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" Divide the square of half the chord by the versed sine ; to the quotient add the versed sine, and the sum will be the diameter, &c. "
A Treatise on Practical Mensuration - Page 18
by Anthony Nesbit - 1859 - 450 pages
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A New and Complete System of Arithmetick: Composed for the Use of the ...

Nicolas Pike - 1808 - 470 pages
...Multiply half the chord by itself, and divide the produft by the vei sed sine ; then add the quotient to the versed sine, and the sum will be the diameter of the circle. EXAMPLE. In the segment ABCD, the chord AC is 1 869-5, and the versed sine BD 423-5, to find the diameter....
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Annals of Philosophy, Or, Magazine of Chemistry, Mineralogy ..., Volume 12

1818 - 518 pages
...difference of these numbers together, and the square root of the product is the versed sine of the arc. Next divide the square of half the chord by the versed sine, to the quotient add the versed sirie, and half the sum is the radius of that part of the metallic curve next the cylinder. Besides...
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A Treatise on Practical Mensuration in Eight Parts ...

Anthony Nesbit - 1824 - 476 pages
...sine 8 ; what is the length of the arc ? Ans. 35 J. RULE II. Divide the square of half the chord tyr the versed sine ; to the quotient add the versed sine, and the sum will be the diameter. Subtract — of the versed sine from the diameter ; if\) divide — of the versed sine by the remainder;...
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The millwright & engineer's pocket companion

William Templeton (engineer.) - 1833 - 224 pages
...VIII. To find the Diameter of a Circle, by having the chord and versed sine given. ROLE. — Divide ihe square of half the chord by the versed sine, to the quotient of which add the versed sine ; and the sum will be the diameter. EXAMPLE.— Given the chord AB = 24,...
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The Penny Mechanic, and the Chemist, Volume 2

1837 - 800 pages
...yours, &c. TL TO FIND THE DIAMETER OF A CIRCLE BY HAVING THE CHORD AND VEBBED SINE GIVEN. Rule. — Divide the square of half the chord by the versed sine, to the quotient of which add the versed sine, and the sum will be Ihe diameter. Example, — Given the chord AB = 12...
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The millwright & engineer's pocket companion

William Templeton (engineer.) - 1846 - 236 pages
...PROBLEM VIII. To find the diameter of a circle, by having the chord and verse sine given. RULE. — Divide the square of half the chord by the versed sine, to the quotient of which add the versed sine, and the sum will be the diameter. Or, if the sum of the squares of the...
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The Mechanic's, Machinist's, and Engineer's Practical Book of Reference ...

Charles Haslett - 1855 - 544 pages
...arc. PROBLEM VIIL To find the diameter of a circle, by having the chord and versed sine given. ROLE. Divide the square of half the chord by the versed sine, to the quotient of which add the versed sine, and the Sum will be the diameter. Or, if the sum of the squares of the...
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Commercial class book

Alfred Newsom Niblett - 1861 - 204 pages
...subtract the chord of the whole arc, and J of the remainder will be the length of the arc, nearly. 2. Divide the square of half the chord by the versed...the versed sine, and the sum will be the diameter. Subtract j^ of the versed sine from the diameter, divide j of the versed sine by the remainder, and...
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A Practical Treatise on the Science of Land and Engineering Surveying ...

Henry S. Merrett - 1863 - 428 pages
...To find the diameter of a circle by having the chord and versed sine given, Fig. 56, Plate 3. Rule. Divide the square of half the chord by the versed...the versed sine, and the sum will be the diameter, &c. Or : If the sum of the squares of the semichord and versed sine be divided by the versed sine,...
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A practical treatise on ... land and engineering surveying, Volume 34

Henry S. Merrett - 1863 - 476 pages
...To find the diameter of a circle by having the chord and versed sine given, Fig. 56, Plate 3. Rule. Divide the square of half the chord by the versed...the versed sine, and the sum will be the diameter, &c. Or : If the sum of the squares of the semichord and versed sine be divided by the versed sine,...
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