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 396
these two triangles beingequal, take the same amount, the triangle BEG, from each, TRIANGLE EQUAL TO QUADRANGLE. 353 and what remains in one, A B G C, must be equal to whatremains in the other, E FD G ; these two quadrangles beingequal, add the same amount, the triangle C G D, to each, andthey must… … Fig. 258. the parallelogram will be equal to double the triangle.Thus, the parallelogram A D {Fig. 257) is double {Art, 339)the triangle C E D. 343.—Proposition.—Let F G HD {Fig. 258) be a givenquadrangle with the diagonal F D. From G draw G E IE /Q-Fig. 259. parallel to FD-, extend HD to E\ join…
Carpentry · Architecture · Building
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