Complex Integration And Cauchy's Theorem

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III. If Zq and Zhe the complex coordinates of A and B respectively, and if AB be a simple curve joining A, B, then ''B /' dz=:Z-Z,.
A IV. With the notation of Theorems I and II of § 11, by taking Zp = Zpi'*), and Zp in turn equal to Zi,(") and i^;, + i("), it follows that '■B n zdz = h hm 2 [{Zr + l^"^-Zr^''^) z^i'')] i: + i lim 2 [(^,. + i

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