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 pressed in degrees and minutes . ex- 34. If the arc is less than 45 ° , 1ook for ...
... 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 pressed in degrees and minutes . ex- 34. If the arc is less than 45 ° , 1ook for ...
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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 45 ° , look for the degrees at for the minutes in the right If the angle is ...
... 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 45 ° , look for the degrees at for the minutes in the right If the angle is ...
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... minutes in the left - hand column of each page , increasing downwards , belong to the degrees at the top ; and those increasing upwards , in the right - hand column , belong to the degrees below . 1 M. Sine D. Cosine D. Tang . D. Cotang .
... minutes in the left - hand column of each page , increasing downwards , belong to the degrees at the top ; and those increasing upwards , in the right - hand column , belong to the degrees below . 1 M. Sine D. Cosine D. Tang . D. Cotang .
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... Tang . D. Cotang . 10 0123456 tao 0.000000 10.000000 0.000000 Infinite . 60 6.463726 5017.17 764756 2934.85 940847 2082.31 1615.17 7.065786 162696 1319.68 241877 1115.75 9.999999 .01 000000 .00 000000 .00 000000 .00 000000 .00 000000 00 ...
... Tang . D. Cotang . 10 0123456 tao 0.000000 10.000000 0.000000 Infinite . 60 6.463726 5017.17 764756 2934.85 940847 2082.31 1615.17 7.065786 162696 1319.68 241877 1115.75 9.999999 .01 000000 .00 000000 .00 000000 .00 000000 .00 000000 00 ...
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... Tang . D. Cotang . M. Sine D. Cosine D. Tang . D. 10 012345690 8-241855 119.63 9 : 999934 04 8.241921 I 249033 117.68 999932 .04 249102 117.72 256094 115-80 999929 .04 256165 115.84 263042 113.98 999927 .04 263115 114.02 269881 112.21 ...
... Tang . D. Cotang . M. Sine D. Cosine D. Tang . D. 10 012345690 8-241855 119.63 9 : 999934 04 8.241921 I 249033 117.68 999932 .04 249102 117.72 256094 115-80 999929 .04 256165 115.84 263042 113.98 999927 .04 263115 114.02 269881 112.21 ...
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Common terms and phrases
AB² AC² altitude angle ACB apothem axis base and altitude base multiplied BC² bisect centre chord circumference coincide cone consequently convex surface corresponding cosec cosine Cotang cylinder denote diameter distance divided draw drawn edges equal bases equal in volume equal to AC equal to half equally distant Formula frustum given angle given line greater hence homologous hypothenuse included angle intersection less Let ABC logarithm lower base mantissa mean proportional measured by half number of sides opposite parallelogram perimeter perpendicular plane MN polyedral angle polyedron prism PROPOSITION XI proved pyramid quadrant radii radius rectangle regular polygons right-angled triangle Scholium segment semi-circumference side BC similar sine slant height sphere spherical angle spherical excess spherical polygon spherical triangle straight line tangent THEOREM triangle ABC triangular prisms triedral angle upper base vertex vertices whence