 | Thomas Simpson - Calculus - 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 the Motion of a Line ; and a Solid by the Motion of a Surface. 2. Every Quantity fo generated is called a variable, or •... | |
 | Thomas Simpson - Calculus - 1776 - 598 pages
...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 the Motion of a Line ; and a Solid by the Motion of a. Surface. 2. Every Quantity fo generated is called a variable, or... | |
 | Colin Macfarquhar, George Gleig - Encyclopedias and dictionaries - 1797 - 446 pages
...publication on the fubjeft. In this branch of mathematics, magnitudes.of every Jcind are fi'.ppofed generated by motion ; a line by the motion of a point, a furface by the motion of a line, and a folid by the motion of a furface. And forne part of a figure... | |
 | Henry Kett - Encyclopedias and dictionaries - 1805 - 338 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.... | |
 | Henry Kett - Books and reading - 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.... | |
 | Charles Hutton - Mathematics - 1807 - 460 pages
...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. So likewise, time may be considered as represented by aline,... | |
 | Charles Hutton - Mathematics - 1811 - 444 pages
...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. §o likewise, time may be considered as represented by a... | |
 | Samuel Vince - Calculus - 1812 - 274 pages
...Propositions - - 202 ANNOTATIONS .... 248 THE PRINCIPLES OF FLUXIONS. SECTION I. DEFINITIONS. ARTICLE 1. Every quantity is here considered as generated...motion of a line ; a solid by the motion of a surface*. 2. The quantity thus generated is called the fluent, or flowing quantity. 3. The velocities with which... | |
 | Samuel Vince - Calculus - 1812 - 314 pages
...PRINCIPLES OF FLUXIONS. SECTION I, DEFINITIONS. \ RTICLE 1. Every quantity is here considered JL\. as generated by motion ; a line by the motion of a...motion of a line ; a solid by the motion of a surface*. 2. The quantity thus generated is called the fluent, or flowing quantity. 3. The velocities with which... | |
 | Samuel Vince - 1818 - 414 pages
...233 On the Maxima and Minima of Curves ------- 239 TREATISE ON FLUXIONS. SECTION I. DEFINITIONS. ART. 1. EVERY quantity is here considered as generated...motion of a point; a surface by the motion of a line ja solid by the motion of a surface ; an angle by the rotation of a line about one of its extremities*.... | |
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... 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. 
