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" ... the logarithm of a fraction is equal to the logarithm of the numerator minus the logarithm of the denominator. "
Elements of Geometry and Trigonometry - Page 232
by Adrien Marie Legendre - 1838 - 269 pages
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Elements of Surveying: Including a Description of the Instruments and the ...

Charles Davies - Navigation - 1837 - 336 pages
...equal to the quotient obtained by dividing the numerator by the denominator, its logarithm will be equal to the logarithm of the numerator minus the logarithm of the denominator. Therefore, log yTy=log 3678— log 100 = 3.565612—2 = 1.565612 from which we see, that a mixed number...
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Elements of Surveying: With a Description of the Instruments and the ...

Charles Davies - Surveying - 1839 - 376 pages
...equal to the quotient obtained by dividing the numerator by the denominator, its logarithm will be equal to the logarithm of the numerator minus the logarithm of the denominator. Therefore, log VoV=lg 3678 — log 100 = 3.565612 — 2 = 1.565612 from which we see, that a mixed...
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Elements of Surveying: With a Description of the Instruments and the ...

Charles Davies - Surveying - 1839 - 380 pages
...equal to the quotient obtained by dividing the numerator by the denominator, its logarithm will be equal to the logarithm of the numerator minus the logarithm of the denominator. Therefore, log VW=log 3678 — log 100 = 3.565612 — 2 = 1.565612 from which we see, that a mixed...
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Elements of Surveying, and Navigation: With a Description of the Instruments ...

Charles Davies - Navigation - 1841 - 406 pages
...greater than the number of ciphers between the decimal point and the first significant figure. Therefore, the logarithm of a decimal fraction is found, by considering it as a whole number, and then prefixing to the deci. mal part of its logarithm a negative characteristic greater by unity than the number of ciphers...
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Elements of Surveying, and Navigation: With a Description of the Instruments ...

Charles Davies - Navigation - 1835 - 359 pages
...equal to the quotient obtained by dividing the numerator by the denominator, its logarithm will be equal to the logarithm of the numerator minus the logarithm of the denominator. Therefore, log VlV=log 878 — log 100 = 3.565012 — 2 = 1.565612 from which we see, that a mixed...
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A Series on Elementary and Higher Geometry, Trigonometry, and Mensuration ...

Nathan Scholfield - Conic sections - 1845
...is the logarithm of that is to say, The logarithm of a fraction, or of the quotient of two numbers, is equal to the logarithm of the numerator minus the logarithm of the denominator. III. Raise both members of equation (1) to the power of n. N" =a" „•. by def. (2), nx is the logarithm...
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Higher Geometry and Trigonometry: Being the Third Part of a Series on ...

Nathan Scholfield - Conic sections - 1845 - 244 pages
...Divide equation (1) by (2), N_a* N' a* The logarithm of a fraction, or of the quotient of two numbers, is equal to the logarithm of the numerator minus the logarithm of the denominator. III. Raise both members of equation (1) to the power of n. N" =a" .*. by def. (2), na; is the logarithm...
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Elements of plane (solid) geometry (Higher geometry) and trigonometry (and ...

Nathan Scholfield - 1845 - 896 pages
...Divide equation (1) by (2), N_o*_ N'~^ The logarithm of a fraction, or of the quotient of two numbers, is equal to the logarithm of the numerator minus the logarithm of the denominator. III. Raise both members of equation (1) to the power of n. Nn =a" .-. by def. (2), nx is the logarithm...
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Elements of Surveying, and Navigation: With a Description of the Instruments ...

Charles Davies - Navigation - 1846 - 388 pages
...greater than the number of ciphers between the decimal point and the first significant figure. Therefore, the logarithm of a decimal fraction is found, by considering...than the number of ciphers between the decimal point ana the first significant figure. That we may not, for a moment, suppose the negative sign to belong...
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A Treatise on Algebra

Elias Loomis - Algebra - 1846 - 346 pages
...16000 = log. 1600 = 4i + 2, log. 160000 =, &c. We have seeri, in Art. 323, that the logarithm of a fraction is equal to the logarithm of the numerator minus the logarithm of the denominator. Hence, log. (y) = log. 5 = 1 — x. Hence, log. 50 = 2 — x, log. 5000 = log. 500 =3 — x, log. 50000...
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