## Tables of Logarithms of Numbers and of Sines and Tangents for Every Ten Seconds of the Quadrant: With Other Useful Tables |

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Tables of Logarithms of Numbers and of Sines and Tangents for Every Ten ... Elias Loomis No preview available - 2016 |

Tables of Logarithms of Numbers and of Sines and Tangents for Every Ten ... Elias Loomis No preview available - 2015 |

### Common terms and phrases

39 Degrees 47 Degrees 51 Degrees 54 Degrees 75 cents 86 Degrees 9 I I 9 II 90 cents adapted ALONZO POTTER arc corresponding bottom College column headed computed corresponding to logarithmic dictionary Dist edition ELIAS LOOMIS English Notes expressed in seconds fifth figure find the Logarithm four figures fraction given number GRAMMAR Greek half Sheep HARPER & BROTHERS HENRY DRISLER I I I I I I JAMES RENWICK language Lexicon LL.D logarithmic cosine logarithmic sine logarithmic tangent LOGARITHMS OF NUMBERS Loomis manner we find middle latitude minutes Muslin Natural Co-sines Natural Co-tangents natural number Natural Philosophy natural sines number of seconds Professor of Mathematics pronunciation proportional quadrant radius Required the logarithmic Schools secant Sheep extra sine of 24 Sine or Tangent sines and tangents Spanish language table of natural tabular difference tabular number text-book TREATISE ON ALGEBRA vols Vulgar Fraction WILLIAM WHEWELL York ΙΟ ΙΟΙ

### Popular passages

Page v - In a system of logarithms all numbers are considered as the powers of some one number, arbitrarily chosen, which is called the base of the system, and the exponent of that power of the base which is equal to any given number, is called the logarithm of that number. Thus, if a be the base of a system of logarithms, N any number, and x such that N = a* then x is called the logarithm of N in the system whose base is a.

Page vi - The integral part is called the characteristic, and may be known from the following RULE. The characteristic of the logarithm of a number greater than unity, is one less than the number of integral figures in the given number.

Page vi - The accompanying table contains the logarithms of all numbers from 1 to 10,000 carried to 6 decimal places. To find the Logarithm of any Number between 1 and 100. Look on the first page of the table, along the column of numbers under N, for the given number, and against it, in the next column, will be found the logarithm, with its characteristic. Thus, opposite 13 is 1.113943, which is the logarithm of 13 ; " 65 is 1.812913, " " 65. To find tht Logarithm of any Number consisting of three Figures.

Page xvi - The given middle latitude is to be found either in the first or last vertical column, opposite to which, and under the given difference of latitude, is inserted the proper correction in minutes, to be added to the middle latitude to obtain the latitude in which the meridian distance is accu rately equal to the departure.

Page xii - Required the logarithmic tangent of 73° 35' 43". The logarithmic tangent of 73° 35' 40" is 10.531031. Proportional part for 3" is 23. Logarithmic tangent of 73° 35' 43" 10.531054. When a cosine is required, the degrees and seconds must be sought at the bottom of the page, and the minutes on the right, and the correction for the odd seconds must be subtracted from the number in the table. Required the logarithmic cosine of 59° 33

Page x - The logarithmic cosine of 59° 33' 40" is 9.704682 Proportional part for 7" is 25 Logarithmic cosine of 59° 33' 47

Page v - The logarithm of every number between 10 and 100 is some number between 1 and 2, ie, is 1 plus a fraction. The logarithm of every number between 100 and 1000 is some number between 2 and 3, ie, is 2 plus a fraction, and so on.