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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Página xxiii
... side , to find the other two sides Given two sides and an angle opposite to one of them , to find the other angles and the third side ... 177 178 III . Given two sides and the included angle , to find the other two angles and the third side ...
... side , to find the other two sides Given two sides and an angle opposite to one of them , to find the other angles and the third side ... 177 178 III . Given two sides and the included angle , to find the other two angles and the third side ...
Página xxiv
... side , its opposite angle , and an adjacent angle ; to find the remaining angle and the other two sides Given the quadrantal side and the other two sides ; to find the three angles 195 ...... ..... 193 SOLUTION OF PROBLEMS IN OBLIQUE ...
... side , its opposite angle , and an adjacent angle ; to find the remaining angle and the other two sides Given the quadrantal side and the other two sides ; to find the three angles 195 ...... ..... 193 SOLUTION OF PROBLEMS IN OBLIQUE ...
Página xxxiv
... sides and the contained angle ; to find the area .. 721 III . Given the three sides ; to find the area 722 IV . V. Given the diameter of ... side of an inscribed square .... XVIII . Given both diameters of an ellipsis ; to find its area ...
... sides and the contained angle ; to find the area .. 721 III . Given the three sides ; to find the area 722 IV . V. Given the diameter of ... side of an inscribed square .... XVIII . Given both diameters of an ellipsis ; to find its area ...
Página 10
... side A E = 3958.75 miles , the earth's semidiameter ; the side AS , A MAE = 232733.6 miles , the moon's distance when in the zenith from the observer at A ; and the angle A E S = 15 ′ 30 ′′ , the moon's mean semidiameter ; to find the ...
... side A E = 3958.75 miles , the earth's semidiameter ; the side AS , A MAE = 232733.6 miles , the moon's distance when in the zenith from the observer at A ; and the angle A E S = 15 ′ 30 ′′ , the moon's mean semidiameter ; to find the ...
Página 18
... sides are expressed by the complement of the latitude , the complement of the polar star's altitude , and the complement of its declination ; in which there are given two sides and the included angle to find the third side ; viz . the ...
... sides are expressed by the complement of the latitude , the complement of the polar star's altitude , and the complement of its declination ; in which there are given two sides and the included angle to find the third side ; viz . the ...
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Términos y frases comunes
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
Pasajes populares
Página 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.
Página 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.
Página 258 - If two triangles have two angles of the one equal to two angles...
Página 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.
Página 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.
Página 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.
Página 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.
Página 154 - REDUCTION OF DECIMALS. CASE I. . To reduce a Vulgar Fraction to a Decimal Fraction of equal value.
Página 177 - II. The sine of the middle part is equal to the product of the cosines of the opposite parts.
Página 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.