 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 63by Charles Haynes Haswell - 1844 - 264 pagesFull view - About this book
 | John Bonnycastle - Geometry - 1829 - 256 pages
...sum will be the length of the arc very nearly. Note 1. — When the diameter and chord of the arc ate given, the versed sine may be found thus: From the...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,... | |
 | James Hann, Isaac Dodds - Mechanics - 1833 - 234 pages
...from the square of the above length of the beam, subtract the square of half the length of the stroke, and extract the square root of the remainder; subtract this root from the above length of the beam, and multiply the remainder by twice the length of the parallel bar, for a... | |
 | John Bonnycastle - Measurement - 1835 - 308 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,... | |
 | John Bonnycastle - Geometry - 1848 - 320 pages
...to twice tfie 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,... | |
 | Charles Haynes Haswell - Engineering - 1851 - 346 pages
...the Diameter and the Versed Sine of half the Arc are given. RULE. — From 60 times the diameter ca, subtract 27 times cd the versed sine, and reserve...the arc being divided by the diameter, will give the rersed tine ; or, being divided by the versed sine, will give the diameter. To find the Area of a Sector... | |
 | Charles Haynes Haswell - Measurement - 1858 - 350 pages
...to twice the chord of half the arc. When the Chord of the Arc and the Diameter are given. RULE. — From the square of the diameter subtract the square...this root from the diameter, and half the remainder is the versed sine. 2— c2— d Or, *~ -- =r. When the Versed Sine is greater than a Semidiameter.... | |
 | William Allen Sylvester - Building - 1883 - 220 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... | |
 | William Allen Sylvester - Carpentry - 1884 - 222 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... | |
 | Frank Eugene Kidder - Architecture - 1886 - 640 pages
...iliameter. To compute the vented nine when the chord of the arc. and tindiameter are t/iceit. KVLE. — 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 it circle when the number of degrees and the... | |
 | Education - 1886 - 712 pages
...From the square of the sum of the length and breadth subtract four times the area of the plowed part, and extract the square root of the remainder. Subtract this root from the sum of the length and breadth ; one fourth of the remainder will be the width of the part plowed. Solution:... | |
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