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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 223

An illustration from Elements of surveying and levelling; with descriptions of the instruments and the necessary tables, 1870, leaf 223
angle TDB, therefore, must beequal to the angle ACB. The right-angled triangles ADC andBDC are equal (Leg., Bk. L, Prop. 17); hence, the angle DCAis equal to DCB, and each equal to \TDB. 220 ELEMENTS OF SURVEYING. [book III. Let the radius AO he represented by r; the distance ADby d, and the angle… … From formula (1), we can determine the value of d, forany given values of a and r; and hence we can determine,at what point on the tangent, laid off from D, the curve ofany given radius must commence. It is evident, both from the diagram and the formula, thatfor any given angle between the…

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