Elements of plane and spherical trigonometry (1833)
Young, J. R. (John Radford), 1799-1885 · Philadelphia, Carey, Lea & Blanchard · leaf 35
I ^ /equal, (Geom. p. 106,) we have the angle BOD = V / DOC = i comp. A = 1° 6 49J, and, therefore, \ ^ BDO = 88° 53 161. Now in the right-angled triangle ABD we have BD = AB tan. A; and in the right-angled triangle OBD, OB = BD tan. BDO; hence by substitution, OB = AB tan. A tan. BDO; the… … PROBLEM VI. Given the distances between three objects A, B, C, and the anglessubtended by these distances at a point D in the same plane with them;to determine the distance of D from each object. Let a circle be described about the triangle ADB, and join AE, EB,then will the angles ABE, BAE, be…