 | Thomas Simpson - Logarithms - 1748 - 84 pages
...of them ; fince one Half of the Terms will be intirely deftroyed thereby. Therefore, becaufe the Sum of the Logarithms of any two Numbers is equal to the Logarithm of the Product of thofe Numbers, (fee Article i.) it is manifeft that zx -f ^JL JT^JL &c. will truly exprefs... | |
 | John Rowe - Calculus - 1767 - 266 pages
...how a Ci/oid is generated, art. 34. note. t> a—x-\-ca> x Hyp. Log. of a = (becaufe the Difference of the Logarithms of any two numbers is equal to the Logarithm of their ._ . L . 2 Quotient,) — cxxHyp. Log. of - = the Content of the J a — x Solid ABH required.... | |
 | William Trail - Algebra - 1796 - 334 pages
...;-'-<' '-,••',;- --'-I": 3. Hence the properties of logarithms are eafily deduced. I*''The fum of the logarithms of any two numbers is equal to the logarithm of their product. Le-t b and c be the numbers, m and M their logarithms,^ that am—ti^ and a" =<r, then... | |
 | Thomas Simpson - Trigonometry - 1799 - 92 pages
...of them ; fince one half of the terms will be jntireiy deilroyed thereby. Therefore, becaufe the fum of the logarithms of any two numbers is equal to the logarithm pf the produft of thofe numbers, (jee Article I.) it is mani2A?3 fed that zx + —-+ - &c. will truly... | |
 | John Bonnycastle - Algebra - 1806 - 234 pages
...them, as one half of the terms will, in that cafe, be entirely deftroyed. Since, therefore, the fum of 'the logarithms of any two numbers is equal to the logarithm of the produit of thofe numbers, it is manifeft that 2_r+ — ц -- &c. will truly exprefs the logarithm of... | |
 | Encyclopaedia Britannica - 1810 - 816 pages
...logarithms of all numbers within certain limits may be applied to Amplify calcular tions : for (ince the fum of the logarithms of any two numbers is equal to the logarithm of their produit ; it follows, that as often as we have occafion to find the produit of two or more numbers,... | |
 | Euclides - 1814 - 560 pages
...powers of 1 + a, the numbers 3, 4 ; 5, &c. for the same reasons, will fall into the series. 6. The sum of the logarithms of any two numbers is equal to the logarithm of the riroduct of the same two nnmbm Thus if 1 + a raised to the w th power be equal to the number N, and... | |
 | Euclides - 1816 - 588 pages
...powers of 1 -t. a, the numbers 3, 4, 5, &c. for the same reasons, will fall into the series. 6. The sum of the logarithms of any two numbers is equal to the logarithm of the product of the same two numbers. Thus if 1 .+• a raised to the ntb power be equal to the number N,... | |
 | Encyclopedias and dictionaries - 1816 - 746 pages
...divifion, involution, and evolution, may be performed with.great facility. (*»•) For, fince_ the fum of the logarithms of any two numbers is equal to the logarithm of their product, } 3 ; the product of any two numbers will be found in the table oppofite to that logarithm... | |
 | Encyclopedias and dictionaries - 1823 - 856 pages
...logarithms of all numbers within certain limits may be applied to simplify calculations ; for since the sura of the logarithms of any two numbers is equal to the logarithm of their product, it follows, that as often as we have occasion to find the product of two or more numbers,... | |
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JJ/xJV; hence, The sum of the logarithms of any two numbers is equal to the logarithm of their product. 
