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" ... by the motion of lines ; solids by the motion of superficies ; 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, and are daily seen in... "
The Mathematical Correspondent: Containing, New Elucidations, Discoveries ... - Σελίδα 118
των George Baron - 1804
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The Principles of Fluxions: Designed for the Use of Students in the University

Samuel Vince - 1812 - 274 σελίδες
...the introduction to his Quadrature of Curves, observes, that " these geneses really take place in the nature of things, and are daily seen in the motion of bodies. And after this manner the ancients, by drawing moveable right lines along immoveable right lines, taught the genesis of rectangles." f...

Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Τόμος 12

John Mason Good - 1813 - 480 σελίδες
...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...

Publications, Τεύχος 62

Bannatyne Club (Edinburgh, Scotland) - 1839 - 288 σελίδες
...portions of time by a continual flux ; and so in other quantities. These geneses really take place in the nature of things, and are daily seen in the motion of bodies. And after this manner the ancients, by drawing moveable right lines along immoveable right lines, taught the genesis of rectangles. Therefore,...

De arte logistica ... libri qui supersunt [ed. by M. Napier].

John Napier - 1839 - 290 σελίδες
...portions of time by a continual flux ; and so in other quantities. These genèses really take place in the nature of things, and are daily seen in the motion of bodies. And after this manner the ancients, by drawing moveable right lines along immoveable right lines, taught the genesis of rectangles. Therefore,...

De arte logistica Joannis Naperi Merchistonii baronis libri qui supersunt

John Napier - 1839 - 310 σελίδες
...portions of time by a continual flux ; and so in other quantities. These geneses really take place in the nature of things, and are daily seen in the motion of bodies. And after this manner the ancients, by drawing moveable right lines along immoveable right lines, taught the genesis of rectangles. Therefore,...

The Elements of the Differential Calculus: Founded on the Method of Rates Or ...

John Minot Rice, William Woolsey Johnson - 1874 - 88 σελίδες
...Portions of Time by a continual Flux: and. so in other Quantities. These Geneses really take Place in the Nature of Things, and are daily seen in the Motion of Bodies. And after this Manner the Ancients, by drawing moveable right Lines along immoveable right Lines, taught the Genesis of Rectangles. 2....

Elementary Arithmetic: With Brief Notices of Its History, Τόμοι 1-12

Robert Potts - 1876 - 389 σελίδες
...portions of time by a continual flux ; and so in other quantities. These genèses really take place in the nature of things, and are daily seen in the motion of bodies. And after this manner the ancients, by drawing rnoveable right lines along immoveable right lines, taught the genesis of rectangles. Therefore,...

Elementary Arithmetic: With Brief Notices of Its History, Τόμοι 1-12

Robert Potts - 1876 - 392 σελίδες
...portions of time by a continual flux ; and so in other quantities. These geneses really take place in the nature of things, and are daily seen in the motion of bodies. And after this manner the ancients, by drawing moveable right lines along immoveable right lines, taught the genesis of rectangles. Therefore,...

Elementary algebra: with brief notices of its history

Robert Potts - 1879 - 672 σελίδες
...portions of time by a continual flux; and so in other quantities. These genèses really take place in the nature of things, .and are daily seen in the motion of bodies. And after this manner the ancients, by drawing moveable right lines along immoveable right Unes, taught the genesis of rectangles. Therefore...

A History of Mathematics

Florian Cajori - 1893 - 476 σελίδες
...portions of time by continual flux: and so on in other quantities. These geneses really take place in the nature of things, and are daily seen in the motion of bodies. . . . " Fluxions are, as near as we please (quam proxime), as the increments of fluents generated in...




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