| Samuel Griswold Goodrich - Astronomy - 1844 - 352 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...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 - Geometry - 1847 - 164 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 - 80 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;... | |
| 1851
...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 - Children's literature - 1852 - 352 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...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 - Differential calculus - 1852 - 160 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
...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 - Algebra - 1879
...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,... | |
| New South Wales. Commission on primary, secondary, technical, and other branches of education - Education - 1903 - 619 pages
...surface is a line, and of a line, a point. He next proceeds to shew that, in general, a line is generated **by the motion of a point, a surface by the motion of a line, and a solid by the motion of a surface.** Explaining the notions of congruency, reciprocity, axial and central symmetry, and the nature of loci,... | |
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