Works, Volume 3G. Bell and sons, 1898 |
From inside the book
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Page 10
... motion of points , planes by the motion of lines , and solids by the motion of planes . And whereas quantities generated in equal times are greater or lesser according to the greater or lesser velocity wherewith they increase and are ...
... motion of points , planes by the motion of lines , and solids by the motion of planes . And whereas quantities generated in equal times are greater or lesser according to the greater or lesser velocity wherewith they increase and are ...
Page 11
George Berkeley. velocities of their generating motions . And such velocities are called fluxions : and the quantities generated are called flowing quantities . These fluxions are said to be nearly as the increments of the flowing ...
George Berkeley. velocities of their generating motions . And such velocities are called fluxions : and the quantities generated are called flowing quantities . These fluxions are said to be nearly as the increments of the flowing ...
Page 14
... motion : and that the momentaneous increments of the sides A and B are a and b . When the sides A and B were deficient , or lesser by one half of their moments , the rectangle was A – la × B – 1b , i.e. , A B – ža Bb A + a b . And as ...
... motion : and that the momentaneous increments of the sides A and B are a and b . When the sides A and B were deficient , or lesser by one half of their moments , the rectangle was A – la × B – 1b , i.e. , A B – ža Bb A + a b . And as ...
Page 36
... motion of a point continually accelerated , and that in equal particles of time the unequal parts KL , LM , MN , NO , & c . are generated . Suppose also that a , b , c , d , e , & c . denote the velocities of the generating point , at ...
... motion of a point continually accelerated , and that in equal particles of time the unequal parts KL , LM , MN , NO , & c . are generated . Suppose also that a , b , c , d , e , & c . denote the velocities of the generating point , at ...
Page 44
... motion be not most abstractedly meta- physical ? Whether it be possible for us to measure , compute , or know them ? Qu . 9. Whether mathematicians do not engage themselves in disputes and paradoxes concerning what they neither do nor ...
... motion be not most abstractedly meta- physical ? Whether it be possible for us to measure , compute , or know them ? Qu . 9. Whether mathematicians do not engage themselves in disputes and paradoxes concerning what they neither do nor ...
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.