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 |
Inni boken
Resultat 1-5 av 98
Side xxiii
... 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 179 IV . Given the three sides of a plane triangle , to ...
... 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 179 IV . Given the three sides of a plane triangle , to ...
Side xxiv
... opposite angle , and an adjacent angle ; to find the remaining angle and the other two sides Given the quadrantal ... opposite to one of them ; to find the other two angles and the third side 198 II . ..... III . Given two angles and a ...
... opposite angle , and an adjacent angle ; to find the remaining angle and the other two sides Given the quadrantal ... opposite to one of them ; to find the other two angles and the third side 198 II . ..... III . Given two angles and a ...
Side 4
... opposite angles will be equal . ( Euclid , Book I. , Prop . 15. ) In this case it is evident that the arc or apparent altitude S D is too little ; and that it must be augmented by the arc DH = the angle of horizontal depression FOQ , in ...
... opposite angles will be equal . ( Euclid , Book I. , Prop . 15. ) In this case it is evident that the arc or apparent altitude S D is too little ; and that it must be augmented by the arc DH = the angle of horizontal depression FOQ , in ...
Side 6
... opposite to which , in the following column , stands the corresponding correction ; which is to be subtracted from the observed altitude of a celestial object when taken by the fore observation ; but to be " added thereto when the back ...
... opposite to which , in the following column , stands the corresponding correction ; which is to be subtracted from the observed altitude of a celestial object when taken by the fore observation ; but to be " added thereto when the back ...
Side 7
... opposite to the perpendicular : hence , since the base and perpendicular of that triangle are known , we have the following general Rule . As the base or ship's distance from the land , is to the radius , so is the perpendicular , or ...
... opposite to the perpendicular : hence , since the base and perpendicular of that triangle are known , we have the following general Rule . As the base or ship's distance from the land , is to the radius , so is the perpendicular , or ...
Innhold
355 | |
361 | |
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385 | |
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405 | |
83 | |
102 | |
114 | |
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123 | |
147 | |
154 | |
179 | |
193 | |
202 | |
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215 | |
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272 | |
285 | |
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349 | |
413 | |
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462 | |
515 | |
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531 | |
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732 | |
739 | |
745 | |
Vanlige uttrykk og setninger
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
Populære avsnitt
Side 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.
Side 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.
Side 258 - If two triangles have two angles of the one equal to two angles...
Side 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.
Side 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.
Side 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.
Side 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.
Side 154 - REDUCTION OF DECIMALS. CASE I. . To reduce a Vulgar Fraction to a Decimal Fraction of equal value.
Side 177 - II. The sine of the middle part is equal to the product of the cosines of the opposite parts.
Side 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.