The Complete Mathematical and General Navigation Tables: Including Every Table Required with the Nautical Almanc in Finding the Latitude and Longitude: with an Explanation of Their Construction, Use, and Application to Navigation and Nautical Astronomy, Trigonometry, Dialling, Gunnery, Etc
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according added angle answering apparent altitude applied approximate arch base circle co-secant co-sine co-tangent column computed Constant log contained correction corresponding course decimal declination degrees departure determined Diff difference of latitude difference of longitude distance divided earth east equal equator Example expressed figures given gives greater Greenwich half hence horizontal parallax hypothenuse interval less logarithmic manner mean measure meridian miles minutes moon moon's multiplied natural natural number noon observation opposite parallel perpendicular plane points polar PROBLEM prop proportional quadrant radius reduced refraction respective right ascension right hand rising rule sailed secant seconds semidiameter setting ship side sine star star's subtracted sun's Table tabular taken tangent term third transit true versed sine
Page 61 - Also, between the mean, thus found, .and the nearest extreme, find another geometrical mean, in the same manner ; and so on, till you are arrived within the proposed limit of the number whose logarithm is sought.
Page 260 - If two triangles have two angles of the one equal to two angles...
Page 61 - ... progression, to which those indices belong. Thus, the indices 2 and 3, being added together, make 5 ; and the numbers 4 and 8, or the terms corresponding to those indices, being multiplied together, make 32, which is the number answering to the index 5.
Page 61 - And, if the logarithm of any number be divided by the index of its root, the quotient will be equal to the logarithm of that root. Thus the index or logarithm of 64 is 6 ; and, if this number be divided by 2, the quotient will be = 3, which is the logarithm of 8, or the square root of 64.
Page 154 - RULE. Divide as in whole numbers, and from the right hand of the quotient point off as many places for decimals as the decimal places in the dividend exceed those in the divisor.
Page 155 - When there happens to be a remainder after the division ; or when the decimal places in the divisor are more than those in the dividend ; then ciphers may be annexed to the dividend, and the quotient carried on as far as required.
Page 156 - REDUCTION OF DECIMALS. CASE I. . To reduce a Vulgar Fraction to a Decimal Fraction of equal value.
Page 179 - II. The sine of the middle part is equal to the product of the cosines of the opposite parts.
Page 245 - II. the difference of latitude and departure corresponding to each course and distance, and set them in their respective columns : then the difference between the sums of the northings and southings will be the difference of latitude made good, of the same name with the greater ; and the difference between the sums of the eastings and westings will be the departure made good, of the same name with the greater quantity.