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, Volum 1

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Baldwin and Cradock, 1828 - 664 sider

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Parallax of the sun in altitude
13
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
Table Page XXV Correction of the logarithmic difference for the suns or stars appa rent altitude
51
Correction of the logarithmic difference for a planets apparent altitude
52
Natural versed sines and natural sines
53
Pagè
58
Logarithms of numbers
62
Proportional logarithms
75
Logarithmic half elapsed time
84
Logarithmic middle time
86
Logarithmic rising
87
To reduce points of the compass to degrees and conversely
89
Logarithmic secants to every second in the semicircle
90
Logarithmic sines to every second in the semicircle
93
Logarithmic tangents to every second in the semicircle
97
To reduce the time of the moons passage over the meridian of Greenwich to the time of her passage over any other meridian
100
Correction to be applied to the time of the moons reduced transit in finding the time of high water at any given place
102
Reduction of the moons horizontal parallax on account of the spheroidal figure of the earth
104
Reduction of terrestrial latitude on account of the spheroidal figure of the earth
105
A general traverse table or difference of latitude and departure
106
Meridional parts
113
The mean right ascensions and declinations of the principal fixed stars
114
Acceleration of the fixed stars or to reduce sidereal time into mean solar time
117
To reduce mean solar time into sidereal time
119
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
120
Solution of problems relative to the errors of the log line and
272
SOLUTION OF PROBLEMS in Nautical AstroNOMY
296
Problem Page
297
Given the observed central altitude of a planet to find its true
325
Given the meridian altitude of a planet to find the latitude
333
Problem Page
337
SOLUTION OF PROBLEMS RELATIVE TO THE APPARENT Time
375
Of computing the horary distance of a celestial
392
Problem Page
394
Solution of PROBLEMS RELATIVE TO FINDING THE ALTITUDES
403
Solution OF PROBLEMS RELATIVE TO THE LONGITUDE
413
Given the latitude of a place and the observed altitude of
420
To find the longitude of a ship or place by celestial observation
431
ht Method IV Of reducing the apparent to the true central
439
Of reducing the apparent to the true central
445
Of reducing the apparent to the true central
451
tude by account to find the true longitude of the place
470
satellites
478
azimuth to find the variation of the compass
487
SOLUTION OF PROBLEMS RELATIVE TO THE Rising AND SETTING
500
rising and setting
506
SOLUTION OF PROBLEMS IN GNOMONICS OR DIALLING
522
RELATIVE
528
of direction
532
e triangle formed by the right lines connecting them
539
5 measure at the surface of the sea
547
SOLUTION OF PROBLEMS IN PRACTICAL GUNNERY
557
Problem Page
564
To find the number of balls or shells in an incomplete rectangnlar
570
To find the greatest range of a shot or shell and the elevation
576
Given the inclination of the plane the elevation of the piece
582
57
596
V
610
To find the distance of the sun from the earth
614
To find the comparative heat and light which the different planets
620
SOLUTION OF USEFUL ASTRONOMICAL PROBLEMS
672
doctrine of compound interest
687
Description and use of the general victualling table
717

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Side 13 - 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.
Side 478 - 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...
Side 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.
Side 57 - 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.
Side 57 - 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.
Side 481 - ... reckoned from the north in north latitude, but from the south in south latitude. » In observations of the altitude of the sun'< loiter limb (by afore enervation) it is u«u»l to »<M 12' for tic cBecl of dip, parallax, ami sern diameter.
Side 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.
Side 675 - The Young Navigator's Guide to the Sidereal and Planetary Parts of Nautical Astronomy.
Side 643 - ... 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,...
Side 177 - II. The sine of the middle part is equal to the product of the cosines of the opposite parts.

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