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The American house-carpenter; a treatise on the art of building, and the strength of materials (1873)

Hatfield, R. G. (Robert Griffith), 1815-1879 · New York : J. Wiley · leaf 78

An illustration from The American house-carpenter; a treatise on the art of building, and the strength of materials, 1873, leaf 78
parallels, the parallelo-gram will be equal to double the triangle. Thus, the paral-lelogram, a d, (Fig. 103,) is double, (Art. 143,) the triangle,ced. 147.—Proposition. Let abed, (Fig. 104,) be a given quad-rangle with the diagonal, a d. From b, draw b e, parallel to a d,extend cdtoe ; join a and… … Fig. 104. lels, a d and b e, they are therefore equal, (Art. 145, 146 ;} andsince the triangle, C, is common to both, the remaining triangles, Aand B, are therefore equal; then B being equal to A, the triangle,a e c, is equal to the quadrangle, abed. Fig. 105. 148.—Proposition. If two straight…

Carpentry · Architecture

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