Plane and Spherical Trigonometry and MensurationAmerican Book Company, 1875 - 251 páginas |
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Página iv
... given to the develop- ment of Napier's principles and to the discussion of the species of the parts of both right and oblique triangles , Arts . 126 , 129 , 145 , 148 , 151 . Special attention is invited to Arts . 64 , 89 , 91 , 126 ...
... given to the develop- ment of Napier's principles and to the discussion of the species of the parts of both right and oblique triangles , Arts . 126 , 129 , 145 , 148 , 151 . Special attention is invited to Arts . 64 , 89 , 91 , 126 ...
Página 9
... given number . Thus , in the equation , b2 = n , b is the base of the sys- tem , n is the number whose logarithm is to be taken , and x is the logarithm of n to the base b , which may be written : x - log , n . b Any positive number ...
... given number . Thus , in the equation , b2 = n , b is the base of the sys- tem , n is the number whose logarithm is to be taken , and x is the logarithm of n to the base b , which may be written : x - log , n . b Any positive number ...
Página 10
... given in a table of logarithms , and divide the number successively by 10 , and for each division subtract 1 from the logarithm of the dividend , then we have , Log 8979 - 66 897.9 3.95323 . 2.95323 . Log .8979 1.95323 . 66 .08979 ...
... given in a table of logarithms , and divide the number successively by 10 , and for each division subtract 1 from the logarithm of the dividend , then we have , Log 8979 - 66 897.9 3.95323 . 2.95323 . Log .8979 1.95323 . 66 .08979 ...
Página 12
... given in the left - hand column , marked N. The next figure is given at the head and foot of one of the columns of mantissas . The mantissas , in the column under 0 , are 12 LOGARITHMS . Description of the table of logarithms.
... given in the left - hand column , marked N. The next figure is given at the head and foot of one of the columns of mantissas . The mantissas , in the column under 0 , are 12 LOGARITHMS . Description of the table of logarithms.
Página 13
... given number . 1. Find the logarithm of 3675 . The characteristic is 3. Opposite 367 , in the column headed N , and under the column headed 5 , we find 526 , to which prefix the two figures , 56 , in the column headed 0 , and we have ...
... given number . 1. Find the logarithm of 3675 . The characteristic is 3. Opposite 367 , in the column headed N , and under the column headed 5 , we find 526 , to which prefix the two figures , 56 , in the column headed 0 , and we have ...
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Términos y frases comunes
a. c. log adjacent angles adjacent side altitude angle is equal angle opposite applying logarithms arc increases arc is equal arc OT Article 98 circumscribed circle co-sine co-tangent co-versed-sine complement cos b cos cos² cosec decreases denote diagonal divided entire surface escribed circles Examples Find the angle find the area Find the logarithm fourth quadrant frustum functions given angle greater than 90 Hence hypotenuse included angle increases from 90 increases numerically inscribed log blog M.
M. Cosine M.
M. Sine mantissa minus Napier's principles negative number corresponding one-half the sum opposite angle perpendicular plane polygon positive Problem quadrant from H required the area right angle Right Triangles secant second quadrant side adjacent sin a sin slant height solution species spherical triangle supplement Tang tangent third quadrant triangle becomes Trigonometry versed-sine
Pasajes populares
Página 32 - If two triangles have two angles and the included side of the one, equal to two angles and the included side of the other, each to each, the two triangles will be equal.
Página 106 - I. The sine of the middle part is equal to the product of the tangents of the adjacent parts.
Página 122 - A'B'C', and applying the law of cosines, we have cos a' = cos b' cos c' + sin b' sin c' cos A'. Remembering the relations a' = 180° -A, b' = 180° - B, etc. (this expression becomes cos A = — cos B cos C + sin B sin C cos a.
Página 141 - A cos 6 = cos a cos c + sin a sin c cos B cos c = cos a cos 6 + sin a sin 6 cos C Law of Cosines for Angles cos A = — cos B...
Página 17 - To Divide One Number by Another, Subtract the logarithm of the divisor from the logarithm of the dividend, and obtain the antilogarithm of the difference.
Página 20 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Página 120 - The sines of the sides of a spherical triangle are proportional to the sines of their opposite angles. Let ABC be a spherical triangle.
Página viii - For a number greater than 1, the characteristic is positive and is one less than the number of digits before the decimal point.
Página 63 - C' (89) (90) (91) (92) (93) 112. In any plane triangle, the sum of any two sides is to their difference as the tangent of half the sum of the opposite angles is to the tangent of half their difference.
Página viii - In general, if the number is not an exact power of 10, its logarithm, in the common system, will consist of two parts — an entire part and a decimal part. The entire part is called the characteristic and the decimal part is called the mantissa.