Sherwin's Mathematical Tables: Contriv'd in an Easy and Comprehensive Manner, Containing, Dr. Wallis's Account of Logarithms and Various Methods of Computing Them, According to the Latest Improvement, Viz. a Table of Logarithms of Numbers from 1 to 101000, with the Means to Find Readily the Logarithm of Any Number, Or the Number for the Logarithm, to Seven Places of Figures. And Tables of Natural and Logarithmic Sines, Tangents, &c. to Every Degree and Minute of the Quadrant, by Inspection, and with Very Little Trouble (by Help of Proper Multipliers) to Every Single Second Thereof. With the Explication and Use Prefixed |
Other editions - View all
Popular passages
Page 24 - ... &c. each in its proper column, the title being at the top or bottom, according as the degrees are. But when the given arc contains any parts of a minute, intermediate to those found in the table, take the difference between the tabular sines, &c.
Page 11 - Index of the power, the complement of the. quotient is the Log. of the root fought. Example. Let the Q.
Page 11 - 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,* and divide the whole by the index of the power ; the quotient will be the logarithm of the root sought.
Page 48 - Latitode and Departure, at the Top and Bottom. Example i. Given the Difference of Latitude 59 Miles S. and the Departure 68 Miles W. the Courfe and Diftance are required. In the double Column over 9 even with 49 Degrees at the right Hand Sidcj is found together the given Difference of Latitude and Departure i therefore the Courfe is 49 Deg.
Page 2 - Ire fraction places both in the multiplicand and multiplier, then all the figures on the left hand of the point make a whole number, and thofe on the right a Decimal Fraction.
Page 13 - R% the amount of one pound in two years ; and therefore as I to R, fo is R% the fum forborn the third year, to R3, the amount in three years : whence it appears that R", or R raifed to the power whofe exponent is the number of years, will be the amount of one pound in thofe years. But >as i A is to its amount R", fo is P to ( a) its amount, in the fame time ; whence we have PX R" =r a. Moreover, becaufe the amount of one pound, in nyears, is R", its increafe in that time will be R...
Page 51 - That such log. tangents of Mr. Briggs's form, are a scale of the differences of longitude, on the rumb which makes an angle of 51° 38' 9
Page 33 - Having the hypotenuse, and one of the angles; to find <Ae leg opposed to the given angle. Add the sine of the hypotenuse to the sine of the angle given ; the sum (abating radius) is the sine of the leg required. Example, in the right-angled triangle ABC, having the hypotenuse AB 30°, and the angle ВАС 23° 30' ; to find the leg вс. 9-6989700 sin. hyp. AB. . 30° 00
Page 3 - Ex. 3. If there be more decimal places in the dividend» than are in the divifor and quotient together, place cyphers at the left hand of the quotient, to compleat the number, as Ex, 5. where one cypher is prefix'd. Annex what number of cyphers you pleafe to the right hand of the dividend ; (fee Rule 3 ) but if the dividend be made to have Divifor Dividend Quotient three fraction places more than are 675) 23489000 ( 347.98 in the...
Page 46 - Find the course 2j points on the left-hand side of each page, and even with it in the double columns signed 3 and 7, the two figures of the distance buh the difference of latitude for 30 is 25...