Elements of Plane and Spherical Trigonometry: With Practical Applications |
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Page 18
... Cotang . I Infinite . 60 5017.17 13.536274 59 2 .764756 2934.85 .000000 .00 8 .940847 2082.31 .000000 .00 4 7.065786 1615.17 5 .162696 1319.68 .000000 .00 .000000 .00 6 .241877 1115.75 9.999999 .01 .241878 .764756 2934.83 .235244 58 ...
... Cotang . I Infinite . 60 5017.17 13.536274 59 2 .764756 2934.85 .000000 .00 8 .940847 2082.31 .000000 .00 4 7.065786 1615.17 5 .162696 1319.68 .000000 .00 .000000 .00 6 .241877 1115.75 9.999999 .01 .241878 .764756 2934.83 .235244 58 ...
Page 19
... Cotang . I 0 8.241855 119.63 9.999934 .04 8.241921 119.67 11.758079 60 1 .249033 117.68 .999932 .04 .249102 117.72 .750898 59 2 .256094 115.80 .999929 .04 .256165 115.84 .743835 58 3 .263042 113.98 .999927 .04 .263115 114.02 .736885 57 ...
... Cotang . I 0 8.241855 119.63 9.999934 .04 8.241921 119.67 11.758079 60 1 .249033 117.68 .999932 .04 .249102 117.72 .750898 59 2 .256094 115.80 .999929 .04 .256165 115.84 .743835 58 3 .263042 113.98 .999927 .04 .263115 114.02 .736885 57 ...
Page 20
... Cotang . 0 8.542819 60.04 9.999735 .07 8.543084 60.12 11.456916 60 1 .546422 59.55 .999731 .07 .546691 59.62 .453309 59 2 .549995 59.06 .999726 .07 .550268 59.14 .449732 58 3 .553539 58.58 .999722 .08 .553817 58.66 .446183 57 4 .557054 ...
... Cotang . 0 8.542819 60.04 9.999735 .07 8.543084 60.12 11.456916 60 1 .546422 59.55 .999731 .07 .546691 59.62 .453309 59 2 .549995 59.06 .999726 .07 .550268 59.14 .449732 58 3 .553539 58.58 .999722 .08 .553817 58.66 .446183 57 4 .557054 ...
Page 21
... Cotang . 9.999404 .11 8.719396 40.17 11.280604 60 .999398 .11 .721806 39.95 .278194 59 .999391 .11 .724204 39.74 .275796 58 .725972 39.41 .999384 .11 .726588 39.52 .273412 57 .728337 39.19 .999378 .11 .728959 39.30 .271041 56 5 .730688 ...
... Cotang . 9.999404 .11 8.719396 40.17 11.280604 60 .999398 .11 .721806 39.95 .278194 59 .999391 .11 .724204 39.74 .275796 58 .725972 39.41 .999384 .11 .726588 39.52 .273412 57 .728337 39.19 .999378 .11 .728959 39.30 .271041 56 5 .730688 ...
Page 22
... Cotang . 11.155356 60 1 .845387 29.92 .998932 .15 .846455 30.07 .153545 59 23 .847183 29.80 .998923 .15 .848260 29.95 .151740 58 .848971 29.67 .998914 .15 .850057 29.82 .149943 57 4 667 5 .850751 .852525 .854291 29.31 29.55 .998905 .15 ...
... Cotang . 11.155356 60 1 .845387 29.92 .998932 .15 .846455 30.07 .153545 59 23 .847183 29.80 .998923 .15 .848260 29.95 .151740 58 .848971 29.67 .998914 .15 .850057 29.82 .149943 57 4 667 5 .850751 .852525 .854291 29.31 29.55 .998905 .15 ...
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Common terms and phrases
A B C ABCD adjacent angles altitude angles ACD angles equal base bisect centre chord circle circumference cone convex surface cosec cosine Cotang diagonal diameter distance divided drawn equal angles equal Prop equiangular equilateral equivalent exterior angle feet four right angles frustum gles greater half the sum homologous homologous sides hypothenuse inches included angle inscribed less Let ABC line A B logarithm mean proportional multiplied parallelogram parallelopipedon perimeter perpendicular polyedron prism PROPOSITION pyramid quadrilateral radii radius ratio rectangle regular polygon right angles Prop right-angled triangle Scholium secant secant line segment side A B side BC similar slant height solidity solve the triangle sphere spherical triangle Tang tangent THEOREM triangle ABC trigonometric functions vertex
Popular passages
Page 17 - All the interior angles of any rectilineal figure, together with four right angles, are equal to twice as many right angles as the figure has sides.
Page 57 - If two triangles have two angles of the one equal to two angles of the other, each to each, and also one side of the one equal to the corresponding side of the other, the triangles are congruent.
Page 155 - The convex surface of the cylinder is equal to the circumference of its base multiplied by its altitude (Prop.
Page 28 - If any number of quantities are proportional, any antecedent is to its consequent as the sum of all the antecedents is to the sum of all the consequents. Let a : b = c : d = e :f Now ab = ab (1) and by Theorem I.
Page 118 - The radius of a sphere is a straight line, drawn from the centre to any point of the...
Page 98 - If a straight line is perpendicular to each of two straight lines at their point of intersection, it is perpendicular to the plane of those lines.
Page 144 - The convex surface of this prism is equal to the perimeter of its base multiplied by its altitude, AG (Prop.
Page 176 - Find the area of the sector having' the same arc with the segment, and also the area of the triangle formed by the chord of the segment and the radii of the sector. Then...
Page 14 - Straight lines which are parallel to the same line are parallel to each other. Let the straight lines AB, CD be each parallel to the line EF ; then are they parallel to each other.
Page 95 - STRAIGHT line is perpendicular to a plane, when it is perpendicular to every straight line which it meets in that plane.