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 |
From inside the book
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Page xiii
... transit , he is thus provided with the most safe and ready means of determining his latitude with as much certainty as if the altitude of the object had been observed actu- ally upon the meridian either above or below the pole . In the ...
... transit , he is thus provided with the most safe and ready means of determining his latitude with as much certainty as if the altitude of the object had been observed actu- ally upon the meridian either above or below the pole . In the ...
Page xix
... transit of the moon's enlightened limb over the meridian of an observer . And , as the operation is remarkably simple and concise , it will be found useful to maritime surveyors , and to all others who are in possession of transit ...
... transit of the moon's enlightened limb over the meridian of an observer . And , as the operation is remarkably simple and concise , it will be found useful to maritime surveyors , and to all others who are in possession of transit ...
Page xxii
... transit , in finding the time of high water at any given place ...... 102 XL . Reduction of the moon's horizontal parallax on account of the spheroidal figure of the earth , and mode of computation .... 104 On this subject , see Article ...
... transit , in finding the time of high water at any given place ...... 102 XL . Reduction of the moon's horizontal parallax on account of the spheroidal figure of the earth , and mode of computation .... 104 On this subject , see Article ...
Page xxvi
... transit of the first point of Aries The nodes 26. The aspect of the stars or planets Explanatory Articles . 300 300 300 1 . The division of time 301 .... 2 . The portion of time called a year 301 3 . A solar or tropical year 301 4 . A ...
... transit of the first point of Aries The nodes 26. The aspect of the stars or planets Explanatory Articles . 300 300 300 1 . The division of time 301 .... 2 . The portion of time called a year 301 3 . A solar or tropical year 301 4 . A ...
Page xxvii
... transit of the first point of Aries " may be deduced from each other ...... Equation of time expressed by the difference between the mean sun's right ascension and the true sun's right ascension ...... 315 315 44 . " Sidereal time ...
... transit of the first point of Aries " may be deduced from each other ...... Equation of time expressed by the difference between the mean sun's right ascension and the true sun's right ascension ...... 315 315 44 . " Sidereal time ...
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Common terms and phrases
90 degrees add the log angle of meeting answering approximate auxiliary angle celestial object co-secant co-sine co-tangent co-versed sine comp computed Constant log Corr correction course and distance decimal fraction departure Diff difference of latitude difference of longitude distance sailed earth equal equator Example find the Angle find the Difference fixed star given angle Given arch given log given side hence hypothenuse A C leg AC mean solar merid meridian meridional difference middle latitude miles minutes moon's apparent altitude moon's horizontal parallax multiplied natural number natural sine natural versed sine Nautical Almanac noon observation perpendicular B C plane PROBLEM prop proportional log quadrant radius reduced refraction right angled right ascension right-hand rising and setting secant semidiameter ship side A B side BC sidereal day spherical distance spherical triangle star's subtracted Table tabular tangent trigonometry true altitude tude versed sine supplement
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 206 - 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 258 - 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 152 - 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 153 - 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 154 - REDUCTION OF DECIMALS. CASE I. . To reduce a Vulgar Fraction to a Decimal Fraction of equal value.
Page 177 - II. The sine of the middle part is equal to the product of the cosines of the opposite parts.
Page 243 - 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.