The Elements of Logarithms With An Explanation of the Three And Four Place Table
The book The Elements of Logarithms With An Explanation of the Three And Four Place Table was written by author James Mills Peirce Here you can read free online of The Elements of Logarithms With An Explanation of the Three And Four Place Table book, rate and share your impressions in comments. If you don't know what to write, just answer the question: Why is The Elements of Logarithms With An Explanation of the Three And Four Place Table a good or bad book?
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L, [log ctn)- 1 0. 5555 = 15° 33'. Tfie angle is, in every case, to be found with the same degree of accuracy as that of the tabulated angles between which it is interpolated ; that is, to the nearest tenth of a minute if found from the first division of the table, and otherwise to the nearest minute. The reason of the dif- ference is that the angle varies less rapidly at the begin- ning of the table than at the end for a given change in log A, and hence is more accurately determined by a value... of log A given to four places. Towards the end of the table, it is sometimes not even determined to the nearest minute, as we shall presently explain more particularly. See (§ 17). (_§ 1*5. ) The student should remark that the angles in the columns of sin - 1 A and cos -1 A are complements of 72 THE ELEMENTS OP LOGARITHMS. each other; also in those of tan -1 A and ctn — 1 A; and again in those of sec -1 A and esc -1 A. This is in accordance with (B). Again, the values of the argument on opposite sides of the page are arithmetical complements, and therefore cor- respond to reciprocal values of A ; while the angles bear to these values of A reciprocal relations, as the upper and lower names of the same column (sin -1 A and csc — 1 A ; cos -1 A and sec -1 A ; &c.
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