Elements of Geometry and Trigonometry: From the Works of A. M. Legendre |
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Page 23
... 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 ...
... 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 ...
Page 24
... 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 ...
... 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 ...
Page 17
... The 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 . M. Sine D. Cosine D. Tang . D. Cotang .
... The 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 . M. Sine D. Cosine D. Tang . D. Cotang .
Page 18
... Tang . D. Cotang . 01234567890 0.000000 10.000000 0.000000 Infinite . 6.463726 5017.17 764756 2934.85 940847 2082-31 ... Tang . M. ( 89 DEGREES . ) M. Sine D. Cosine D. Tang . D. Cutang . 18 ( 0 DEGREES . ) A TABLE OF LOGARITHMIC 13 15 16 17.
... Tang . D. Cotang . 01234567890 0.000000 10.000000 0.000000 Infinite . 6.463726 5017.17 764756 2934.85 940847 2082-31 ... Tang . M. ( 89 DEGREES . ) M. Sine D. Cosine D. Tang . D. Cutang . 18 ( 0 DEGREES . ) A TABLE OF LOGARITHMIC 13 15 16 17.
Page 19
... Tang . D. Cutang . 01234567 90 8.241855 119.63 9.999934 04 8.241921 119.67 11 758079 60 249033 117.68 999932 .04 ... Tang M. Sine D. Cosine D. Tang . D. Cotang . ( 88 DEGREES . ) ( 84 DEGREES . ) SINES AND TANGENTS . ( 1 DEGREE . ) 19.
... Tang . D. Cutang . 01234567 90 8.241855 119.63 9.999934 04 8.241921 119.67 11 758079 60 249033 117.68 999932 .04 ... Tang M. Sine D. Cosine D. Tang . D. Cotang . ( 88 DEGREES . ) ( 84 DEGREES . ) SINES AND TANGENTS . ( 1 DEGREE . ) 19.
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Common terms and phrases
AB² ABCD altitude apothem Applying logarithms centre chord circle circumference cone consequently convex surface cosec Cosine Cotang cylinder demonstrated in Book denote diameter distance divided draw edges Equation feet find the area Find the logarithmic following RULE frustum given angle greater hence homologous hypothenuse included angle inscribed intersection less Let ABC linear units log cot log sin lower base lune mantissa multiplied number of sides opposite parallel parallelogram parallelopipedon perpendicular plane MN polar triangle polyedral angle polyedron principle demonstrated prism proportional PROPOSITION proved pyramid quadrant radii radius rectangle regular polygon right angles right-angled triangle Scholium segment similar six right slant height solution sphere spherical angle spherical excess spherical polygon spherical triangle square straight line subtracting Tang tangent THEOREM triangle ABC triangular prism upper base vertex volume whence write the following