A treatise on navigation, and nautical astronomy |
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... PROBLEMS ; WITH AN EXTENSIVE SERIES OF EXAMPLES FOR EXERCISE , AND ALL THE TABLES REQUISITE IN NAUTICAL COMPUTATIONS . BY EDWARD RIDDLE , MASTER OF THE MATHEMATICAL SCHOOL , ROYAL NAVAL ASYLUM , GREENWICH , LONDON : PRINTED FOR BALDWIN ...
... PROBLEMS ; WITH AN EXTENSIVE SERIES OF EXAMPLES FOR EXERCISE , AND ALL THE TABLES REQUISITE IN NAUTICAL COMPUTATIONS . BY EDWARD RIDDLE , MASTER OF THE MATHEMATICAL SCHOOL , ROYAL NAVAL ASYLUM , GREENWICH , LONDON : PRINTED FOR BALDWIN ...
Page iii
... problems in Plane , Parallel , Middle Latitude , and Mercator's Sailing , in keeping a Sea Journal , and the construction of Charts . An investigation is given of the principles of the Quadrant , and other reflecting instruments for ...
... problems in Plane , Parallel , Middle Latitude , and Mercator's Sailing , in keeping a Sea Journal , and the construction of Charts . An investigation is given of the principles of the Quadrant , and other reflecting instruments for ...
Page iv
... Problems will afford sufficient variety to guide the student in applying his knowledge of Spherics in the solution of any useful problem that can arise in actual practice . Very great care has been bestowed on the Tables , and it is ...
... Problems will afford sufficient variety to guide the student in applying his knowledge of Spherics in the solution of any useful problem that can arise in actual practice . Very great care has been bestowed on the Tables , and it is ...
Page vi
... Problems , " by Mr. BLAND , that he is indebted for the Examples for Exercise in Geometrical Investigation , and the solutions of these problems may be seen in Mr. BLAND'S volume . In concluding , the author has only to add , that he ...
... Problems , " by Mr. BLAND , that he is indebted for the Examples for Exercise in Geometrical Investigation , and the solutions of these problems may be seen in Mr. BLAND'S volume . In concluding , the author has only to add , that he ...
Page vii
... Problems .... Elementary Principles of Plane Trigonometry Elementary Principles of Spherical Trigonometry Construction and Use of the Mariner's Scale .... Practical Application of the Principles of Plane Trigonometry On Heights and ...
... Problems .... Elementary Principles of Plane Trigonometry Elementary Principles of Spherical Trigonometry Construction and Use of the Mariner's Scale .... Practical Application of the Principles of Plane Trigonometry On Heights and ...
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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.