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, EtcSimpkin, Marshall, & Company, 1838 - Nautical astronomy |
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Common terms and phrases
arch celestial object central altitude circle co-latitude co-secant co-sine co-tangent comp computed Constant log corresponding course and distance decimal degrees departure BC difference of latitude difference of longitude dist distance sailed ditto earth east ecliptic equal equation Example find the Angle find the Course find the Difference find the side fixed star given angle Greenwich Half sum half the sum hence horary distance hypothenuse AC King's Island Latitude and Longitude leg AC logarithm Merid meridian meridional difference middle latitude miles minutes moon natural number natural versed sine Nautical Almanac noon place of observation plane points polar angle Port Jackson Problem Prop proportional quadrant radius reduced refraction right ascension RULE secant seconds semidiameter sextant side A B side BC sidereal spherical distance spherical triangle spherical trigonometry star's subtracted Table tangent transit trigonometry true altitude true central distance tude zenith distance
Popular passages
Page 59 - 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 198 - For the purpose of measuring angles, the circumference is divided into 360 equal parts, called degrees ; each degree into 60 equal parts, called minutes ; each minute into 60 equal parts called seconds.
Page 240 - If two triangles have two angles of the one equal to two angles...
Page 59 - ... 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 59 - 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 144 - 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 145 - 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 146 - REDUCTION OF DECIMALS. CASE I. . To reduce a Vulgar Fraction to a Decimal Fraction of equal value.
Page 169 - II. The sine of the middle part is equal to the product of the cosines of the opposite parts.
Page 235 - 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.