 | Euclid - Geometry - 1765 - 492 pages
...as their bafes, which fome eafily demonftrate by the method of indivifibles ; for fince any pyramid may be conceived to be made up of an infinite number of little folids, all of the fame altitude, having all their bafes fimilar and parallel to the bafe of... | |
 | William Augustus Norton - Astronomy - 1839 - 530 pages
...decreases in density from the earth's surface upwards. We learn also from the same sources, that it may be conceived to be made up of an infinite number of strata, of decreasing density, concentric with the earth's surface. From the known pressure and density... | |
 | Scottish school-book assoc - 1845 - 444 pages
...-0795775 by the square of the circumference, the product will be the area. DEMONSTRATION. The circle may be conceived to be made up of an infinite number of small triangles, the sum of whose bases is the circumference, and the vertices being all in the centre, the... | |
 | James Thomson - 1848 - 326 pages
...small magnitudes of their own kind, any one of which is called an infinitesimal. Thus, a parallelogram may be conceived to be made up of an infinite number of infinitely small parallelograms, formed by drawing lines parallel to one of its sides. Any of these... | |
 | Edwin Clark - 1850 - 518 pages
...directly increases the line be, which it does not differ from a straight line. But the triangular prism may be conceived to be made up of an infinite number of such segments of various radii, each of which would be bisected by surfaces not appreciably differing... | |
 | Bartholomew Price - Calculus - 1852 - 588 pages
...each normal to the involute passes through two consecutive points of the evolute, the latter curve may be conceived to be made up of an infinite number of infinitesimal straight lines, each of which is a part of a normal to the involute ; thus we say that... | |
 | Thomas Tate - Mechanical engineering - 1853 - 408 pages
...good whatever may be the form of the base of the pyramid or the conical body. As every conical body may be conceived to be made up' of an infinite number of three-sided pyramids of the same height, and having their centres of gravity at the same distance from... | |
 | Henry Moseley - Architecture - 1856 - 742 pages
...passing through its centre of gravity, and parallel to one of its sides. It is evident that such a lamina may be conceived to be made up of an infinite number of slender rectangular rods of equal length, each of which will be bisected by the axis AB, and that the... | |
 | Samuel Newth - Mechanics, Analytic - 1864 - 392 pages
...These lines will intersect in a point G, which is the centre of gravity of the pyramid. The pyramid may be conceived to be made up of an infinite number of planes parallel to ABC. Let abc be such a plane. Then, since the parallel planes A_^ abc, ABC are intersected... | |
 | Henry Major - 1878 - 222 pages
...triangle will be somewhere on this line, as along the line CD in the figure below. Again the triangle may be conceived to be made up of an infinite number of straight lines parallel to either of the two remaining sides of the triangle. Therefore the centre... | |
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The pyramid may be conceived to be made up of an infinite number of planes parallel to ABC. 
