Elements of Geodesy

Cover Elements of Geodesy
Elements of Geodesy
James Howard Gore
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dx dx dx The first equation at (B) becomes i -x) + 9 '(M' -x) + cp'(M" -*)... = a (4) Now, if in this equation we suppose M' = M" . . . = M mN, where m represents the number of observations, and since the arithmetical mean is the most probable value of x, 4-M" ...
since there will be m I terms after the first, each equivalent to M mN, or x = ~(M + mM - nfN - M+ mN) = -(mM - m = M mN + N = M (m i)N; or M x = (m i)N, and M' - x - M" - x = M - mN - X-, H2 GEODETIC OPERATIONS.
but x = M mN + N\ the
...refore = M - mN - M + mN - N = - N. Substituting these values for x in (4), we get



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