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A B C A C B angled spherical triangle Answer apparent altitude Atlantic Ocean bisected Cape 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 Greenwich h m s Hence horizontal parallax Indian Archipelago Indian Ocean Island Latitude and Departure logarithm longitude Lunar Distance meridian distance miles moon moon's Nautical Almanac noon opposite Pacific Ocean parallax parallel parallelogram perpendicular plane sailing polar distance quadrant radius rectangle rhumb line right angled spherical right ascension Secant semidiameter sides square of A B subtract Suvers Suversed Sines Table Tang tangent Theo Theorem triangle ABC true altitude true distance Vers
Page 16 - LET it be granted that a straight line may be drawn from any one point to any other point.
Page 84 - 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 24 - 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 112 - TO THEIR DIFFERENCE ; So IS THE TANGENT OF HALF THE SUM OF THE OPPOSITE ANGLES', To THE TANGENT OF HALF THEIR DIFFERENCE.
Page 61 - If from a point without a circle two straight lines be drawn, one of which...
Page 145 - Mathematical o>jgraphy.) the arc of the equator, intercepted between the first meridian...
Page 62 - 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 137 - 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.