A treatise on special or elementary geometry (1877)
Olney, Edward, 1827-1887, Olney, Edward, 1827-1887. Elements of trigonometry, plane and spherical · New York : Sheldon · leaf 123
Fig. 165. 4. I^rob,—On a given Ji?ie, to constiuct a segment ichich shall contain a given angle. SoLUTiox. — Let AB bethe given line, and O thegiven angle. At one ex-tremity of the given line, asB, construct an angle ABCequal to the given angle O,which shall lie on the oppo-site of AB from that on… … MEASUREMENT OF ANGLES. 103 these perpendiculars, intersecting at F. From F as a centre, with a radiusequal to FB, describe a circle. Then is AHB the segment required. For,CB being perpendicular to radius FB at its extremity, is tangent to thecircle, and angle ABC (= angle 0) is measured by ^ of arc…
Geometry · Trigonometry
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