 | Thomas Simpson - 1750 - 604 lapas
...Fluxions, all Kinds of Magnitudes are to be confidered as generated by the continual Motion II of fome of their Bounds or Extremes; as a "^^ Line by the...Motion of a Point ; a Surface by the Motion of a Line j and a Solid by the Motion of a Surface. 2. Every Quantity fo generated is called a variable, or flowing... | |
 | Thomas Simpson - 1792 - 292 lapas
...Do&rine of Fluxions all kinds of magnitudes are confidered as generated by the con tinual motion of fome of their bounds or extremes ; as 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. ' So likewife time may be... | |
 | George Baron - 1804 - 318 lapas
...request cf Walter folger, jun, tucAtt. If 1. Every quantity is here considered as rated by motion ; a line by the motion of a point ; a surface by the motion of a line ; a solid by the motion of a surface.* 1 2. The quantity thus generated is called the fluent or flowing... | |
 | Thomas Simpson - 1805 - 494 lapas
...Fluxions, A all kinds of magnitudes are to be confidered as generated by the continual motion of fome of their bounds or extremes; as 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. 2. Every quantity fo generated... | |
 | Samuel Vince - 1812 - 298 lapas
...SECTION I, DEFINITIONS. \ RTICLE 1. Every quantity is here considered JL\. as generated by motion ; a line by the motion of a point ; a surface by the motion of a line ; a solid by the motion of a surface*. 2. The quantity thus generated is called the fluent, or flowing... | |
 | Thomas Curtis - 1829 - 822 lapas
...kinds are considered as generated by motion, by means of which they increase or decrease ; as a Une by the motion of a point, a surface by the motion of a line, a « lid by the motion of a surface, and an angle by the rotation of one of the lines which conta n... | |
 | Francis Lieber, Edward Wigglesworth, Thomas Gamaliel Bradford - 1831 - 650 lapas
...denote whatever ia 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 tbe motion of a surface. Tbe same term is also sometimes used in a similar sense in arithmetic and... | |
 | William Ritchie - 1836 - 198 lapas
...Mathe.matiques, torn. ii. pages 1697. (7.) According to Newton, all quantities are generated by motion. A line by the motion of a point, a surface by the motion of a line either constant or variable, and a solid by the plane either retaining the same magnitude or varying... | |
 | John Walker, Benjamin Humphrey Smart - 1836 - 810 lapas
...department of mathematics called Fluxions, in which magnitudes are supposed to bo generated by motion, as a line by the motion of a point, a surface by the motion of u Fluz'-iOQ-ar-y, a. Pertaining to fluxion. Flujr'-um-ist,*. One skilled in fluxions. FLUJT'-/VE, 105:... | |
 | John Rowbotham - 1838 - 404 lapas
...in mathematics are called fluxions, in which every quantity is supposed to be generated by motion, as a line by the motion of a point, a surface by the motion of a line, &c. Fo'-cus, s. focus, the fire place, or hearth; also, fire. The point where the rays of light... | |
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As a line is generated by the motion of a point, a surface by the motion of a line, a solid by the motion of a surface, so a fourth-dimensional body may be generated by some motion of a solid.* 5. 
