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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... "
A Course of Mathematics: For the Use of Academies, as Well as Private Tuition - Page 297
by Charles Hutton - 1831
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A Glance at the Physical Sciences, Or, The Wonders of Nature, in Earth, Air ...

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...
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First Lessons in Geometry: Upon the Model of Colburn's First Lessons in ...

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...
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Pantology; or, A systematic survey of human knowledge

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;...
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A POPULAR DICTIONARY OF ARTS, SCIENCES, LITERATURE, HISTORY, POLITICS AND ...

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...
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A Glance at the Physical Sciences, Or, The Wonders of Nature, in Earth, Air ...

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...
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The elements of the differential calculus

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,...
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Elementary algebra, with brief notices of its history

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,...
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Elementary Algebra: With Brief Notices of Its History

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,...
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Interim Report of the Commissioners on Certain Parts of Primary Education ...

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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