The Elements of Logarithms With An Explanation of the Three And Four Place Table

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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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