Works, Volume 3G. Bell and sons, 1898 |
From inside the book
Results 1-5 of 77
Page 7
... thereof ordinates and areas intro- duced . Analogies and expressions useful in the modern quadra- tures , may yet be useless for enabling us to conceive fluxions . No right to apply the rules without knowledge of the principles . 48 ...
... thereof ordinates and areas intro- duced . Analogies and expressions useful in the modern quadra- tures , may yet be useless for enabling us to conceive fluxions . No right to apply the rules without knowledge of the principles . 48 ...
Page 10
... thereof is become the main if not sole employment of all those who in this age pass for pro- found geometers . But whether this method be clear or obscure , consistent or repugnant , demonstrative or pre- carious , as I shall inquire ...
... thereof is become the main if not sole employment of all those who in this age pass for pro- found geometers . But whether this method be clear or obscure , consistent or repugnant , demonstrative or pre- carious , as I shall inquire ...
Page 17
... thereof , is retained . Which , by the foregoing lemma , is a false way of reasoning . Certainly when we suppose the increments to vanish , we must suppose their proportions , their expressions , and everything else derived from the ...
... thereof , is retained . Which , by the foregoing lemma , is a false way of reasoning . Certainly when we suppose the increments to vanish , we must suppose their proportions , their expressions , and everything else derived from the ...
Page 27
... thereof gave the value of the subtangent . This is the true state of the case , however it may be disguised . And to this in reality it amounts , and is at bottom the same thing , if we should pretend to find the subtangent by having ...
... thereof gave the value of the subtangent . This is the true state of the case , however it may be disguised . And to this in reality it amounts , and is at bottom the same thing , if we should pretend to find the subtangent by having ...
Page 31
... thereof ; another which includes the expression of the increment itself ; and the third including the expression of the powers of the increment . The geometrical quantity also or whole increased area consists of three parts or members ...
... thereof ; another which includes the expression of the increment itself ; and the third including the expression of the powers of the increment . The geometrical quantity also or whole increased area consists of three parts or members ...
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.