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The theory and practice of surveying. Designed for the use of surveyors and engineers generally, but especially for the use of students in engineering (1886)

Johnson, J. B. (John Butler), 1850-1902 · New York, J. Wiley & sons · leaf 657

An illustration from The theory and practice of surveying. Designed for the use of surveyors and engineers generally, but especially for the use of students in engineering, 1886, leaf 657
uccessive differential coefficients of / withrespect to s is the most difficult portion of this general development. Ifs be supposed to vary, then /and z both must vary, and they are all im-plicit functions of each other. These coefficients are therefore best / found geometrically, as follows : In… … Then CP = EP = / - dl - dl. Let angles PAB — z and PBC = z. Since the line s is a straight line upon thesurface of the sphere (lies in the plane of a greatcircle), the angle z is greater than the angle zby the amount of convergence of the meridiansAP and BP at that point. This convergenceis the…

Surveying

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