 | Charles Vyse - 1785 - 350 pages
...PROBLEM XVII. To find the Solidity of a Fruftum of a Pyramid or Cone. Fig. 17. Fig. 18. Add into one Sum the Areas of the two Ends, and the mean Proportional between them ; multiply the Sum by the perpendicular Height, and T of the Product will be the Solidity ; that is, if A be the Area... | |
 | 1801 - 658 pages
...PROBLEM VIII. 70 find the solidity of the frustum of a cone or any pyramid, RULES. i. Add into one sum the areas of the two ends, and the mean proportional between them, or the square rooc of their product, and y of that sum will be a mean area , and which, multiplied... | |
 | David Steel - 1805 - 392 pages
...content. PROBLEM 6. To find the solid Content of theFrust urn of a Cone or Pyramid. RULE. Add into one sum the areas of the two ends, and the mean proportional between them, or the square root of their product ; and take one-third of that sum for a mean area ; which, multiplied... | |
 | Thomas Hodson - 1806 - 576 pages
...will be the folid content. 2. The mean area of the ends is found by one of the following rules:— Add the areas of the two ends, and the mean proportional between them, together, and one third of the fum will be the mean area. Or, when, the ends of the pyramid are regular... | |
 | Charles Hutton - 1807 - 464 pages
...Ans. 22-56093. PROBLEM VI. To find the Solidity of the Frustum of a Cone or Pyramid. ADD into one sum, the areas of the two ends, and the mean proportional between them : and take \ of that sum for a mean area -, which being multiplied by the perpendicular height or length... | |
 | William Nicholson - 1809 - 700 pages
...the solid content of the frustum of a cone, pyramid, &c. the base being of any figure whatever : add the areas of the two ends, and the mean proportional between them together, then '. of that sum will be the mean area, or the area of an equal prism, of the same altitude... | |
 | Charles Hutton - 1811 - 442 pages
...22-56093. PROBLEM VI. To fuel the So.'idity of the Frustum of a Cone or Pyramid. ADD into one sum, the areas of the two. ends, and the mean proportional between them : and take 4 of that sum for a mean area ; which being multiplied by the perpendicular height, or lengdi... | |
 | Isaac Dalby - 1813 - 538 pages
...(Gwn. 136. cor. 2)< Also i/3 X 7 = 3-^- the content of DVA : o — t o— t And the difference, or viz. The areas of the two ends and the mean proportional between them in one sum, multiplied ly | of the height, is the content of the frustum HD AB. The same result as... | |
 | John Mason Good - 1813 - 714 pages
...the frustum ufa cone, or nf anij pyramid, whatever figure the Lase way ñaue. — Add into one sum, the areas of the two ends and the mean proportional between them ; then •} of that sum will be a mean area, or the area of an equal prism, of the same altitude with... | |
 | 1816 - 764 pages
...take y of the product for the content. PKOB. VI. To find the folidity of the fruftuqi of a cone or pyramid. RULE. Add into one fum, the areas of the two ends, and the mean proportional between them, that is the fquare rpot of then- product; and | of their fura will be a mean area ; which being multiplied... | |
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Add into one sum the areas of the two ends, and the mean proportional between them... 
