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" The pyramid may be conceived to be made up of an infinite number of planes parallel to ABC. "
Key to System of practical mathematics. 2 pt. No.xvii - Side 149
av Scottish school-book assoc - 1845
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Euclid's Elements of Geometry: The First Six, the Eleventh and Twelfth Books

Euclid - 1765 - 492 sider
...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...
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An Elementary Treatise on Astronomy: In Four Parts. Containing a Systematic ...

William Augustus Norton - 1839 - 530 sider
...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...
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A system of practical mathematics; being no.xvi. of a new series of school-books

Scottish school-book assoc - 1845 - 444 sider
...-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...
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An introduction to the differential and integral Calculus

James Thomson - 1848 - 326 sider
...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...
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The Britannia and Conway tubular bridges, with general ..., Volum 1;Volum 127

Edwin Clark - 1850 - 518 sider
...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...
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A treatise on infinitesimal calculus, Volum 1

Bartholomew Price - 1852 - 588 sider
...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...
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The Principles of Mechanical Philosophy Applied to Industrial Mechanics ...

Thomas Tate - 1853 - 408 sider
...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...
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The Mechanical Principles of Engineering and Architecture

Henry Moseley - 1856 - 742 sider
...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...
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The Elements of Mechanics, Including Hydrostatics: with Numerous Examples

Samuel Newth - 1864 - 392 sider
...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...
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Mechanics. 1st (-3rd) year

Henry Major - 1878 - 222 sider
...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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