Elements of Geometry and Trigonometry: From the Works of A.M. Legendre |
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Page 23
... 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 degrees at the top of the page , and for the . minutes ...
... 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 degrees at the top of the page , and for the . minutes ...
Page 24
... 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 greater than the ...
... 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 greater than the ...
Page
... * 30c 0672 0719 0765 1137 1183 1229 46 1601 1647 1693 46 2064 2110 2157 46 2527 2573 2619 46 2989 3035 3082 46 41 46 N. I 2 3 4 9 D. 26 M. Sine D. Cosine D. Tang . D. Cotang . A TABLE OF LOGARITHMS FROM 1 TO 10,000 . 15.
... * 30c 0672 0719 0765 1137 1183 1229 46 1601 1647 1693 46 2064 2110 2157 46 2527 2573 2619 46 2989 3035 3082 46 41 46 N. I 2 3 4 9 D. 26 M. Sine D. Cosine D. Tang . D. Cotang . A TABLE OF LOGARITHMS FROM 1 TO 10,000 . 15.
Page
... 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 . M. Sine D. Cosine D. Tang . D. Cotang .
... 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 . M. Sine D. Cosine D. Tang . D. Cotang .
Page
... Cotang . 0 0.000000 10.000000 0.000000 Infinite . 60 I 6.463726 5017.17 10 1234567∞ a g 764756 940847 2934.85 2082.31 7.065786 1615.17 162696 1319.68 241877 1115.75 000000 000000 ⚫00 000000 .00 000000 .00 000000 ⚫00 .00 940847 ...
... Cotang . 0 0.000000 10.000000 0.000000 Infinite . 60 I 6.463726 5017.17 10 1234567∞ a g 764756 940847 2934.85 2082.31 7.065786 1615.17 162696 1319.68 241877 1115.75 000000 000000 ⚫00 000000 .00 000000 .00 000000 ⚫00 .00 940847 ...
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Common terms and phrases
AB² ABCD adjacent angles altitude angle ACB apothem Applying logarithms base and altitude centre chord circle circumference circumscribed cone consequently convex surface cosec Cosine Cosine D Cotang cylinder demonstrated in Book denote diameter distance divided draw edges Equation feet find the area following RULE Formula frustum given angle greater hence homologous hypothenuse included angle inscribed intersection less Let ABC log cot log sin lower base mantissa measured by half number of sides opposite parallel parallelogram parallelopipedon perimeter perpendicular plane MN polyedral angle principle demonstrated prism PROPOSITION proved pyramid quadrant radii radius rectangle regular polygon right angles right-angled triangle Scholium segment similar slant height solution sphere spherical polygon spherical triangle square straight line Tang tangent THEOREM triangle ABC triangular prism triedral angle upper base vertex volume whence write the following