An introduction to the theory ... of plane and spherical trigonometry ... including the theory of navigation1839 |
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Page xxiv
... Greenwich 4. Given the time at Greenwich , to find the correspond- ing time under any known meridian 5. To reduce the declination of the sun , as given in the Nautical Almanac , to any other meridian , and to any given time of the day ...
... Greenwich 4. Given the time at Greenwich , to find the correspond- ing time under any known meridian 5. To reduce the declination of the sun , as given in the Nautical Almanac , to any other meridian , and to any given time of the day ...
Page 267
... Greenwich . * RULE . Turn the longitude of the place under the known meridian into time ( 554 ) : add this time to the time at the given place if the longitude be west , or subtract it if east , and the sum or remainder will be the time ...
... Greenwich . * RULE . Turn the longitude of the place under the known meridian into time ( 554 ) : add this time to the time at the given place if the longitude be west , or subtract it if east , and the sum or remainder will be the time ...
Page 268
... Greenwich - 13 56 or 56 minutes past 1 in the morning on the 13th of August . " EXAMPLE II . * Find the time at Greenwich , on the 1st of May , when it is 22h 40m at a place in longitude 160 ° W. Time at the given place Long . 160 ...
... Greenwich - 13 56 or 56 minutes past 1 in the morning on the 13th of August . " EXAMPLE II . * Find the time at Greenwich , on the 1st of May , when it is 22h 40m at a place in longitude 160 ° W. Time at the given place Long . 160 ...
Page 269
... Greenwich time answers to noon at a place in longitude 60 ° West ? Answer . 4 hours . 3. Find the time at Greenwich when it is 19h 42m at a place in 28 ° 30 ′ E. longitude . Answer . 17h 48m . PROBLEM IV . ( 557 ) Given the time at ...
... Greenwich time answers to noon at a place in longitude 60 ° West ? Answer . 4 hours . 3. Find the time at Greenwich when it is 19h 42m at a place in 28 ° 30 ′ E. longitude . Answer . 17h 48m . PROBLEM IV . ( 557 ) Given the time at ...
Page 270
... Greenwich Longitude 97 ° 45 ′ in time 13h 56m 6 31 W. Time in long . 97 ° 45 ′ W. = 7 25 on Aug. 12th . EXAMPLE IV . When it is 9h 20m at Greenwich , on the 2d of May , what hour is it at a place in longitude 160 ° West ? Time at Greenwich ...
... Greenwich Longitude 97 ° 45 ′ in time 13h 56m 6 31 W. Time in long . 97 ° 45 ′ W. = 7 25 on Aug. 12th . EXAMPLE IV . When it is 9h 20m at Greenwich , on the 2d of May , what hour is it at a place in longitude 160 ° West ? Time at Greenwich ...
Common terms and phrases
acute altitude angle CAB arc BF base centre complement construction cosec cosine cotangent degrees diff difference of latitude distance division draw ecliptic equator Euclid extent will reach find the angle formulæ given angle given side greater Greenwich half the sum Hence horizon hypoth less line of numbers line of sines logarithm logarithmic sine mean arc measure meridian moon's natural number Nautical Almanac observed obtuse opposite angles parallax parallel perpendicular plane sailing Plate pole primitive PROPOSITION quadrant rad2 radius rhumb line right angles right ascension right-angled plane triangle right-angled spherical triangle right-angled triangle RULE scale of chords scale of equal SCHOLIUM secant semi-tangents side AC side opposite sin² sphere spherical angle spherical triangle ABC spherical trigonometry straight line subtract supplement Tang tangent of half three angles three sides Trigonometry versed sine
Popular passages
Page 109 - 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.
Page 141 - Consequently, a line drawn from the vertex of an isosceles triangle to the middle of the base, bisects the vertical angle, and is perpendicular to the base.
Page 33 - An angle at the circumference of a circle is measured by half the arc that subtends it. Let BAC be an angle at the circumference : it has for its measure half the arc "BC, which subtends it.
Page 29 - The sine, or right sine, of an arc, is the line drawn from one extremity of the arc, perpendicular to the diameter passing through the other extremity. Thus, BF is the sine of the arc AB, or of the arc BDE.
Page 258 - The HORIZON is a great circle which separates the visible half of the heavens from the invisible ; the earth being considered as a point in the centre of the sphere of the fixed stars.
Page 116 - C = sin. A sin. B sin. C; dividing both sides of this equation by cos. A cos. B cos. C, we have sin. A sin. B sin. C _ sin.
Page 362 - Now it is plain, that if any great circle of the sphere (as 1, 2, 3.) be divided into any number of equal parts, and through the points of division...
Page 23 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees...
Page 330 - Method of correcting the apparent distance of the Moon from the Sun, or a Star, for the effects of Parallax and Refraction.