Elements of surveying and levelling; with descriptions of the instruments and the necessary tables (1870)
Davies, Charles, 1798-1876 · New York and Chicago, A. S. Barnes & Company · leaf 228
pose ACto be prolonged till it meets the circumference in some point,on the other side of the centre C, and this point then to bejoined with r, and vn then drawn parallel to the tangent, weshall have, (Leg., Bk. lY., P. 23), Av^ = 2r . An; hence, o = 2r- (4) K, now, we prolong Av, till vt = Av, and… … Now, in any one of the triangles, the sum of the two anglesat the base and the vertical angle C, is equal to two right-angles. But, since Avt is a straight line, tv20 + wvC + CvA,is also equal to two right-angles. Therefore, tvw \^ equal toany one of the equal angles at C, and is, consequently,…
Surveying
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