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The American house-carpenter; a treatise upon architecture, cornices and mouldings, framing, doors, windows, and stairs. Together with the most important principles of practical geometry (1852)

Hatfield, R. G. (Robert Griffith), 1815-1879 · New York : J. Wiley · leaf 75

An illustration from The American house-carpenter; a treatise upon architecture, cornices and mouldings, framing, doors, windows, and stairs. Together with the most important principles of practical geometry, 1852, leaf 75
els, the parallelo-gram will be equal to double the triangle. Thus, the paral-lelogram, a d, (Fig. 103,) is double, (Art. 143,) the triangle,c e d. 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 c d to e ; join a and e… … lels, a d and 6 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.

Carpentry · Architecture

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