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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 87

An illustration from The American house-carpenter; a treatise on the art of building, and the strength of materials, 1867, leaf 87
z — =r = the radius. Reducing this expres-sion by multiplying the numerator and denominator each by thelike quantity, viz. -y, there results, — = r; and where c represents the chord, the expression is, — = r: that is, as stated above, Ihe radius is equal to the sum of the squaresof half the chord… … of the squares of the radius and abscissa, {d n,) less the differ-ence of the radius and versed sine. So, if the chord a h, andthe versed sine c d, be given, the length of any number ofordinates may be found by which to describe the arc. Findthe radius, c e, by the preceding Article. It will be…

Carpentry · Architecture

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