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half minute. It is seldom necessary in practical questions of this kind to proportion to the nearest second; and in nautical problems the above degree of accuracy will in almost every case be sufficient.

JANUARY 1, 1842.

CONTENTS.

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..18-19

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(n) To find the value of number with fractional index

Examples to preceding rules

(n) Of four proportional quantities, any three being

given to find the fourth, by logarithms

(n) To reduce algebraical formulæ to logarithms
(0) Exponential equations

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(0) Application of logarithms to problems in geo-

metrical progression. &c.

(n) To take quantities out of logarithmic tables

(n) When the given angle is greater than 90°

(n) To take quantities out of table of natural versines
(n) To reduce trigonometrical formulæ to logarithms
(0) Use of algebraical signs + and to determine

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