 | Roswell Park - 1841 - 722 pages
...proposed for this branch the name above given. Newton considered all quantities as generated by motion ; a line by the motion of a point ; a surface by the...of a line ; and a solid by the motion of a surface. This idea of magnitudes moving, or flowing, led him to propose for this new science, the name of Fluxions... | |
 | Samuel Griswold Goodrich - 1844 - 370 pages
...fluxions. In the doctrine of fluxions, magnitudes or quantities of all kinds are considered as not made up of a number of small parts, but as generated by...all kinds whatever, which are capable of increase or decrease, may, in like manner, be represented by lines, surfaces, or solids, considered as generated... | |
 | Alpheus Crosby - 1847 - 192 pages
...auxiliary. Thus, each of the magnitudes of extension may be regarded as produced by the motion of its limit; a line, by the motion of a point; a surface, by the...of a line; and a solid, by the motion of a surface. II. A. a.) Draw, between the points A and B, a line of which the direction shall be everywhere the... | |
 | Roswell Park - 1847 - 632 pages
...proposed for this branch the name above given. Newton considered all quantities as generated by motion ; a line by the motion of a point; a surface by the...of a line; and a solid by the motion of a surface. This idea of magnitudes moving, or flowing, led him to propose for this new science, the name of Fluxions;... | |
 | Francis Lieber - 1851 - 630 pages
...farmed by She motion of a point, line or surface. Thus a line is said to be generated by the •notion of a point ; a surface, by the motion of a line, and a solid, by the motion of a surface. The same term is also sometimes used in a similar sense in arithmetic and algebra. Thus 20 is said... | |
 | Samuel Griswold Goodrich - 1852 - 372 pages
...orjhurions. In the doctrine of fluxions, magnitudes or quantities of all kinds are considered as not made up of a number of small parts, but as generated by...all kinds whatever, which are capable of increase or decrease, may, in like manner, be represented by lines, surfaces, or solids, considered as generated... | |
 | Wesley Stoker B. Woolhouse - 1852 - 202 pages
...supposed to be generated by the motion, or flowing, of a point, a surface is supposed to be generated by the motion of a line, and a solid by the motion of a surface. It should be observed however that our preconceived notions as to the estimation of velocities of movement,... | |
 | Robert Potts - 1879 - 668 pages
...motion, as, for instance, of geometrical magnitudes, a line by the motion of a point ; a superficies by the motion of a line ; and a solid by the motion of a surface ; and these motions may be supposed to commence at any point of a line, or at any line of a surface,... | |
 | Robert Potts - 1879 - 672 pages
...motion, as, for instance, of geometrical magnitudes, a line by the motion of a point ; a superficies • by the motion of a line ; and a solid by the motion of a surface ; and these motions may be supposed to commence at any point of a line, or at any line of a surface,... | |
 | American Mathematical Society - 1928 - 876 pages
...Newton, see an illuminating article by A. De Morgan, Philosophical Magazine, (4), vol. 4 (1852), p. 321. a surface by the motion of a line; and a solid by the motion of a surface. Every quantity so generated is called a variable or flowing quantity; and the magnitude by which any... | |
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... small parts, but as generated by continued motion, by means of which they increase or decrease ; as a line by the motion of a point ; a surface by the motion of a line ; and a solid by the motion of a surface. 
