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 406
BE, or— CDE : BCE : : DE : BE. CHORDS GIVING EQUAL RECTANGLES. 363 And, since the triangles A D E and B CE are equal, as beforeshown, therefore, substituting in the last proportion A D Efor B C E, we have— CDE : ADE : : DE : BE. The first two factors here being identical with the first twoin the… … Fig. 270. 362.—Proposition.—Two chords, ^/^ and CD {Eig. 270),intersecting, the parallelogram or rectangle formed by thetwo parts of one is equal to the rectangle formed by thetwo parts of the other. That is, the product oi C G multi-plied by G D is equal to the product oi E G multiplied byG F. The…
Carpentry · Architecture · Building
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