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" To the areas of the two ends of the frustum add the square root of their product ; multiply the sum by the height of the frustum ; and one-third of the product will be the volume. "
Mensuration for Beginners: With Numerous Examples - Page 155
by Isaac Todhunter - 1869 - 296 pages
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Mathematics: Compiled from the Best Authors, and Intended to be ..., Volume 2

Samuel Webber - Mathematics - 1808 - 522 pages
...dh D3— tt3 Aft X .r- = solidity of the frustum ABDE. QE DVol. II. 2. For the frustum of a pyramid. RULE.* To the areas of the two ends of the frustum add the square root of their product, and this sum, being multiplied by i of the height, will give the solidity. EXAMPLES. 1 . What is the...
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A treatise of practical mensuration

Anthony Nesbit - Measurement - 1824 - 434 pages
...the sides? Ans. 35 15*. 7\d. PROBLEM VI. To find the solidity of the frustum of a pyramid. GENERAL RULE. To the areas of the two ends of the frustum add the square root of their product ; and this sum being niul•f . tiplied by \ of the perpendicular height, will give the solidity. Note,...
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An Introduction to Mensuration and Practical Geometry

John Bonnycastle - Geometry - 1829 - 252 pages
...When the ends of the pyramids are not regular polygons. Add together the areas of the two ends and the square root of their product; multiply the sum by the height, and 1 of the product will be the solidity. EXAMPLES. 1. What is the solidity of the frustum of the...
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An Introduction to Mensuration and Practical Geometry

John Bonnycastle - Geometry - 1848 - 288 pages
...When the ends of the pyramids are not regular polygons. Add together the areas of the two ends and the square root of their product ; multiply the sum by the height, and $ of the product will be the solidity. EXAMPLES. 1. What is the solidity of the frustrum of the...
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An introductory treatise on mensuration, in theory and practice

John Radford Young - Measurement - 1850 - 12 pages
...solid content of the frustum of a pyramid or cone. RULE I. To the areas of the two ends of the frnstum add the square root of their product : multiply the sum by the height, and one third of the product will be the solid content. The demonstration of this rule is as follows:...
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The Practical Model Calculator: For the Engineer, Mechanic, Machinist ...

Oliver Byrne - Engineering - 1851 - 293 pages
...When the ends of the pyramids are not regular polygons. — Add together the areas of the two ends and the square root of their product ; multiply the sum by the height, and J of the product will be the solidity. What is the solidity of the frustum of the cone EABD, the...
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Mensuration and Practical Geometry: Containing Tables of Weights and ...

Charles Haynes Haswell - Measurement - 1858 - 350 pages
...Polygon, or when the Areas of the Ends are given. RULE. — Add together the areas of the two ends and the square root of their product ; multiply the sum by the height, and one third of the product will be the contents. Or, EXAMPLE. — What are the contents of an irregular-sided...
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A Treatise on Practical Mensuration

Anthony Nesbit - Measurement - 1859 - 494 pages
...the sides? Ans. 35. 15s.7$d. PROBLEM VI. To find the solidity of the frustum of a pyramid. GENERAL RULE. To the areas of the two ends of the frustum add the square root of their product ; and their sum being multiplied by 4 of the perpendicular height, will give the solidity. Note 1,...
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Commercial class book

Alfred Newsom Niblett - 1861
...perpendicular height. PROBLEM 6. Tn find the solidity of the frustum of a pyramid. DEFINITION. GENERAL RULE. To the areas of the two ends of the frustum, add the square root of their product, and this sum being multiplied by J ot the perpendicular height, will give the solidity. RULE 2. If...
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The Practical Model Calculator, for the Engineer, Mechanic, Machinist ...

Oliver Byrne - Engineering - 1863 - 588 pages
...When the ends of the pyramids are not regular polygons. — Add together the areas of the two ends and the square root of their product ; multiply the sum by the height, and J of the product will be the solidity. What is the solidity of the frustum of the cone EABD, the...
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