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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 84

An illustration from The American house-carpenter; a treatise on the art of building, and the strength of materials, 1873, leaf 84
n, therefore the angles a o d and ado are equal, and con-sequently the lines a o and a d are equal. (Art. 142.) 160.—Proposition. An angle at the circumference of acircle is measured by half the arc that subtends it: that is,the angle a be, (Fig. Ill,) is equal to half the angle a d c.Through the… … Fig. 111. (Art. 142,) and the sum of these two angles is equal to theangle a d e, (Art. 149,) and therefore one of them, a 5 d, isequal to the half of a d e. The angles a d e and a b d (orale} are both subtended by the arc a e. Now, since the angle,a d 6, is measured by the arc a 6, which subtends…

Carpentry · Architecture

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