Sherwin's Mathematical Tables: Contriv'd After a Most Comprehensive Method: Containing, Dr. Wallis's Account of Logarithms, Dr. Halley's and Mr. Sharp's Ways of Constructing Them; with Dr. Newton's Contraction of Brigg's LogarithmsWilliam Mount and Thomas Page, 1742 - 110 sider |
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Sherwin's Mathematical Tables: Contriv'd After a Most Comprehensive Method ... Uten tilgangsbegrensning - 1742 |
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Side 2 - ... places both in the multiplicand and multiplier; then all the figures on the left hand of the point make the whole number, and those on the right a decimal fraction.
Side 45 - But it is to be noted, that both the complements of the latitudes are to beeilimated from the fame pole of the world ; which may be from either ; and therefore if one latitude be N, and the other s, to have their complements, you muft add 90° to one of them, and fubtra<St the other from 90, and then the operation will be the fame as in the preceding cafes.
Side 11 - Now thefe rativncula are fb to be underflood as in a continued Scale of Proportionals infinite in Number between the two terms of the ratio, . which infinite Number of mean Proportionals is to that infinite Number of the like and equal...
Side 43 - ... 9" with the meridian. And 3dly. That the differences of longitude on different rumbs, are to one another as the tangents of the angles of those rumbs with the meridian. Hence it follows, that the difference of the log. tangents of the half complements of the latitudes, is to the difference of longitude a ship makes in sailing on any rumb from the one latitude to the other, as the tangent of 51° 38
Side 11 - EVOLUTION BY LOGARITHMS. RULE. Divide the logarithm of the number by the index of the power; the quotient will be the logarithm of the root sought. But if the power whose root is to be extracted is a decimal fraction less than unity, prefix to the index of its logarithm a figure less by one than the index of the power...
Side 2 - In division the work is the same as in whole numbers ; only in the quotient, separate with a point, so many figures to the right hand, for a decimal fraction, as there are fractional places in the dividend, more than in the divisor, because there must be so many fractional places in the divisor and quotient together, as there are in the...
Side 13 - Step alone is capable to give the Logarithm of any intermediate Number, true to all the Places of thofe Tables. After the fame manner, may the Difference of the faid two...
Side 46 - Alfo when both Latitudes are of the fame name, (that is both North, or both South) you may add 90 degrees to each of them, the difference of the...
Side 12 - Now, though the Notion of an Infinite Power may feem very ftrange, and to thofe that know the difficulty of the Extraction of the Roots of High Powers, perhaps impracticable ; yet by the help of that admirable Invention of Mr.
Side 7 - And if the given number be a proper vulgar fraction ; subtract the logarithm of the denominator from the logarithm of the numerator, and the remainder will be the logarithm sought ; which, being that of a decimal fraction, must always have a negative index.