 | Roswell Park - 1847 - 632 lapas
...themselves : hence he 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 motion of a line; and a solid by the motion of a surface. This idea of magnitudes moving, or flowing, led him to propose... | |
 | Alpheus Crosby - 1847 - 192 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... | |
 | James Thomson - 1848 - 326 lapas
...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... | |
 | Samuel Griswold Goodrich - 1852 - 372 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... | |
 | W. M. Buchanan - 1884 - 858 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... | |
 | Frederick Newton Willson - 1898 - 322 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... | |
 | New South Wales. Commission on primary, secondary, technical, and other branches of education - 1903 - 634 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... | |
 | Henry Parker Manning - 1910 - 266 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... | |
 | Henry Parker Manning - 1921 - 320 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... | |
 | Ivor Blashka Hart - 1924 - 330 lapas
...quantities could be regarded as being generated by a continuous flow or motion. Thus 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, and so on. That being so, Newton next went on to speak of the speed... | |
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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. 
