Tables of Logarithms of Numbers and of Sines and Tangents for Every Ten Seconds of the Quadrant: With Other Useful TablesHarper & brothers, 1859 - 150 páginas |
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Página 135
... longitude ; the other consists in measuring the ship's course , and her progress every day from the time of her ... difference of longitude of two places is the arc of the equator included between their meridians . It is equal to the ...
... longitude ; the other consists in measuring the ship's course , and her progress every day from the time of her ... difference of longitude of two places is the arc of the equator included between their meridians . It is equal to the ...
Página 144
... difference of longitude may be found by the fol- lowing THEOREM . The cosine of the latitude of the parallel is to radius , as the distance run is to the difference of longitude . P Let P be the pole of the earth , C the center , AB a ...
... difference of longitude may be found by the fol- lowing THEOREM . The cosine of the latitude of the parallel is to radius , as the distance run is to the difference of longitude . P Let P be the pole of the earth , C the center , AB a ...
Página 145
... longitude at the equator being 60 nautical miles , a degree in latitude 40 ° may be found by the proportion R ... difference of longitude . EXAMPLES . 1. A ship sails from Sandy Hook , latitude 40 ° 28 ' N. , longi- tude 74 ° 1 ' W ...
... longitude at the equator being 60 nautical miles , a degree in latitude 40 ° may be found by the proportion R ... difference of longitude . EXAMPLES . 1. A ship sails from Sandy Hook , latitude 40 ° 28 ' N. , longi- tude 74 ° 1 ' W ...
Página 146
... latitude 40 ° sails due east through nine degrees of longitude . Required the distance run . Ans . 413.66 miles . of latitude 261 miles , 3. A ship having sailed on a parallel finds her difference of longitude 6 ° 15 ' . What is her ...
... latitude 40 ° sails due east through nine degrees of longitude . Required the distance run . Ans . 413.66 miles . of latitude 261 miles , 3. A ship having sailed on a parallel finds her difference of longitude 6 ° 15 ' . What is her ...
Página 147
... latitude sailing may be solved . In the triangle BCD , Cos . CBD : BC :: R : BD ; that is , cosine of middle latitude is to the departure , as radius is to the difference of longitude . Diff . Long . Lat B C Departure Diff . Lat ...
... latitude sailing may be solved . In the triangle BCD , Cos . CBD : BC :: R : BD ; that is , cosine of middle latitude is to the departure , as radius is to the difference of longitude . Diff . Long . Lat B C Departure Diff . Lat ...
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Términos y frases comunes
9 I I altitude angle of elevation arithm base chains circle Co-sine Co-tangent complement computed correction cosecant course and distance decimal diameter diff difference of latitude difference of longitude Dist divided equal equator fifth figure find the angles find the area find the Logarithm frustum given number given the angle height Hence horizontal plane hypothenuse inches latitude and departure length LO LO LO logarithmic sine measured meridian middle latitude miles minutes Multiply natural number nautical miles parallel parallel sailing perpendicular places plane sailing Prob Prop proportional quadrant radius Required the logarithmic right-angled spherical triangle right-angled triangle Sandy Hook secant ship sails side AC spherical triangle ABC SPHERICAL TRIGONOMETRY station subtract surface tabular number tang Tangent telescope theodolite Theorem vernier vertical Vulgar Fraction wyll yards zoids ΙΙ ΙΟ
Pasajes populares
Página 20 - The circumference of every circle is supposed to be divided into 360 equal parts, • called degrees, each degree into 60 minutes, and each minute into 60 seconds, etc.
Página 163 - In any spherical triangle, the sines of the sides are proportional to the sines of the opposite angles. In the case of right-angled spherical triangles, this proposition has already been demonstrated.
Página 69 - FIND the area of the sector having the same arc with the segment, by the last problem. Find also the area of the triangle, formed by the chord of the segment and the two radii of the sector.
Página 54 - C' (89) (90) (91) (92) (93) 112. In any plane triangle, the sum of any two sides is to their difference as the tangent of half the sum of the opposite angles is to the tangent of half their difference.
Página 69 - TO THE NUMBER OF DEGREES IN THE ARC ; So IS THE AREA OF THE CIRCLE, TO THE AREA OF THE SECTOR.
Página 73 - To find the solidity of a pyramid. RULE. Multiply the area of the base by one third of the altitude.
Página vi - The characteristic of the logarithm of ANY NUMBER GREATER THAN UNITY, is one less than the number of integral figures in the given number.
Página 184 - If a heavy sphere, whose diameter is 4 inches, be let fall into a conical glass, full of water, whose diameter is 5, and altitude 6 inches ; it is required to determine how much water will run over ? AHS.