH to be goo , then 2x0 + 00 = yo + qoo , which divided by o give 2x + 0 = y + qo . And , supposing o to vanish , 2x = y , in which case ACH will be a straight line , and the areas ABC , CFH triangles . Now with regard to this ...
... space CFH to be goo , then 2x0 + 00 = yo + qoo , which divided by o give 2x + 0 = y + qo . And , supposing o to vanish , 2x = y , in which case ACH will be a straight line , and the areas ABC , CFH triangles . Now with regard to this ...
Page 30
... space CFH is equal to the rejectaneous quantity nn - n 00x2 + & c . , 2 and that when this is rejected on one side , that is rejected on the other , the reasoning becomes just and the conclusion true . And it is all one whatever ...
... space CFH is equal to the rejectaneous quantity nn - n 00x2 + & c . , 2 and that when this is rejected on one side , that is rejected on the other , the reasoning becomes just and the conclusion true . And it is all one whatever ...
Page 31
... space . And , com- paring the homologous or correspondent members on both sides , we find that as the first member of the expression is the expression of the given area , so the second member of the expression will express the rectangle ...
... space . And , com- paring the homologous or correspondent members on both sides , we find that as the first member of the expression is the expression of the given area , so the second member of the expression will express the rectangle ...
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.