The Complete Mathematical and General Navigation Tables: Including Every Table Necessary to be Used with the Nautical Almanac in Finding the Latitude and Longitude : with Their Description and Use, Comprising the Principles of Their Construction, and Their Direct Application to Plane and Spherical Trigonometry, Navigation, Nautical Astronomy, Dialling, Practical Gunnery, Mensuration, Guaging &c. &c, Volume 1

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Baldwin and Cradock, 1828 - Nautical astronomy - 664 pages
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Contents

Correction of the mean astronomical refraction
15
To find the latitude by the north polar star
17
Correction of the latitude deduced from the preceding table
20
Mean right ascension of the sun
21
Equations to equal altitudes of the sun part First
22
To reduce the suns longitude right ascension and declination and also the equation of time as given in the Nautical Almanac to any given time under ...
25
To reduce the moons longitude latitude right ascension declin ation semidiameter and horizontal parallax as given in the Nautical Almanac to any giv...
30
Equation of the second difference of the moons place
33
Correction of the moons apparent altitude
38
To reduce the true altitudes of the sun moon stars and planets to their apparent altitudes
40
Auxiliary angles
42
Correction of the auxiliary angle when the moons distance from a planet is observed
45
Error arising from a deviation of one minute in the parallelism of the surfaces of the central mirror of the circular instrument of reflection
46
Error arising from an inclination of the line of collimation to the plane of the sextant or to that of the circular instrument of re flection
47
Logarithmic difference
48
rent altitude
51
Logarithms of numbers
62
Logarithmic secants to every second in the semicircle
90
Logarithmic tangents to every second in the semicircle
97
Acceleration of the fixed stars or to reduce sidereal time into
117
latitude and the declination being of the same name
138
LIU The miles and parts of a mile in a degree of longitude at every
144
Table Page
145
Latitudes and longitudes of the principal seaports islands capes
154
Solution or Problems in Plane and Spherical Trigono
168
Navigation
211

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Page 19 - Given two sides and the included angle, to find the third side and the remaining angles. The sum of the required angles is found by subtracting the given angle from 180°. The difference of the required angles is then found by Theorem II. Half the difference added to half the sum gives the greater angle, and, subtracted, gives the less angle.
Page 484 - AZIMUTH, in astronomy, an arch of the horizon, intercepted between the meridian of the place and the azimuth, or vertical circle passing through the centre of the object, which...
Page 212 - 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 63 - 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 63 - 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 487 - ... reckoned from the north in north latitude, but from the south in south latitude. ğ In observations of the altitude of the sun'< loiter limb (by afore enervation) it is uĞuğl to ğ<M 12' for tic cBecl of dip, parallax, ami sern diameter.
Page 159 - 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 681 - The Young Navigator's Guide to the Sidereal and Planetary Parts of Nautical Astronomy.
Page 649 - ... position with respect to a luminous body, can cast a circular shadow ; likewise all calculations of eclipses, and of the places of the planets, are made upon supposition that the earth is a sphere, and they all answer to the true times when accurately calculated. When an eclipse of the moon happens, it is observed sooner by those who live eastward than by those who live westward ; and, by frequent experience, astronomers have determined that, for every fifteen degrees difference of longitude,...
Page 183 - II. The sine of the middle part is equal to the product of the cosines of the opposite parts.

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