The American house carpenter. A treatise on the art of building. Comprising styles of architecture, strength of materials, and the theory and practice of the construction of floors, framed girders, roof trusses, rolled-iron beams, tubular-iron girders, cast-iron girders, stairs, doors, windows, mouldings, and cornices; together with a compend of mathematics. A manual for the practical use of architects, carpenters, stair-builders, and others (1880)
Hatfield, R. G. (Robert Griffith), 1815-1879, Hatfield, O. P., ed · New York, J. Wiley & sons · leaf 483
uantities, minus half their dif-ference, equals the smaller of the two quantities. 440 POLYGONS. Let the shorter line be designated by ^, and the longerby b; then the proposition is expressed by— a — a+ b (128.) We also have EJ + JF— EF— CD\ or, half the sumof two quantities, plus half their… … the figure be represented by the symbols a, by c, d, g, and /,as shown. Then, since A EC and B E C are right-angledtriangles, we have {Art. 416) the following two equations,and, by subtracting one from the other, the third— f^ + d^=a\ f^-^^a-b.Then {Art. 414), by substitution, we have— By division…
Carpentry · Architecture · Building
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