 | Samuel Vince - 1812 - 274 lapas
...uniformly generated in a given time, such increments or decrements will represent the fluxionsf . * SIR I. NEWTON, in the introduction to his Quadrature of Curves,...motion of bodies. And after this manner the ancients, by drawing moveable right lines along immoveable right lines, taught the genesis of rectangles." f... | |
 | Samuel Vince - 1812 - 298 lapas
...decrements will represent the fluxionsf . * SIB I. NEWTON, in the introduction to his ^uaJraturt ef Curves, observes, that " these geneses really take...motion of bodies. And after this manner the ancients, by drawing moveable right lines along immoveable right lines, taught the genesis of rectangles." t... | |
 | John Mason Good - 1813 - 480 lapas
...the rotation of their sides, time by a continual flowing, and so in other things. These generations really take place in the nature of things, and are daily seen in the motion of bodies. The prime or ultimate ratios of maganudes, thus generated, are investigated by ob»ervtng their finite... | |
 | Samuel Vince - 1818 - 414 lapas
...t. * SIR J. NEWTON, iu the introduction to his Quadrature of Curves, observes that " these genèses really take place in the nature of things, and are...motion of bodies. And after this manner, the ancients, by drawing moveable right lines along immoveable right lines, taught the genesis of rectangles." *f-... | |
 | Bannatyne Club (Edinburgh, Scotland) - 1839 - 288 lapas
...angles by the rotation of the sides ; portions of time by a continual flux ; and so in other quantities. These geneses really take place in the nature of things,...motion of bodies. And after this manner the ancients, by drawing moveable right lines along immoveable right lines, taught the genesis of rectangles. Therefore,... | |
 | John Napier - 1839 - 290 lapas
...rotation of the sides ; portions of time by a continual flux ; and so in other quantities. These genèses really take place in the nature of things, and are...motion of bodies. And after this manner the ancients, by drawing moveable right lines along immoveable right lines, taught the genesis of rectangles. Therefore,... | |
 | John Minot Rice, William Woolsey Johnson - 1874 - 88 lapas
...Angles by the Rotation of the Sides ; Portions of Time by a continual Flux: and. so in other Quantities. These Geneses really take Place in the Nature of Things,...Motion of Bodies. And after this Manner the Ancients, by drawing moveable right Lines along immoveable right Lines, taught the Genesis of Rectangles. 2.... | |
 | Robert Potts - 1876 - 392 lapas
...angles by the rotation of the sides ; portions of time by a continual flux ; and so in other quantities. These geneses really take place in the nature of things,...motion of bodies. And after this manner the ancients, by drawing moveable right lines along immoveable right lines, taught the genesis of rectangles. Therefore,... | |
 | Robert Potts - 1876 - 389 lapas
...rotation of the sides ; portions of time by a continual flux ; and so in other quantities. These genèses really take place in the nature of things, and are...motion of bodies. And after this manner the ancients, by drawing rnoveable right lines along immoveable right lines, taught the genesis of rectangles. Therefore,... | |
 | Robert Potts - 1879 - 672 lapas
...rotation of the sides; portions of time by a continual flux; and so in other quantities. These genèses really take place in the nature of things, .and are...motion of bodies. And after this manner the ancients, by drawing moveable right lines along immoveable right Unes, taught the genesis of rectangles. Therefore... | |
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Lines are described, and therefore generated not by the apposition of parts, but by the continued motion of points ; superficies by the motion of lines ; solids by the motion of superficies ; angles by the rotation of the sides ; portions of time by a... 
