Elements of Geometry and Trigonometry from the Works of A.M. Legendre: Adapted to the Course of Mathematical Instruction in the United States |
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Page 23
... , or angle ( Arts . 26 and 28 ) : hence , the columns designated sine and tang at the top of the page , are designated cosine and cotang at the bottom . USE OF THE TABLE . To find the logarithmic functions PLANE 28 TRIGONOMETRY .
... , or angle ( Arts . 26 and 28 ) : hence , the columns designated sine and tang at the top of the page , are designated cosine and cotang at the bottom . USE OF THE TABLE . To find the logarithmic functions PLANE 28 TRIGONOMETRY .
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... Cotang . Infinite . 60 1 6.463726 5017.17 000000 6.463726 5017 17 13.536274 59 2 764756 2934.85 000000 764756 2934.83 235244 58 3 940847 2082.31 000000 940847 2082.81 059153 57 4 7.065786 1615.17 000000 7.065786 1615 17 12.934214 56 ...
... Cotang . Infinite . 60 1 6.463726 5017.17 000000 6.463726 5017 17 13.536274 59 2 764756 2934.85 000000 764756 2934.83 235244 58 3 940847 2082.31 000000 940847 2082.81 059153 57 4 7.065786 1615.17 000000 7.065786 1615 17 12.934214 56 ...
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... Cotang . 11.758079 60 750898 59 743835 58 736885 57 112.25 730044 56 110.54 723309 55 283323 108.87 289856 107.26 296292 105.70 802634 104.18 308884 102.70 716677 54 710144 53 703708 52 697366 51 691116 50 8.315046 101.26 11.684954 49 ...
... Cotang . 11.758079 60 750898 59 743835 58 736885 57 112.25 730044 56 110.54 723309 55 283323 108.87 289856 107.26 296292 105.70 802634 104.18 308884 102.70 716677 54 710144 53 703708 52 697366 51 691116 50 8.315046 101.26 11.684954 49 ...
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... Cotang . 11.456916 60 453309 59 449732 58 446183 57 442664 56 439172 55 435709 54 432273 53 428863 52 425480 51 422123 50 9.999685 .08 999680 ⚫08 8.581208 55.10 11.418792 49 584514 54.68 415486 48 13 587469 54.19 999675 ⚫08 587795 ...
... Cotang . 11.456916 60 453309 59 449732 58 446183 57 442664 56 439172 55 435709 54 432273 53 428863 52 425480 51 422123 50 9.999685 .08 999680 ⚫08 8.581208 55.10 11.418792 49 584514 54.68 415486 48 13 587469 54.19 999675 ⚫08 587795 ...
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... Cotang . 11.280604 60 278194 59 724204 39.74 275796 58 8 737667 38.36 999384 • 11 999378 • 11 999371 ∙ 11 999364 • 12 999357 • 12 999350 • 12 726588 39.52 273412 57 728959 731317 733663 38.89 735996 38.68 39.30 271041 56 39.09 268683 ...
... Cotang . 11.280604 60 278194 59 724204 39.74 275796 58 8 737667 38.36 999384 • 11 999378 • 11 999371 ∙ 11 999364 • 12 999357 • 12 999350 • 12 726588 39.52 273412 57 728959 731317 733663 38.89 735996 38.68 39.30 271041 56 39.09 268683 ...
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Common terms and phrases
AB² ABCD AC² adjacent angles altitude angles is equal apothem base and altitude bisects centre chord circle circumference circumscribed cone consequently convex surface corresponding Cosine Cotang cylinder denote diagonals diameter distance divided draw drawn edges equally distant equilateral feet find the area formula frustum given angle given line given point greater hence homologous hypothenuse included angle interior angles intersection less Let ABC logarithm lower base mantissa mean proportional measured by half number of sides parallel parallelogram parallelopipedon perimeter perpendicular plane angles plane MN polyedral angle polyedron prism PROPOSITION proved pyramid quadrant radii radius rectangle regular polygon right angles right-angled triangle Scholium secant segment side BC similar sine slant height solution sphere spherical angle spherical polygon spherical triangle square Tang tangent THEOREM triangle ABC triangular prisms triedral angle upper base vertex vertices whence