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, EtcSimpkin, Marshall, & Company, 1838 |
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Αποτελέσματα 1 - 5 από τα 59.
Σελίδα 169
... side A B be made radius , BC will be the tangent , and AC the secant , of the angle A : -And , if BC be the radius , AB will be the tangent , and AC the secant of the angle C. For , if we make the hypothenuse AC radius ( Fig . 1 ...
... side A B be made radius , BC will be the tangent , and AC the secant , of the angle A : -And , if BC be the radius , AB will be the tangent , and AC the secant of the angle C. For , if we make the hypothenuse AC radius ( Fig . 1 ...
Σελίδα 172
... AB : - As the angle A = 53 : 7 : 48 " Is to hypothenuse AC So is radius = 90 % 246.5 Log . = Log . sine = • · Log ... Side , to find the Hypothenuse and the other Example . Side . Let the base AB of the annexed triangle A B C , be 300.5 ...
... AB : - As the angle A = 53 : 7 : 48 " Is to hypothenuse AC So is radius = 90 % 246.5 Log . = Log . sine = • · Log ... Side , to find the Hypothenuse and the other Example . Side . Let the base AB of the annexed triangle A B C , be 300.5 ...
Σελίδα 174
... AB 300. 5 Log . = · · 2.477845 So is radius 90 : Log . sine = 10.000000 · To the perpendicular BC = 260. 4 = Log . . 2.415647 PROBLEM III . Given the Hypothenuse and One Side , to find the Angles and the Other Side . Example . Let the ...
... AB 300. 5 Log . = · · 2.477845 So is radius 90 : Log . sine = 10.000000 · To the perpendicular BC = 260. 4 = Log . . 2.415647 PROBLEM III . Given the Hypothenuse and One Side , to find the Angles and the Other Side . Example . Let the ...
Σελίδα 175
... side , add the log . of their difference ; then , half the sum of these two logs , will be the log . of the required side : -as thus ; Hypothenuse AC ... A B 262.5 By making the base A B radius ; the perpendicular PLANE TRIGONOMETRY . 175.
... side , add the log . of their difference ; then , half the sum of these two logs , will be the log . of the required side : -as thus ; Hypothenuse AC ... A B 262.5 By making the base A B radius ; the perpendicular PLANE TRIGONOMETRY . 175.
Σελίδα 177
... A B = Perpendicular BC = 210.4 Log . • 262.5 twice the log . 4.838258 = 2.323046 , 2.323046 Natural number 327.5 Log ... Side of an Oblique - angled Plane Triangle , to find the other Sides . RULE . As the Log . sine of any given angle , is ...
... A B = Perpendicular BC = 210.4 Log . • 262.5 twice the log . 4.838258 = 2.323046 , 2.323046 Natural number 327.5 Log ... Side of an Oblique - angled Plane Triangle , to find the other Sides . RULE . As the Log . sine of any given angle , is ...
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Συχνά εμφανιζόμενοι όροι και φράσεις
90 degrees add the log angle of meeting answering approximate auxiliary angle celestial object co-secant co-sine co-tangent co-versed sine comp computed Constant log Corr correction course and distance decimal fraction departure Diff difference of latitude difference of longitude distance sailed earth equal equator Example find the Angle find the Difference fixed star given angle Given arch given log given side hence hypothenuse A C leg AC mean solar merid meridian meridional difference middle latitude miles minutes moon's apparent altitude moon's horizontal parallax multiplied natural number natural sine natural versed sine Nautical Almanac noon observation perpendicular B C plane PROBLEM prop proportional log quadrant radius reduced refraction right angled right ascension right-hand rising and setting secant semidiameter ship side A B side BC sidereal day spherical distance spherical triangle star's subtracted Table tabular tangent trigonometry true altitude tude versed sine supplement
Δημοφιλή αποσπάσματα
Σελίδα 59 - 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 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.
Σελίδα 258 - If two triangles have two angles of the one equal to two angles...
Σελίδα 59 - ... 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.
Σελίδα 59 - 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 152 - 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.
Σελίδα 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.
Σελίδα 154 - REDUCTION OF DECIMALS. CASE I. . To reduce a Vulgar Fraction to a Decimal Fraction of equal value.
Σελίδα 177 - II. The sine of the middle part is equal to the product of the cosines of the opposite parts.
Σελίδα 243 - 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.