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" ... 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. "
Principles of the Differential and Integral Calculus ... - 172. lappuse
autors: William Ritchie - 1836 - 174 lapas
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First Lessons in Geometry: Upon the Model of Colburn's First Lessons in ...

Alpheus Crosby - 1847 - 164 lapas
...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 motion 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...
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An introduction to the differential and integral Calculus

James Thomson - 1848
...Fluxions, quantities are regarded as being generated by motion ; a line being supposed to be produced by the motion of a point, a surface by the motion of a line, and a body by the motion of a surface. The comparative velocities or rates of such motions are called...
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A Glance at the Physical Sciences, Or, The Wonders of Nature, in Earth, Air ...

Samuel Griswold Goodrich - 1852 - 352 lapas
...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 a...
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The Dictionary of Science and Technical Terms Used in Philosophy, Literature ...

W. M. Buchanan - 1884 - 819 lapas
...conetitute а solid. QrotHttrifot maynttudtt may be conceived to be generated by motion, ав а Hue by the- motion of a point ; a surface, by the motion of a line; und a »olid, by the motion of л surface. - 2. Apparent wij/Míudf U the angular »pace under which...
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Theoretical and Practical Graphics: An Educational Course on the Theory and ...

Frederick Newton Willson - 1898 - 264 lapas
...By the conception with which the draughtsman is mainly concerned, a line is considered as generated by the motion of a point; a surface by the motion of a line. He regards a straight line as generated by a point moving always in the same direction;* a curve as...
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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 - 1903 - 619 lapas
...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...
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The Fourth Dimension Simply Explained: A Collection of Essays Selected from ...

Henry Parker Manning - 1910 - 251 lapas
...triangle in 2-space, and the regular tetrahedron (regular pyramid), in 3space. 4. 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...
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