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" From the square of the diameter subtract the square of the chord, and extract the square root of the remainder. Subtract this root from the diameter, and half the remainder will give the versed sine of half the arc. "
Engineers' and Mechanics' Pocket-book ... - Page 63
by Charles Haynes Haswell - 1844 - 264 pages
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The Architect's and Builder's Pocket-book of Mensuration, Geometry ...

Frank Eugene Kidder - Architecture - 1892 - 1032 pages
...iliameter. To compute the versed sine when the chord of the arc and the diameter are given. RULE. — From the square of the diameter subtract the square...remainder; subtract this root from the diameter, and halve the remainder. To compute the length of an arc of a circle when the nmnber oj degrees and the...
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Industrial Engineering: A Handbook of Useful Information for ..., Volume 1

William Miller Barr - Engineering - 1918 - 650 pages
...to twice the chord of half the arc; the sum will be the length of the arc very nearly. NOTE. — 1. When the diameter and chord of the arc are given,...remainder will give the versed sine of half the arc. 2. The square of the chord of half the arc being divided by the diameter will give the versed sine,...
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The Architects' and Builders' Handbook: Data for Architects, Structural ...

Frank Eugene Kidder - Architecture - 1921 - 1944 pages
...the diameter. To compute the versed sine when the chord of the arc and the diameter are given. Rule. From the square of the diameter subtract the square...remainder; subtract this root from the diameter and halve the remainder. To compute the length of an arc of a circle when the number of degrees and the...
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The Architects' and Builders' Handbook: Data for Architects, Structural ...

Frank Eugene Kidder - Architecture - 1921 - 1940 pages
...chord of the arc and the diamel given. Rule. From the square of the diameter subtract the square of the and extract the square root of the remainder; subtract this root from the etcr and halve the remainder. To compute the length of an arc of a circle when the number of degre<...
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Modern Carpentry and Building: Giving Methods of Obtaining the Various Cuts ...

William Allen Sylvester - Architecture, Domestic - 1896 - 264 pages
...The rule is as follows : Subtract the square of the chord or span from the square of the diameter, and extract the square root of the remainder. Subtract this root from the diameter, and halve the remainder, which gives the rise. To illustrate. The diameter being 300 feet, the square of...
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The National Engineer, Volume 9

Steam engineering - 1905 - 572 pages
...the diameter of the circle, and the chord of the arc are given, the versed sine may be found thusly: From the square of the diameter subtract the square...remainder will give the versed sine of half the arc. NOTE 2. The square of the chord of half the arc being divided by the diameter will give the versed...
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The popular educator, Volume 4

Popular educator - 1860 - 424 pages
...chord of hall the arc. Othtrwiu : subtract the square of half the chord from the square of the radius, and extract the square root of the remainder. Subtract this root from the radius, and multiply the remainder by twice the radius; then extract the square root of the product,...
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