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
... that arc , 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 .
... that arc , 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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... Tang . M. ( 89 DEGREES . ) 8.468172 71.35 11.531828 19 ( 88 DEGREES . ) M. Sine . D. Cosine . D. 0 0.000000 10.000000 Tang . 0.000000 D. Cotang . Infinite . 60 1 6.463726 5017.17 000000 6.463726 5017 17 13.536274 59 2 764756 2934.85 ...
... Tang . M. ( 89 DEGREES . ) 8.468172 71.35 11.531828 19 ( 88 DEGREES . ) M. Sine . D. Cosine . D. 0 0.000000 10.000000 Tang . 0.000000 D. Cotang . Infinite . 60 1 6.463726 5017.17 000000 6.463726 5017 17 13.536274 59 2 764756 2934.85 ...
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... Tang . D. 8.241921 119.67 249102 117.72 256165 115.84 263115 114.02 269956 276691 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 ...
... Tang . D. 8.241921 119.67 249102 117.72 256165 115.84 263115 114.02 269956 276691 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 ...
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... Tang . D. 8.543084 60.12 546691 59.62 550268 59.14 553817 58.66 557336 58.19 560828 57.73 564291 57.27 567727 56.82 571137 56.38 574520 55.95 577877 55.52 Cotang . 11.456916 60 453309 59 449732 58 446183 57 442664 56 439172 55 435709 54 ...
... Tang . D. 8.543084 60.12 546691 59.62 550268 59.14 553817 58.66 557336 58.19 560828 57.73 564291 57.27 567727 56.82 571137 56.38 574520 55.95 577877 55.52 Cotang . 11.456916 60 453309 59 449732 58 446183 57 442664 56 439172 55 435709 54 ...
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... Tang . 8.719396 721806 D. 40.17 39.95 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 ...
... Tang . 8.719396 721806 D. 40.17 39.95 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 ...
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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