Plane and Spherical Trigonometry and MensurationAmerican Book Company, 1875 - 251 Seiten |
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Seite 20
... log 678.5 + log 27.56+ a . c . log 37.5 — 10 . log 678.5 = 2.83155 log 27.561.44028 a . c . log 37.5-8.42597 log x = 2.69780 .. x 498.656 . 21. Examples . 1. Given 125.5 .0756 x .0034532 , 20 LOGARITHMS . Arithmetical complement.
... log 678.5 + log 27.56+ a . c . log 37.5 — 10 . log 678.5 = 2.83155 log 27.561.44028 a . c . log 37.5-8.42597 log x = 2.69780 .. x 498.656 . 21. Examples . 1. Given 125.5 .0756 x .0034532 , 20 LOGARITHMS . Arithmetical complement.
Seite 54
... log sin 1 ' + log 8.9 + a.c . log 60-10 . 68. Case IV . Given the two sides adjacent to the right angle , required the remaining parts . B h P. 1. Given Sp 29.37 . b = 37.29 . S } Requir . B. h . P H b The tangent of either acute angle ...
... log sin 1 ' + log 8.9 + a.c . log 60-10 . 68. Case IV . Given the two sides adjacent to the right angle , required the remaining parts . B h P. 1. Given Sp 29.37 . b = 37.29 . S } Requir . B. h . P H b The tangent of either acute angle ...
Seite 57
... log sin B ( 45 ° 28 ′ ) 9.85299 = a . c . log sin A ( 35 ° 45 ′ ) = 0.23340 log b - 3.98866 . ' . b 9742.25 . In like manner we have the proportion , : sin A sin C :: ac , a sin C - • sin A .. log clog a log sin C + a . OBLIQUE TRIANGLES .
... log sin B ( 45 ° 28 ′ ) 9.85299 = a . c . log sin A ( 35 ° 45 ′ ) = 0.23340 log b - 3.98866 . ' . b 9742.25 . In like manner we have the proportion , : sin A sin C :: ac , a sin C - • sin A .. log clog a log sin C + a . OBLIQUE TRIANGLES .
Seite 58
Aaron Schuyler .. log clog a log sin C + a . c . log sin A - 10 . log a ( 7985 ) 3.90227 log sin C ( 98 ° 47 ' ) 9.99488 a . c . log sin A ( 35 ° 45 ′ ) = 0.23340 log c 4.13055 13506.88 . In finding log sin 98 ° 47 ' , take the ...
Aaron Schuyler .. log clog a log sin C + a . c . log sin A - 10 . log a ( 7985 ) 3.90227 log sin C ( 98 ° 47 ' ) 9.99488 a . c . log sin A ( 35 ° 45 ′ ) = 0.23340 log c 4.13055 13506.88 . In finding log sin 98 ° 47 ' , take the ...
Seite 61
... log sin Blog blog sin A + a . c . log a 10 . - If there is but one solution , take from the table the angle B corresponding to log sin B ; if there are two solutions , take B and its supplement B ' , for both cor- respond to log sin B ...
... log sin Blog blog sin A + a . c . log a 10 . - If there is but one solution , take from the table the angle B corresponding to log sin B ; if there are two solutions , take B and its supplement B ' , for both cor- respond to log sin B ...
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Häufige Begriffe und Wortgruppen
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
Beliebte Passagen
Seite 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.
Seite 106 - I. The sine of the middle part is equal to the product of the tangents of the adjacent parts.
Seite 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.
Seite 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...
Seite 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.
Seite 20 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Seite 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.
Seite viii - For a number greater than 1, the characteristic is positive and is one less than the number of digits before the decimal point.
Seite 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.
Seite 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.