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

Front Cover
Baldwin and Cradock, 1828 - Nautical astronomy - 664 pages


Logarithms of numbers
Proportional logarithms
Logarithmic half elapsed time
Logarithmic middle time
Logarithmic rising
To reduce points of the compass to degrees and conversely
Logarithmic secants to every second in the semicircle
Logarithmic sines to every second in the semicircle
Logarithmic tangents to every second in the semicircle
To reduce the time of the moons passage over the meridian of Greenwich to the time of her passage over any other meridian
Correction to be applied to the time of the moons reduced transit in finding the time of high water at any given place
Reduction of the moons horizontal parallax on account of the spheroidal figure of the earth
Reduction of terrestrial latitude on account of the spheroidal figure of the earth
A general traverse table or difference of latitude and departure
Meridional parts
The mean right ascensions and declinations of the principal fixed stars
Acceleration of the fixed stars or to reduce sidereal time into mean solar time
To reduce mean solar time into sidereal time
Altitude of a celestial object when its centre is in the prime ver tical most proper for determining the apparent time with the greatest accuracy
Amplitudes of a celestial object reckoned from the true east or west point of the horizon
To find the times of the rising and setting of a celestial object
For computing the meridional altitude of a celestial object the latitude and the declination being of the same name
The miles and parts of a mile in a degree of longitude at every degree of latitude
Table Page
Latitudes and longitudes of the principal seaports islands capes

Common terms and phrases

Popular passages

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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