The American house-carpenter; a treatise on the art of building, and the strength of materials (1867)
Hatfield, R. G. (Robert Griffith), 1815-1879 · New York, J. Wiley · leaf 86
by ^ 5 is equal to e d mutiplied by c e—or the product of the means equals the product of the ex-tremes. 165.—Proposition. In any circle, when a segment is given,the radius is equal to the sum of the squares of half the chordand of the versed sine, divided by twice the versed sine. Leta J, {Fig.… … length of sides. Therefore, v : n::m : i, or — =zi; that is, i is equal to the square of n {orn x n) divided by v. This resultbeing added to v equals the diameter o a?, which may be indi cated by the letter d: thus, hv = i-hv = d: and the half of this, or—-— =z — =r = the radius. Reducing this…
Carpentry · Architecture
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