 | John Dougall - 1810 - 734 σελίδες
...a pyramid U oqe third part of a prism of such a description, consequently a tone is one third part of a cylinder on the same base and of the same altitude. If, therefore, it were required to find the solidity of a cone whose base was 20 inches in diameter,... | |
 | Claude Buffier - 1838 - 224 σελίδες
...c. 4, note. them those motions that seemed best to him."* That what is signified by the "third part of a Cylinder, on the same base, and of the same altitude," agrees with what is signified by "equal to a Cone," is admitted, and the proposition affirming it is... | |
 | Popular encyclopedia - 1879 - 514 σελίδες
...directions. (See CONIC SECTIONS.) The cubical content of a right circular cone is onethird of that of a cylinder on the same base and of the same altitude. The cubical content of the cone is therefore found by multiplying the area of the base by the altitude,... | |
 | Isaac Sharpless - 1879 - 282 σελίδες
...hypotenuse, D its middle point. Then (last Scholium), teQOB)-AOx' CB Corollary 2.—A cone is one third of a cylinder on the same base and of the same altitude. Proposition 22. Theorem.—The area of the convex surface of the frustum of a cone is equal fo the... | |
 | Oxford univ, local exams - 1885 - 358 σελίδες
...the following loci : (i) (z) 1l. Shew that the volume of a cone on a plane base is one third of that of a cylinder on the same base and of the same altitude. MONDAY, JUNE 4, from 9.30 AM to 12.30. SECTION IV. Mathematics. 3. Elementary Mechanics. 1. Define... | |
 | Sir George Greenhill - 1894 - 552 σελίδες
..." The volume of a cone is J, of a hemisphere or hemispheroid is |, and of a paraboloid is \ of that of a cylinder on the same base and of the same altitude." The quasi-hydrostatic thrust of spherules may be similarly illustrated by a funnel filled with lead... | |
 | 1901 - 532 σελίδες
...the cone is a right circular cone. The cubical content of a right lircular cone is one-third of that of a cylinder on the same base and of the same altitude, and is therefore found by multiplying the area of the base by the altitude, and taking one-third of... | |
 | Frederick Converse Beach - 1903 - 876 σελίδες
...cone by planes in various directions. The cubic content of a right circular cone is one third of that of a cylinder on the same base and of the same altitude. The cubical content of the cone is therefore found by multiplying the area of the base by the altitude,... | |
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The cubical content of a right circular cone is onethird of that of a cylinder on the same base and of the same altitude. 