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 |
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Σελίδα xxvii
... sun's meridian distance Mean time Sidereal time , or right ascension of the meridian The equation of time ... ..... The length of the solar days always varying .. 308 308 309 309 309 309 310 35 . ..... Illustration of apparent time ...
... sun's meridian distance Mean time Sidereal time , or right ascension of the meridian The equation of time ... ..... The length of the solar days always varying .. 308 308 309 309 309 309 310 35 . ..... Illustration of apparent time ...
Σελίδα xxix
... sun's right ascension and declination , the equation of time , and the sun's longitude , as given in the Nautical Almanac ; to any given mean time under a known meridian To reduce the moon's semidiameter , horizontal parallax ...
... sun's right ascension and declination , the equation of time , and the sun's longitude , as given in the Nautical Almanac ; to any given mean time under a known meridian To reduce the moon's semidiameter , horizontal parallax ...
Σελίδα xxx
... sun .... 394 398 VIII . To find the latitude by the altitudes of two known fixed stars , observed at any time of the night ........ .... 405 IX . To find the latitude by an altitude of the sun's limb observed near the meridian .... 413 ...
... sun .... 394 398 VIII . To find the latitude by the altitudes of two known fixed stars , observed at any time of the night ........ .... 405 IX . To find the latitude by an altitude of the sun's limb observed near the meridian .... 413 ...
Σελίδα 13
... sun's apparent altitude , add the constant log . 0.945124 , ( the log . of the sun's mean horizontal parallax estimated at 8 " . 813 , ) and the sum , rejecting 10 from the index , will be the log . of the parallax in altitude ; as thus ...
... sun's apparent altitude , add the constant log . 0.945124 , ( the log . of the sun's mean horizontal parallax estimated at 8 " . 813 , ) and the sum , rejecting 10 from the index , will be the log . of the parallax in altitude ; as thus ...
Σελίδα 22
... sun's declination be 18:30 , and the interval between the observed equal altitudes of the sun 4 hours ; required the corresponding equation ? Sun's declination 18:30 : Log . co - tang . 10. 4755 Half interval 2 ho . in degs . 30. 0 ...
... sun's declination be 18:30 , and the interval between the observed equal altitudes of the sun 4 hours ; required the corresponding equation ? Sun's declination 18:30 : Log . co - tang . 10. 4755 Half interval 2 ho . in degs . 30. 0 ...
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Συχνά εμφανιζόμενοι όροι και φράσεις
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
Δημοφιλή αποσπάσματα
Σελίδα 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.
Σελίδα 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.
Σελίδα 258 - If two triangles have two angles of the one equal to two angles...
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 154 - REDUCTION OF DECIMALS. CASE I. . To reduce a Vulgar Fraction to a Decimal Fraction of equal value.
Σελίδα 177 - II. The sine of the middle part is equal to the product of the cosines of the opposite parts.
Σελίδα 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.