| Thomas Simpson - Calculus - 1750 - 302 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 - Calculus - 1776 - 576 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 - Encyclopedias and dictionaries - 1805
...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 - Books and reading - 1805
...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 - Mathematics - 1811
...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... | |
| James Mitchell - Mathematics - 1823 - 576 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 - Industrial arts - 1828
...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 - Encyclopedias and dictionaries - 1835
...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... | |
| Roswell Park - Best books - 1841 - 587 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... | |
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