Works, Volume 3G. Bell and sons, 1898 |
From inside the book
Results 1-5 of 87
Page 24
... is rejected , be it ever so small , if it be real , and consequently makes a real error in the premises , it will produce a proportional real error in the conclusion . 24 THE ANALYST : The foregoing doctrine farther illustrated.
... is rejected , be it ever so small , if it be real , and consequently makes a real error in the premises , it will produce a proportional real error in the conclusion . 24 THE ANALYST : The foregoing doctrine farther illustrated.
Page 25
George Berkeley. will produce a proportional real error in the conclusion . Your theorems therefore cannot be accurately true , nor your problems accurately solved , in virtue of premises which them- selves are not accurate ; it being a ...
George Berkeley. will produce a proportional real error in the conclusion . Your theorems therefore cannot be accurately true , nor your problems accurately solved , in virtue of premises which them- selves are not accurate ; it being a ...
Page 26
... produced to O , and RP be drawn parallel to NO . Sup- pose AN = x , NR = y , NO = v , PS = 2 , the subsecant MN = s . Let the equation y = xx express the nature of the curve : and supposing y and x increased by their finite increments ...
... produced to O , and RP be drawn parallel to NO . Sup- pose AN = x , NR = y , NO = v , PS = 2 , the subsecant MN = s . Let the equation y = xx express the nature of the curve : and supposing y and x increased by their finite increments ...
Page 29
... produced by the rejecting of o . Which therefore must not be ascribed to the doctrine of differences , or infinitesimals , or evanescent quantities , or momentums , or fluxions . 28. Suppose the case to be general , and that " is equal ...
... produced by the rejecting of o . Which therefore must not be ascribed to the doctrine of differences , or infinitesimals , or evanescent quantities , or momentums , or fluxions . 28. Suppose the case to be general , and that " is equal ...
Page 30
... produced an error , had it not been for the curvilinear space being equal thereto , and at the same time subducted from the other part or side of the equation , agreeably to the axiom , If from equals you subduct equals , the remainders ...
... produced an error , had it not been for the curvilinear space being equal thereto , and at the same time subducted from the other part or side of the equation , agreeably to the axiom , If from equals you subduct equals , the remainders ...
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.