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
24 hours ascension at noon auxiliary angle celestial object co-secant co-sine co-tangent column computed Constant log Correction of ditto corresponding course and distance decimal declination at noon degrees departure Diff difference of latitude difference of longitude dist east equation Example fixed star Greenwich Half sum hence horizontal parallax hypothenuse King's Island leg AC mean merid meridian meridian of Greenwich meridional altitude meridional difference middle latitude miles minutes moon's apparent altitude Moon's reduced Moon's true natural number natural versed sine Nautical Almanac observed altitude perpendicular place of observation planet's Port Jackson Problem Prop proportional log radius reduced right ascension refraction required the true RULE secant seconds semi-diameter side A B spherical distance spherical triangle spherical trigonometry subtracted sun's declination sun's lower limb Sun's reduced right Sun's right ascension Table tangent true altitude true central altitude true central distance watch
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 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,...