 | Samuel Vince - Calculus - 1812 - 274 pages
...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 - Calculus - 1812 - 314 pages
...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 - 484 pages
...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 pages
...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) - Scotland - 1839 - 288 pages
...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 - 292 pages
...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 - Differential calculus - 1874 - 88 pages
...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 - Arithmetic - 1876 - 392 pages
...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 - Arithmetic - 1876 - 389 pages
...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 - Algebra - 1879 - 668 pages
...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... 
