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" Multiply the square root of half the sum of the squares of the two axes by *, and the product will be nearly = the circumference. Ex. Taking the same example as before, we hare /24' + IT \/ = — X 3,14159 = 66,6433= the circumference nearly. "
The Description and Use of the Sliding Rule, in Arithmetic, and in the ... - Page 30
by Andrew Mackay - 1811 - 138 pages
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Mathematical and Astronomical Tables: For the Use of Students of Mathematics ...

William Galbraith - Astronomy - 1827 - 412 pages
...product of the transverse axis into the conjugate axis multiplied by 0-785398. Periphery. — Multiply the square root of half the sum of the squares of the two axes by 3.141593, the product will be the periphery nearly. Examples for Exercise. 1. Required...
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A Treatise on the New Method of Land Surveying, with the Improved Plan of ...

Thomas Hornby (land surveyor.) - Surveying - 1827 - 318 pages
...the rule (AB + CD) x 3'1416 -(30 + 20) x ^ = 78.5400 chains, the circumference nearly. RULE. Multiply the square root of half the sum of the squares of the two axes by 3. 1416, and the product will be the circumference nearly. — (This is Hutton's 3rd Rule.)...
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An Introduction to Mensuration and Practical Geometry

John Bonnycastle - Geometry - 1829 - 256 pages
...the circumference of an ellipse, the transverse and conjugate diameters being known. RULE.* Multiply the square root of half the sum of the squares of the two diameters by 3.1416, and the product will be the circumference nearly. * Demon. • Let <=transverse...
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A London Encyclopaedia, Or Universal Dictionary of Science, Art ..., Volume 14

Thomas Curtis - Aeronautics - 1829 - 810 pages
...+ 10-7 5 190-7500. Answer. PROB. XV. To find the circumference of an ellipse. Rule 1. — Multiply the square root of half the sum of the squares of the two diameters, and the product will be the circumference nearly. Demonstration. — If t =: the transverse,...
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A Complete System of Mensuration of Superficies and Solids, of All Regular ...

Tobias Ostrander - Measurement - 1833 - 172 pages
...PROBLEM v. The transverse and conjugate diameters are given, to find the circumference. Rule—Multiply the square root of half the sum of the squares of the two diameters by 3,1416, and the product will be the circumference nearly, EXAMPLES. 1. The transverse...
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A system of practical arithmetic, comprehending numerous rules and examples ...

Samuel YOUNG (of Manchester.) - 1833 - 272 pages
...area of the ring formed by these circles ? PROBLEM XIV. To find the circumference of an Ellipse. RULE. The square root of half the sum of the squares of the 2 diameters multiplied by 3- 141 6 will be the circumference, nearly. (1) The transverse diameter is...
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Mathematical and Astronomical Tables: For the Use of Students in Mathematics ...

William Galbraith - Astronomy - 1834 - 454 pages
...product of the transverse axis into the conjugate axis multiplied by 0.785398. Periphery. — Multiply the square root of half the sum of the squares of the two axes by 3.141593, the product will be the periphery nearly. I. IMPERIAL LAND MEASURE. Marked, Square...
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A Complete System of Mensuration of Superficies and Solids, of All Regular ...

Tobias Ostrander - Measurement - 1834 - 182 pages
...PROBLEM v. The transverse and conjugate diameters are given, to find the circumference. Rule — Multiply the square root of half the sum of the squares of the two diameters by 3,1416, and the product will be the circumference .nearly. EXAMPLES. 1. The transverse...
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A Series on Elementary and Higher Geometry, Trigonometry, and Mensuration ...

Nathan Scholfield - Conic sections - 1845 - 542 pages
...18. (12 + 9) + 314159 = 21 X 3,14159 = 65,9735 equal the circumference nearly. OB RULE 2. Multiply the square root of half the sum of the squares of the two axes by *, and the product will be nearly = the circumference. Ex. Taking the same example as before,...
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Higher Geometry and Trigonometry: Being the Third Part of a Series on ...

Nathan Scholfield - Geometry - 1845 - 506 pages
...18. (12 + 9) + 314159 = 21 X 3,14159 = 65,9735 equal the circumference nearly. OR RULE 2. Multiply the square root of half the sum of the squares of the two axes by *, and the product will be nearly = the circumference. Ex. Taking the same example as before,...
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