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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... tang , at the top of the page , are designated cosine and cotang at the bottom . USE OF THE TABLE . To find the logarithmic functions of an arc which is ex pressed in degrees and minutes . 34. If the arc is less than 45 ° , 100k for the ...
... tang , at the top of the page , are designated cosine and cotang at the bottom . USE OF THE TABLE . To find the logarithmic functions of an arc which is ex pressed in degrees and minutes . 34. If the arc is less than 45 ° , 100k for the ...
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... tang , or cotang , as the case may be ; the number there found is the logarithm required . log sin 19 ° 55 ' log tan 19 ° 55 ' Thus , • • • 9.532312 · • • 9.559097 If the angle is greater than 45 ° , look for the degrees at the bottom ...
... tang , or cotang , as the case may be ; the number there found is the logarithm required . log sin 19 ° 55 ' log tan 19 ° 55 ' Thus , • • • 9.532312 · • • 9.559097 If the angle is greater than 45 ° , look for the degrees at the bottom ...
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... - hand column of each page , increasing downwards , belong to the degrees at the top ; and those increasing upwards , in the right - hand colunin , belong to the degrees below . M. Sine D. Cosine D. Tang . D. Cotang .
... - hand column of each page , increasing downwards , belong to the degrees at the top ; and those increasing upwards , in the right - hand colunin , belong to the degrees below . M. Sine D. Cosine D. Tang . D. Cotang .
Page 2
... Tang . D. Cotang . M. Sine D. Cosine D. 10 01234567 90 8.542819 60.04 9.999735 546422 59.55 999731 ⚫07 21 549995 59.06 999726 • 07 553539 58.58 557054 560540 999722 .08 58.11 999717 .08 60 Cotang . 1.456916 453309 59 449732 58 446183 ...
... Tang . D. Cotang . M. Sine D. Cosine D. 10 01234567 90 8.542819 60.04 9.999735 546422 59.55 999731 ⚫07 21 549995 59.06 999726 • 07 553539 58.58 557054 560540 999722 .08 58.11 999717 .08 60 Cotang . 1.456916 453309 59 449732 58 446183 ...
Page 3
... Tang . D. Cotang . 10 0123456 g 8.718800 721204 39.84 40.06 9.999404 .II 8.719396 40.17 11.280604 999398 .II 721806 39.95 723595 39.62 999391 II 724204 39.74 278194 59 275796 58 725972 39.41 999384 • II 726588 39.52 273412 57 728337 ...
... Tang . D. Cotang . 10 0123456 g 8.718800 721204 39.84 40.06 9.999404 .II 8.719396 40.17 11.280604 999398 .II 721806 39.95 723595 39.62 999391 II 724204 39.74 278194 59 275796 58 725972 39.41 999384 • II 726588 39.52 273412 57 728337 ...
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Common terms and phrases
AB² AC² adjacent angles altitude angle ACB apothem Applying logarithms base and altitude bisect centre chord circle circumference circumscribed coincide cone consequently convex surface corresponding cosec Cosine Cotang cylinder denote diagonals diameter distance divided draw drawn edges equally distant feet find the area Formula frustum given angle given straight line greater hence homologous hypothenuse included angle interior angles intersection less Let ABC log sin lower base mantissa mean proportional measured by half number of sides opposite parallel parallelogram parallelopipedon perimeter perpendicular plane MN polyedral angle polyedron prism PROPOSITION proved pyramid quadrant radii radius rectangle regular polygons right angles right-angled triangle Scholium secant segment semi-circumference side BC similar sine six right slant height sphere spherical polygon spherical triangle square Tang tangent THEOREM triangle ABC triangular prisms triedral angle upper base vertex vertices whence