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, Τόμος 1

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Baldwin and Cradock, 1828 - 664 σελίδες
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Επιλεγμένες σελίδες

Περιεχόμενα

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
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
Amplitudes of a celestial object reckoned from the true east or west point of the horizon
122
To find the times of the rising and setting of a celestial object
123
For computing the meridional altitude of a celestial object the latitude and the declination being of the same name
138
To find what stars will be on or nearest to the meridian at
319
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
Given the latitude by account the altitude of a fixed star observed
365
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
chronometer or timekeeper
423
distance
433
Problem Page
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
To find the longitude of a place by the eclipses of the moon
481
Given the latitude of a place the suns altitude and his magnetic
487
rising and setting
506
SOLUTION OF PROBLEMS in GNOMONICS or DIALLING
522
RELATIVE
528
Problem Page
531
Given the distances between three objects situated in a straight
541
Given a base line measured on any elevated level to find its true
547
Given three bearings of a ship sailing upon a direct course
553
find its weight
560
Problem Page
564
To find the number of balls or shells in an incomplete rectangnlar
570
Given the range at one elevation to find the range at another
576
Given the inclination of the plane the elevation of the piece
582
Given the impetus and the elevation to find the horizontal range
589
SOLUTION OF PROBLEMS IN GAUGING
596
SOLUTION OF MiscellaNEOUS PROBLEMS
607
To find the distance of the sun from the earth
614
of the earth
649
SOLUTION OF USEFUL ASTRONOMICAL PROBLEMS
672
doctrine of compound interest
687
Description and use of the general victualling table
717

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Δημοφιλή αποσπάσματα

Σελίδα 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.
Σελίδα 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...
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 487 - ... 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.
Σελίδα 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.
Σελίδα 681 - The Young Navigator's Guide to the Sidereal and Planetary Parts of Nautical Astronomy.
Σελίδα 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,...
Σελίδα 183 - II. The sine of the middle part is equal to the product of the cosines of the opposite parts.

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