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" 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 ; multiply this sum by the perpendicular height, and J of the product will be the solidity. "
Principles of geometry, mensuration, trigonometry, land-surveying, and ... - Page 170
by Thomas Tate (mathematical master.) - 1848
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The Principles of Plane Trigonometry, Mensuration, Navigation and Surveying

Jeremiah Day - Measurement - 1831 - 520 pages
...what is the solidity ? Ans. 5040. PROBLEM VIII. To find the SOLIDITY of a rectangular PRISMOID. 55. To THE AREAS OF THE TWO ENDS, ADD FOUR TIMES THE AREA OF A PARALLEL SECTION EQUALLY DISTANT FROM THE ENDS, AND MULTIPLY THE SUM BY £ OF THE HEIGHT. Let L and...
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A Complete System of Mensuration of Superficies and Solids, of All Regular ...

Tobias Ostrander - Measurement - 1833 - 172 pages
...when its ends are right parallelograms. " PROBLEM XVIII, To find the solidity of a prismoid. 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, arid this last sum multiplied by •£...
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The millwright & engineer's pocket companion

William Templeton (engineer.) - 1833 - 224 pages
...gallons nearly as before. •» «bi2&' PROBLEM V. To find the Solid Content of the Frustum of a Pyramid. RULE. — To the sum of the areas of the two ends, add the square root of. their product, multiply this sum by the perpendicular height ; and i of the product...
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A Complete System of Mensuration of Superficies and Solids, of All Regular ...

Tobias Ostrander - Measurement - 1834 - 182 pages
...prismoid when its ends are right parallelograms. ~ ~ " PROBLEM XVIII. To find the solidity of a prismoid. 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, arid this last sum multiplied by | of the...
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The American Journal of Science and Arts

1834 - 882 pages
...at h.) Put the area ABCD=E. abcd=F. length = L. solidity = S. ThenS=jL.(Er-F+4G.)* Or, To the area of the two ends, add four times the area of the middle cross section : multiply by one sixth of ihe length. It is evident that the above solution holds true,...
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The Teacher's Assistant in the "Course of Mathematics Adapted to the Method ...

Mathematics - 1836 - 488 pages
...hight of the wedge and the breadth of the base. To ßnd the solidity of a rectangular prismoid. To the areas of the two ends, add four times the area of a parallel section equally distant from the ends, and multiply the sum by ^ of the hight. A solid is...
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A complete treatise on practical land-surveying

Thomas Holliday - Surveying - 1838 - 404 pages
...and breadth of each end, and the perpendicular distance between them, for the solidity. 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 this last sum multiplied by one-sixth...
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A Course of Mathematics: Containing the Principles of Plane ..., Volumes 1-3

Jeremiah Day - Geometry - 1838 - 416 pages
...what is the solidity ? Ans. 5040, PROBLEM VIII. To find the SOLIDITY of a rectangular PRISMOID. 55. To THE AREAS OF THE TWO ENDS, ADD FOUR TIMES THE AREA OF A PARALLEL SECTION EQUALLY DISTANT FROM THE ENDS, AND MULTIPLY THE SUM BY £ OF THE HEIGHT, Let L and...
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A Course of Mathematics: Containing the Principles of Plane ..., Volumes 1-3

Jeremiah Day - Geometry - 1839 - 434 pages
...what is the solidity ? Ans. 5040. PROBLEM VIII. To find the SOLIDITY of a rectangular PRISMOID. 55. To THE AREAS OF THE TWO ENDS, ADD FOUR TIMES THE AREA OF A PARALLEL SECTION EQUALLY DISTANT FROM THE ENDS, AND MULTIPLY THE SUM BY | OF THE HEIGHT. Let L and...
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A Practical System of Mensuration of Superficies and Solids ...

J. M. Scribner - Measurement - 1844 - 130 pages
...inches 1 Jlns. 32552 cubic ft. PROBLEM VIII. To find the Solidity of a Rectangular Prismoid. AKT. 45. 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 the parallel ends, and this sum, multiplied by i of...
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