This historic book may have numerous typos and missing text. Purchasers can usually download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1917 edition. Excerpt: ... known quantities at some given point C, a simple ratio of sines, cosines, tangents and cotangents of the position angles of P and C. A reader interested in seeing the contrast between these formulas and those which have been developed by competent mathematicians, not using hyperbolic functions, may ...
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This historic book may have numerous typos and missing text. Purchasers can usually download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1917 edition. Excerpt: ... known quantities at some given point C, a simple ratio of sines, cosines, tangents and cotangents of the position angles of P and C. A reader interested in seeing the contrast between these formulas and those which have been developed by competent mathematicians, not using hyperbolic functions, may consult the following references. O. Heaviside, "Reprinted Electrical Papers," London, 1892, vol. ii, p. 247. M. Leblanc, "Formula for Calculating the Electromotive Force at any Point of a Transmission Line for Alternating Current, Trans. A. I. E. E., vol. xix, pp. 759-768, June, 1901. P. H. Thomas, "Calculation of the High-tension Line," Trans. A. I. E. E., part I, vol. xxviii, pp. 641-686, June 1909. CHAPTER XI FUNDAMENTAL PROPERTIES OF ALTERNATING-CURi RENT ARTIFICIAL LINES A.C. artificial lines are composed of uniform sections, either 7"s or II's. The series elements of these sections ordinarily contain resistance and reactance, and the shunt elements, or leaks, conductance and susceptance. There are two fundamental problems which frequently present themselves in discussing the relations between real and artificial a.c. lines. The first is to find the elements of a T or II section which shall make the section correspond to an assigned length of real line at an assigned frequency. The second is, knowing the impedance and admittance element of an artificial line section, at a given frequency, to find the line angle and surge impedance of the section at that frequency. We shall consider these two problems in the above order. To Find the Elements of a T or n Which Shall Form a Section Equivalent to a Given Length of Real Line at a Given Frequency. The procedure is the same as in the d.c. case already considered in...
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