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, Etc

Simpkin, Marshall, & Company, 1838
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The epact or moons age on the first of January
To find the dominical letter
The length of the solar days always varying
Signs of the equation of time to be marked contrary in relation to mean time
Mean sun synonymous to the first point of Aries
The mean suns right ascension or the sidereal time in page II of the month in the Ephemeris and the mean time of transit of the first point of Aries ma...
The adjustment and use of nautical instruments
To set the indexglass perpendicular to the plane of the sextant c
To set the horizonglass by means of the suns image
Error arising from an inclination of the time of collimation to the plane
To make the line of collimation parallel to the plane of the sextant
Excellence of Berges sextants
The manner of finding the index error of a sextant
A more correct method of finding ditto and how to read off to the right hand of zero or off the arch
The true method of finding the index error of a sextant so as to guard against the errors arising from the flexibility and friction of the index bar
Relative to celestial observations
To take the moons altitude at sea
Given the mean time of the moons transit over the meridian of Green
To reduce the moons semidiameter horizontal parallax longitude
To reduce the geocentric right ascension and declination of a planet as
Given the observed altitude of the lower or upper limb of the sun to find
To find the obliquity of the ecliptic

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Side 61 - 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 208 - 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 260 - If two triangles have two angles of the one equal to two angles...
Side 61 - ... 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.
Side 61 - 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 154 - 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.
Side 155 - 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 156 - REDUCTION OF DECIMALS. CASE I. . To reduce a Vulgar Fraction to a Decimal Fraction of equal value.
Side 179 - II. The sine of the middle part is equal to the product of the cosines of the opposite parts.
Side 245 - 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.

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