Plane and Spherical Trigonometry and MensurationAmerican Book Company, 1875 - 251 páginas |
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Página 13
... remaining columns . When the third decimal digit changes from 9 to 0 , the second is increased by the 1 carried ; and the cor- responding mantissa , and all to the right , commence with a smaller figure , to indicate that the first two ...
... remaining columns . When the third decimal digit changes from 9 to 0 , the second is increased by the 1 carried ; and the cor- responding mantissa , and all to the right , commence with a smaller figure , to indicate that the first two ...
Página 15
... remaining figures , considered as a decimal , reject from the product as many figures on the right as are in the multiplier , carrying to the nearest unit , and add the result as so many hundred- thousandths to the mantissa before found ...
... remaining figures , considered as a decimal , reject from the product as many figures on the right as are in the multiplier , carrying to the nearest unit , and add the result as so many hundred- thousandths to the mantissa before found ...
Página 51
... remaining parts . h = 365 . 1. Given Р P = 33 ° 12 ' } Requir . B 90 ° - P = 90 ° 33 ° 12 ' ***** B ད B. h p . b . P II ъ = - 56 ° 48 ' . Either side adjacent to the right angle is equal to the sine of the opposite angle , multiplied by ...
... remaining parts . h = 365 . 1. Given Р P = 33 ° 12 ' } Requir . B 90 ° - P = 90 ° 33 ° 12 ' ***** B ད B. h p . b . P II ъ = - 56 ° 48 ' . Either side adjacent to the right angle is equal to the sine of the opposite angle , multiplied by ...
Página 52
... remaining parts . P. 1. Given { h = 112 . p = 97 . Required B. b . P H The sine of either acute angle is equal to the opposite side divided by the hypotenuse . ... sin P = p h Introducing radius , and multiplying by R , we have , RP ...
... remaining parts . P. 1. Given { h = 112 . p = 97 . Required B. b . P H The sine of either acute angle is equal to the opposite side divided by the hypotenuse . ... sin P = p h Introducing radius , and multiplying by R , we have , RP ...
Página 53
... remaining parts . 1. Given { b = 152.67 . P 50 ° 18 ' 32 ′′ . B. 7 } Requir . p . h . P B 90 ° - P = 90 ° – 50 ° 18 ′ 32 " 39 ° 41 ′ 28 ′′ . - B H Either side adjacent to the right angle is equal to RIGHT TRIANGLES . 53.
... remaining parts . 1. Given { b = 152.67 . P 50 ° 18 ' 32 ′′ . B. 7 } Requir . p . h . P B 90 ° - P = 90 ° – 50 ° 18 ′ 32 " 39 ° 41 ′ 28 ′′ . - B H Either side adjacent to the right angle is equal to RIGHT TRIANGLES . 53.
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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.