| Charles Vyse - Arithmetic - 1785 - 325 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... | |
| Mathematics - 1801 - 610 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
...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 - Education - 1806 - 458 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 - Mathematics - 1807
...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 - Science - 1809
...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, Olinthus Gregory - Mathematics - 1811
...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 - Mathematics - 1813
...(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, Olinthus Gilbert Gregory - 1813
...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... | |
| Encyclopedias and dictionaries - 1816
...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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