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 1Baldwin and Cradock, 1828 - 664 σελίδες |
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Αποτελέσματα 1 - 5 από τα 100.
Σελίδα 43
... remainder will be a log . , which , being diminished by the constant log . .300910 , * will give the logarithmic cosine of the auxiliary angle . Example . Let the moon's apparent altitude be 4 degrees , and her horizontal paral- lax 55 ...
... remainder will be a log . , which , being diminished by the constant log . .300910 , * will give the logarithmic cosine of the auxiliary angle . Example . Let the moon's apparent altitude be 4 degrees , and her horizontal paral- lax 55 ...
Σελίδα 44
... Remainder 0.000093 Const . log . 0.000120 Difference 0.000027 60 : 0 0 Log . cosine 9.698970 Arch Difference . · 60. 0. 8 Log . cosine 9.698943 0 : 0 8 ; which , therefore , is the required correction of the auxiliary angle . In this ...
... Remainder 0.000093 Const . log . 0.000120 Difference 0.000027 60 : 0 0 Log . cosine 9.698970 Arch Difference . · 60. 0. 8 Log . cosine 9.698943 0 : 0 8 ; which , therefore , is the required correction of the auxiliary angle . In this ...
Σελίδα 54
... the two equidistant extremes ; from which let either extreme be subtracted , and the remainder will be the sine of the other extreme : as thus , To find the Sine of the Arc of 2 Minutes 54 DESCRIPTION AND USE OF THE TABLES .
... the two equidistant extremes ; from which let either extreme be subtracted , and the remainder will be the sine of the other extreme : as thus , To find the Sine of the Arc of 2 Minutes 54 DESCRIPTION AND USE OF THE TABLES .
Σελίδα 71
... remainder will be the log . of the quotient ; the natural number corre- sponding to which will be the quotient required . Example 1 . Divide 1497 by 93 . 1497 Log . = 3.175222 93 Log . = 1 : 968483 * Quo . 16.0968 Log . 1.206739 Example ...
... remainder will be the log . of the quotient ; the natural number corre- sponding to which will be the quotient required . Example 1 . Divide 1497 by 93 . 1497 Log . = 3.175222 93 Log . = 1 : 968483 * Quo . 16.0968 Log . 1.206739 Example ...
Σελίδα 100
... remainder will be the log . tangent of that arch ; the difference between which and twice the radius , will be its log . co - tangent . Example . Required the log . tangent , and co - tangent , of 32:39:40 " ? Log . sine of the given ...
... remainder will be the log . tangent of that arch ; the difference between which and twice the radius , will be its log . co - tangent . Example . Required the log . tangent , and co - tangent , of 32:39:40 " ? Log . sine of the given ...
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Συχνά εμφανιζόμενοι όροι και φράσεις
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
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.