 | Charles Hutton - Geometry - 1770 - 518 pages
...trapezoide will be infinite, and it is then called, fometimes, a cylindroid. GENERAL RULE. To the fum of the areas of the two ends add four times the area of a fection parallel to and equally diftant from both ends, multiply the laft fum by the height and i of... | |
 | John McGregor (teacher of mathematics.) - Mathematics - 1792 - 532 pages
...being 72 feet. Anf. 89.5356 cubit-feet. , PROBLEM IX. Tcjlnd the folidity of the prifmoid. RULE I. To the areas of the two ends add four times the area of the middle feâion. Multiply the fum by the height, and $ the produft will be the folidity. RULE 2.... | |
 | Jeremiah Day - Measurement - 1815 - 388 pages
...5040. PROBLEM vm. Te find the SOLIDITY of a rectangular PRISMOID. 55. To the areas of the two-endsi add four times the area of a parallel section equally...by | of the height. . . ' .„|, •• Let L and B (Fig.21.) be the length and breadth of one end, I and b the length and breadth of the other end, M... | |
 | Thomas Keith - 1817 - 306 pages
...(one-third of '7854), and then by the height, the last product will be the solidity. RULE II*. To the sum of the areas of the two ends, add four times the area of a section parallel to. * The first Rule, which is the same is that given for the priimoid, wai introduced... | |
 | Anthony Nesbit, W. Little - Measurement - 1822 - 916 pages
...PROBLEM IX. 'To find the content of a vessel in the form of a prismoid, RULE, By the Pen. To the sum of the areas of the two ends, add four times the area of a section parallel to, and equally distant from both ends ; multiply this sum by the perpendicular depth,... | |
 | Anthony Nesbit - Surveying - 1824 - 476 pages
...square pyramid ; to find its. content in ale and wine gallons, ana matt bus/ids. RULE. To the sum of the areas of the two ends add four times the area of the middle section parallel t» them ; multiply this sum by the perpendicular depth, and J of the product... | |
 | Thomas Curtis - Aeronautics - 1829 - 810 pages
...inches, or 4-1319 solid feet. PROB. XXIX. To find the solidity of a promoid. Rule,— to the sum of the areas of the two ends add four times the area of a section parallel to, and equally distant from, both ends, and multiply the sum by one-tenth of the... | |
 | John Bonnycastle - Geometry - 1829 - 256 pages
...17.14508 inches ? Ans. 3.1006 feet. PROBLEM XI. To find the solidity ofaprismoid. . RULE.* To the sum of the areas of the two ends add four times the area of a section parallel tq and equally distant from both ends, and this last sum multiplied by £ of the height... | |
 | Thomas Curtis - Aeronautics - 1829 - 878 pages
...cases it gives very erroneous results. The true method of finding the solidity is this : to the sum of the areas of the two ends, add four times the area of the middle section between them, and the sum multiplied by onelixth of the length will give the solidity.... | |
 | Jeremiah Day - Logarithms - 1831 - 418 pages
...42 ; what is the solidity ? Ans. 5040. PROBLEM VIII. Tofint} the SOLIDITY of a rectangular PRISMOID. 55. To THE AREAS OF THE TWO ENDS, ADD FOUR TIMES THE...EQUALLY DISTANT FROM THE ENDS, AND MULTIPLY THE SUM BY i OF THE HEIGHT. Let L and B (Fig. 21.) be the length and breadth of one end, I and 6 the length and... | |
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To the sum of the areas of the two ends add four times the area of a section parallel to and equally distant from both ends, and this last sum multiplied by | of the height will give the solidity. 
