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 |
From inside the book
Results 1-5 of 100
Page xxii
... difference , and how determined .... XXV . Correction of the log . difference for the sun , or a fixed star XXVI ... find the arch corresponding to a given log . tangent by means of a table of log . sines , - See Remark , page 98 . To find ...
... difference , and how determined .... XXV . Correction of the log . difference for the sun , or a fixed star XXVI ... find the arch corresponding to a given log . tangent by means of a table of log . sines , - See Remark , page 98 . To find ...
Page xxiv
... find the remaining angle and the other two sides Given the quadrantal side and the other two sides ; to find the ... difference of latitude ...... Given the latitude left and the difference of latitude ; to find the latitude in Given the ...
... find the remaining angle and the other two sides Given the quadrantal side and the other two sides ; to find the ... difference of latitude ...... Given the latitude left and the difference of latitude ; to find the latitude in Given the ...
Page xxv
... find the other latitude , the course , and the difference of longitude .. Page . 230 ...... Given both latitudes and the departure ; to find the course , distance , and difference of longitude ... 232 VIII . Given one latitude ...
... find the other latitude , the course , and the difference of longitude .. Page . 230 ...... Given both latitudes and the departure ; to find the course , distance , and difference of longitude ... 232 VIII . Given one latitude ...
Page xxxiii
... find the number of balls in an incomplete triangular pile .. To find the number of balls in an incomplete square ... difference of longitude between two places ; to find their distance Given the distance between two places ; to find ...
... find the number of balls in an incomplete triangular pile .. To find the number of balls in an incomplete square ... difference of longitude between two places ; to find their distance Given the distance between two places ; to find ...
Page 31
... Find the difference of transit between the given day and the day fol- lowing , if the longitude be west , but the day preceding if east ; and it will be the daily retardation of transit . Then say , As the sum of 24 hours and the ...
... Find the difference of transit between the given day and the day fol- lowing , if the longitude be west , but the day preceding if east ; and it will be the daily retardation of transit . Then say , As the sum of 24 hours and the ...
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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.