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 405
leand parallelogram, when of equal base and altitude, theparallelogram is equal to double the triangle. Thereforetriangles of equal altitude are to each other as their bases. 36(.— Propo§moii.—Homologous triangles have theircorresponding sides in proportion. Let the line CD {Fig.269) be drawn… … For, join C to B^ and A to D, then the triangles A C D and^ (7i9, standing on the same base, (T/^, and between thesame parallels, CD and A B, are equal in area. To eachof these equals join the common area C D E, and the sumsA DE and BCE will be equal. The triangles CD E andA D E, having the same…
Carpentry · Architecture · Building
Internet Archive · Library of Congress · Public Domain Mark 1.0. Free to use for anything.
