A treatise on navigation, and nautical astronomy |
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Page iii
... hours of school attendance ; and this is particularly the case with respect to lunar distances . A convenient expedient for exercising young observers in the method of making this class of observations , is to make them observe the ...
... hours of school attendance ; and this is particularly the case with respect to lunar distances . A convenient expedient for exercising young observers in the method of making this class of observations , is to make them observe the ...
Page 158
... hour , but in common merchantmen at the end of every second hour . As the time of operating is half a minute , or the hundred and twentieth part of an hour , if the line were divided into 120ths of a nautical mile , whatever number of ...
... hour , but in common merchantmen at the end of every second hour . As the time of operating is half a minute , or the hundred and twentieth part of an hour , if the line were divided into 120ths of a nautical mile , whatever number of ...
Page 159
... hour that k is of a mile , s = the seconds run by the glass , and d the distance as determined by these erroneous instruments . the true distance , if the log line only were d m Then k : m :: d : k erroneous and s ; t :: a m k : td m ks ...
... hour that k is of a mile , s = the seconds run by the glass , and d the distance as determined by these erroneous instruments . the true distance , if the log line only were d m Then k : m :: d : k erroneous and s ; t :: a m k : td m ks ...
Page 176
... hour , makes on each tack 24 points leeway , in what time will she advance 30 miles directly to windward ? Answer , in 5 days 2 hours and 30 minutes . OF SAILING IN CURRENTS . D с Ir a ship at B , sailing in the direction B A , were in ...
... hour , makes on each tack 24 points leeway , in what time will she advance 30 miles directly to windward ? Answer , in 5 days 2 hours and 30 minutes . OF SAILING IN CURRENTS . D с Ir a ship at B , sailing in the direction B A , were in ...
Page 178
... hour by the log , in a current setting ENE 2.5 miles per hour , required her true course , and hourly rate of sailing ? Answer , course N 84 ° 8 ' E , and rate 9.358 per hour . 2. A ship has made by the reckoning NW 20 miles , but by ...
... hour by the log , in a current setting ENE 2.5 miles per hour , required her true course , and hourly rate of sailing ? Answer , course N 84 ° 8 ' E , and rate 9.358 per hour . 2. A ship has made by the reckoning NW 20 miles , but by ...
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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.