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
Results 1-5 of 100
Page 3
... added thereto in the back observation , will show its apparent central altitude . The corrections in this Table were deduced from the following considera- tions , and agreeably to the principles established in the annexed diagram . Let ...
... added thereto in the back observation , will show its apparent central altitude . The corrections in this Table were deduced from the following considera- tions , and agreeably to the principles established in the annexed diagram . Let ...
Page 6
... added thereto when the back observation is used , as before stated . Thus the dip , answering to 20 feet above the level of the sea , is 4:17 " TABLE III . Dip of the Horizon at different Distances from the Observer . If a ship be ...
... added thereto when the back observation is used , as before stated . Thus the dip , answering to 20 feet above the level of the sea , is 4:17 " TABLE III . Dip of the Horizon at different Distances from the Observer . If a ship be ...
Page 21
... added , the sum ( rejecting 24 hours if necessary ) will be the right ascension of the meridian , sufficiently near the truth for the purpose of determining the latitude .. TABLE XIII . Equations to equal Altitudes . - FIRST PART . The ...
... added , the sum ( rejecting 24 hours if necessary ) will be the right ascension of the meridian , sufficiently near the truth for the purpose of determining the latitude .. TABLE XIII . Equations to equal Altitudes . - FIRST PART . The ...
Page 27
... added to the moon's longitude at the preceding noon or midnight , but to be applied by addition , or subtraction , to the moon's latitude , semidi- ameter , and horizontal parallax , according as they are increasing or decreasing . And ...
... added to the moon's longitude at the preceding noon or midnight , but to be applied by addition , or subtraction , to the moon's latitude , semidi- ameter , and horizontal parallax , according as they are increasing or decreasing . And ...
Page 36
... added to the proportional part of the moon's motion if the first first difference is greater than the third first difference , but subtracted if it be less , the sum or difference will be the correct propor- tional part of the moon's ...
... added to the proportional part of the moon's motion if the first first difference is greater than the third first difference , but subtracted if it be less , the sum or difference will be the correct propor- tional part of the moon's ...
Contents
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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.