A treatise on navigation, and nautical astronomy |
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Page 165
... star- board tack . It is evident that the track which a ship leaves on the water , or the wake , as the track is called , will lie directly opposite to the point towards which she is moving , whatever way her head may lie . If therefore ...
... star- board tack . It is evident that the track which a ship leaves on the water , or the wake , as the track is called , will lie directly opposite to the point towards which she is moving , whatever way her head may lie . If therefore ...
Page 175
... star- board tack E b N 5'656 miles . 2. Wanting in two boards to reach the mouth of a river , which bore NW + W 10 miles , I found my ship could lie within 5+ points of the wind ( then at N N W ) on either tack , but that on the ...
... star- board tack E b N 5'656 miles . 2. Wanting in two boards to reach the mouth of a river , which bore NW + W 10 miles , I found my ship could lie within 5+ points of the wind ( then at N N W ) on either tack , but that on the ...
Page 211
... stars , which shine by their own light , and whose relative situa- tions appear not to be subject to any such change . They are called fixed stars , and their distance is so great that the whole extent of the solar system is absolutely ...
... stars , which shine by their own light , and whose relative situa- tions appear not to be subject to any such change . They are called fixed stars , and their distance is so great that the whole extent of the solar system is absolutely ...
Page 212
... stars in the plane of the earth's orbit , the planets at the same time performing their apparent evolutions round him on the immeasurably distant concavity of the celestial sphere , and that sphere , with the sun , stars , and planets ...
... stars in the plane of the earth's orbit , the planets at the same time performing their apparent evolutions round him on the immeasurably distant concavity of the celestial sphere , and that sphere , with the sun , stars , and planets ...
Page 213
... star ; and a solar or an apparent day is the interval between two successive transits of the sun over any meridian . The sidereal day commences when the first point of Aries is on the meridian , and the solar or astronomical day when ...
... star ; and a solar or an apparent day is the interval between two successive transits of the sun over any meridian . The sidereal day commences when the first point of Aries is on the meridian , and the solar or astronomical day when ...
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Common terms and phrases
angled spherical triangle Answer apparent altitude Atlantic Ocean bisected Cape celestial object centre chronometer circle column compass computed correction Cosec Cosine Cotang course and distance declination diff lat diff long Difference of Latitude difference of longitude Dist equal equator EXAMPLES FOR EXERCISE Given A B greater Greenwich Hence horizontal parallax Indian Archipelago Indian Ocean Island Latitude and Departure latitude and longitude logarithm longitude Lunar Distance meridian distance miles moon moon's Nautical Almanac noon observed opposite Pacific Ocean parallax parallel parallel sailing parallelogram perpendicular plane sailing polar distance pole quadrant radius rectangle rhumb line right angled spherical right ascension Secant semidiameter sides squares of A C subtract Suvers Suversed Sines Table Tang tangent Theo THEOREM triangle A B C true altitude true distance Vers
Popular passages
Page 18 - LET it be granted that a straight line may be drawn from any one point to any other point.
Page 17 - When equals are taken from unequals, the remainders are unequal. 6. Things which are double of the same thing, or equal things, are equal to each other.
Page 86 - III.), is a circle. If the plane pass through the centre, then, as every point in the surface of the sphere is equidistant from its centre, the section is a plane figure, every point of whose periphery is equidistant from a certain point within it, and the figure is therefore a circle. But if the plane do not pass through...
Page 26 - Therefore all the interior angles of the figure, together with four right angles, are equal to twice as many right angles as the figure has sides.
Page 114 - TO THEIR DIFFERENCE ; So IS THE TANGENT OF HALF THE SUM OF THE OPPOSITE ANGLES', To THE TANGENT OF HALF THEIR DIFFERENCE.
Page 63 - If from a point without a circle two straight lines be drawn, one of which...
Page 147 - Mathematical o>jgraphy.) the arc of the equator, intercepted between the first meridian...
Page 64 - If from any point without a circle straight lines be drawn touching it, the angle contained by the tangents is double the angle contained by the straight line joining the points of contact and the diameter drawn through one of them.
Page 139 - Given the vertical angle, the difference of the two sides containing it, and the difference of the segments of the base made by a perpendicular from the vertex ; construct the triangle.
Page 86 - ... half a right angle, as the tangent of half the sum of the angles, at the base of the triangle to the tangent of half their difference.