 | Thomas Simpson - 1750 - 304 pages
...Magnitudes are to be confidered as generated by the continual Motion of fume of their Bounds or Extremes; as a Line by the Motion of a Point ; a Surface by...of a Line ; and a Solid by the Motion of a Surface. 2. Every Quantity fo generated is called a variable, or • flowing Quantity : And the Magnitude by... | |
 | Thomas Simpson - 1776 - 598 pages
...Magnitudes are to be confidered as generated by the continual Moción of fomc of their Bounds or Extremes ; as a Line by the Motion of a Point ; a Surface by...a Line ; and a Solid by the Motion of a. Surface. 2. Every Quantity fo generated is called a variable, or flowing Quantity : And the Magnitude by which... | |
 | Henry Kett - 1805 - 340 pages
...magnitudes or quantities are supposed to be generated by motion. Thus, a line is supposed to be generated by the motion of a point, a surface by the motion of a line, and a solid by the motion of a surface. Algebra and geometry lend their aid to this sublime science. Mixed mathematics, which constitute the... | |
 | Henry Kett - 1805 - 340 pages
...magnitudes or quantities are supposed to be generated by motion. Thus, a line is supposed to be generated by the motion of a point, a surface by the motion of a line, and a solid by the motion of a surface. Algebra and geometry lend their aid to this sublime science. Mixed mathematics, which constitute die... | |
 | Charles Hutton - 1811 - 442 pages
...Doctrine of Fluxions, magnitudes or quantities of all kinds are considered, not as made up of a number pf small parts, but as generated by continued motion,...of a line ; and a solid by the motion of a surface. §o likewise, time may be considered as represented by a line, increasing uniformly by the motion of... | |
 | Charles Hutton - 1822 - 680 pages
...PRINCIPLES. Art. 1. In the Doctrine of Fluxions, magnitudes or quantities of all kinds are considered, not as made up of a number of small parts, but as generated...likewise, time may be considered as represented by aline, increasing uniformly by the motion of a point And quantities of all kinds whatever, which are... | |
 | James Mitchell - 1823 - 666 pages
...which constitute a body <or solid. Geometrical MAGNITUDES, may be conceived to be generated by motion, as a line by the motion of a point, a surface by the...of a line, and a solid by the motion of a surface. Apparent MAGNITUDE of a body, is thai which is measured by the angle which that body subtends at the... | |
 | Perry Fairfax Nursey - 1828 - 410 pages
...every magnitude and figure is supposed to be formed by motion ; a line . by the motion of a point, si surface by the motion of a line, and a solid by the motion of a surface. It is evident, from this consideration, that the curve or solid thus formed continually changes its... | |
 | Francis Lieber, Edward Wigglesworth, Thomas Gamaliel Bradford - 1831 - 642 pages
...denote whatever is formed by the motion of a point, line or surface. Thus a line is said to be generated by the motion 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... | |
 | Francis Lieber, Edward Wigglesworth - 1835 - 630 pages
...surface. Thus a line is said to be generated by the motion of a point ; a surface, by the mo• '< >n 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... | |
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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 continued motion, by means of which they increase or decrease ; as a line by the motion of a point ; a surface... 
