A treatise on navigation, and nautical astronomy |
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Page 73
... Co - tang . Secant . Co - sec . 0.000000 10.000000 10.000000 Infinite . Points . 0.000000 Infinite . 8.690796 9.999477 8.691319 11.308681 10.000523 11.309204 8.991302 9.997904 8.993398 11.006602 10.002096 11.008698 9.166520 9.995274 ...
... Co - tang . Secant . Co - sec . 0.000000 10.000000 10.000000 Infinite . Points . 0.000000 Infinite . 8.690796 9.999477 8.691319 11.308681 10.000523 11.309204 8.991302 9.997904 8.993398 11.006602 10.002096 11.008698 9.166520 9.995274 ...
Page 89
... Cotang . | Secant | D. Cosine | 0.000000 Infinite . | 0.000000 | Infinite . 10.0000001 10.0000001 60 6.463726 13.536274 6.463726 13.536274 000000 000000 59 764756 501717 501717 00 235244 764756 235244 000000 000000 58 293485 293485 00 ...
... Cotang . | Secant | D. Cosine | 0.000000 Infinite . | 0.000000 | Infinite . 10.0000001 10.0000001 60 6.463726 13.536274 6.463726 13.536274 000000 000000 59 764756 501717 501717 00 235244 764756 235244 000000 000000 58 293485 293485 00 ...
Page 90
... Cotang . Secant D. Cosine 8.241855 11.758145 8.241921 ) 11963 11967 11.7580791 10.000066 9.999934 60 04 249033 750967 249102 750898 000068 11768 11772 999932 59 04 256094 743906 256165 743835 000071 999929 58 11580 11584 04 263042 ...
... Cotang . Secant D. Cosine 8.241855 11.758145 8.241921 ) 11963 11967 11.7580791 10.000066 9.999934 60 04 249033 750967 249102 750898 000068 11768 11772 999932 59 04 256094 743906 256165 743835 000071 999929 58 11580 11584 04 263042 ...
Page 91
... Cotang . 11.457181 ] 8.543084 ] 453578 546691 450005 550268 446461 553817 Secant . D. Cosine . 6012 5962 11.456916 10.000265 ) 9.9997351 60 453309 000269 07 999731 59 07 449732 000274 999726 58 5914 07 446183 000278 999722 57 5858 5866 ...
... Cotang . 11.457181 ] 8.543084 ] 453578 546691 450005 550268 446461 553817 Secant . D. Cosine . 6012 5962 11.456916 10.000265 ) 9.9997351 60 453309 000269 07 999731 59 07 449732 000274 999726 58 5914 07 446183 000278 999722 57 5858 5866 ...
Page 92
... Cotang . | Secant . D. Cosine . 01 8.718800 ] 11.281200 8.719396 ] 11.280604 ] 10.000596 ) 9.9994041 60 4006 4017 11 1 721204 278796 721806 278194 000602 999398 59 3984 3995 11 723595 276405 724204 275796 000609 999391 58 3962 3974 11 ...
... Cotang . | Secant . D. Cosine . 01 8.718800 ] 11.281200 8.719396 ] 11.280604 ] 10.000596 ) 9.9994041 60 4006 4017 11 1 721204 278796 721806 278194 000602 999398 59 3984 3995 11 723595 276405 724204 275796 000609 999391 58 3962 3974 11 ...
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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.