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" The difference of the logarithms, as here used, means the algebraic difference ; so that, if the logarithm of the divisor have a negative characteristic its sign must be changed to positive, after diminishing it by the unit, if any, carried in the subtraction... "
A complete treatise on practical land-surveying - Page 264
by Thomas Holliday - 1838 - 80 pages
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The New Practical Navigator: Being a Complete Epitome of Navigation: to ...

John Hamilton Moore - Nautical astronomy - 1807 - 676 pages
...of the produit ; and if from the logarithm of the dividend you fubtracl the logarithm ofthedivifor, the remainder will be the logarithm of the quotient....divided by 2, the quotient will be the logarithm of the fquare root of that number ;or, ifthe logarithm of any number be divided by 3,the quotient will be...
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The New Practical Navigator: Being a Complete Epitome of Navigation to which ...

John Hamilton Moore - Nautical astronomy - 1807 - 586 pages
...the produit ; and if from the logarithm of the dividend you fubtra«fl the logarithm of the divifor, the remainder will be the logarithm of the quotient....divided by 2, the quotient will be the logarithm of the fquare root ofthat number; or, if the logarithm of any number be divided by 3,the quotient will be...
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The Theory and Practice of Finding the Longitude at Sea Or Land ..., Volume 2

Andrew Mackay - Latitude - 1809 - 414 pages
...7.86:5323 8.777931 PROBLEM IV. To perform Division Inj Logarithms, RULE. From the logarithm of the dividend subtract the logarithm of the divisor, the remainder will be the logarithm of the quotient. If any of the quantities is a decimal, or a mixed number, either the negative index of that quantity,...
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The New Practical Navigator: Being a Complete Epitome of Navigation: to ...

John Hamilton Moore - Nautical astronomy - 1810 - 662 pages
...saved thereby in the. performance of all arithmetical operations ; for if the logarithm of any tv?o numbers be added together, the sum will be the logarithm...logarithm of any. number be divided by 2, the quotient «ill be the logarithm of the square root of that number ; or, if the logarithm of any mmibi-r be divided...
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A Treatise on Surveying, Containing the Theory and Practice: To which is ...

John Gummere - Surveying - 1814 - 398 pages
...the dividend and divisor are both whole or mixed numbers. HUl.E. From the logarithm of the dividend, subtract the logarithm of the divisor, the remainder will be the logarithm of the quotient. Note. — When the divisor exceeds the dividend, the question must be wrought by the rule given in...
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New American Practical Navigator

Nautical astronomy - 1821 - 708 pages
...of a fraction less than unity. Dlt'ISIOff BY LOGARITHMS. Us i,:-. From the logarithm of the dividend subtract the logarithm of the divisor, the remainder will be the logarithm of the quotient. Uiviilr 875 by 25. EXAMPLE I. U75 log. 2.91201 25 log 1.39794 Quotient 35 lug. 1.54407 EXAMPLE 111....
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The New American Practical Navigator: Being an Epitome of Navigation ...

Nathaniel Bowditch - Nautical astronomy - 1826 - 732 pages
...logarithm of a fraction less than unity.DIVISION BY LOGARITHMS. RULE. From the logarithm of the dividend subtract the logarithm of the divisor, the remainder will be the logarithm of the quotient. EXAMPLE I. Divide 875 by 25. 875 log. 2.94201 25 log. 1.39794 EXAMPLE II. Divide 40,32 by 22,4. 40,32...
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The New American Practical Navigator: Being an Epitome of Navigation ...

Nathaniel Bowditch - Nautical astronomy - 1826 - 764 pages
...logarithm of a fraction less than unity. DIVISION BY LOGARITHMS. RCLE. From the logarithm of the dividend subtract the logarithm of the divisor, the remainder will be the logarithm of the quotient. EXAMPLE Drride 875 by 25. 875 log. 2.94201 25 log. 1.39794 Quotient 35 log. 1.54407 EXAMPLE III. Diride...
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A Dictionary of the Military Science: Containing an Explanation of the ...

E. S. Norman Campbell - English language - 1830 - 304 pages
...subtracting ; for if the logarithms of two numbers be added together, the sum will be the logarithm of their product ; and if from the logarithm of the dividend...the remainder will be the logarithm of the quotient. Accurate tables have been published, containing the logarithms of every number, from 1 to 100,000,...
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Elements of Surveying: Including a Description of the Instruments and the ...

Charles Davies - Navigation - 1837 - 342 pages
...the division of their numbers (Art. 3). Hence, if we find the logarithm of the dividend, and from it subtract the logarithm of the divisor, the remainder will be the logarithm of the quotient. This additional caution may be added. The difference of the logarithms, as here used, means the algebraic...
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