Plane and Spherical Trigonometry and MensurationAmerican Book Company, 1875 - 251 páginas |
Dentro del libro
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Página 30
... increases from 0 ° to 90 ° , the sine . increases from 0 to +1 . As the arc increases from 90 ° to 180 ° , the sine decreases from +1 to 0. As the arc increases from 180 ° to 270 ° , the sine passes through 0 , changes its sign from to , ...
... increases from 0 ° to 90 ° , the sine . increases from 0 to +1 . As the arc increases from 90 ° to 180 ° , the sine decreases from +1 to 0. As the arc increases from 180 ° to 270 ° , the sine passes through 0 , changes its sign from to , ...
Página 31
... 90 ° , the co - sine decreases from +1 to + 0. As the arc increases from 90 ° to 180 ° , the co - sine passes through 0 , changes its sign from to , and increases numerically , but decreases algebraically from 0 to - 1. As the arc ...
... 90 ° , the co - sine decreases from +1 to + 0. As the arc increases from 90 ° to 180 ° , the co - sine passes through 0 , changes its sign from to , and increases numerically , but decreases algebraically from 0 to - 1. As the arc ...
Página 32
... increases from 0 ° to 90 ° , the versed - sine increases from 0 to 1. As the arc increases from 90 ° to 180 ° , the versed - sine in- creases from +1 to +2 . As the arc increases from 180 ° to 270 ° , the versed - sine decreases from 2 ...
... increases from 0 ° to 90 ° , the versed - sine increases from 0 to 1. As the arc increases from 90 ° to 180 ° , the versed - sine in- creases from +1 to +2 . As the arc increases from 180 ° to 270 ° , the versed - sine decreases from 2 ...
Página 33
... 90 ° , the co - versed - sine decreases from 1 to +0 . As the arc increases from 90 ° to 180 ° , the co- versed - sine increases from 0 to +1 . As the arc in- creases from 180 ° to 270 ° , the co - versed - sine increases from +1 to +2 ...
... 90 ° , the co - versed - sine decreases from 1 to +0 . As the arc increases from 90 ° to 180 ° , the co- versed - sine increases from 0 to +1 . As the arc in- creases from 180 ° to 270 ° , the co - versed - sine increases from +1 to +2 ...
Página 35
... increases from 0 ° to 90 ° , the tangent increases from 0 to + ∞ . As the arc increases from 90 ° to 180 ° , the tangent passes through , changes its sign from to - , and de- creases numerically , but increases algebraically from -0 ...
... increases from 0 ° to 90 ° , the tangent increases from 0 to + ∞ . As the arc increases from 90 ° to 180 ° , the tangent passes through , changes its sign from to - , and de- creases numerically , but increases algebraically from -0 ...
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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.