A Treatise on Plane and Spherical Trigonometry: And Its Applications to Astronomy and Geodesy with Numerous ExamplesD.C. Heath & Company, 1892 - 368 páginas |
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Página 73
... multiplication , where we have a - 1a = a0 = 1 . Thus , cos1 ( cos x ) = x , and sin ( sin x ) = x ; that is , cos - 1 is inverse to cos , and applied to it annuls it ; and so for other functions . The French method of writing inverse ...
... multiplication , where we have a - 1a = a0 = 1 . Thus , cos1 ( cos x ) = x , and sin ( sin x ) = x ; that is , cos - 1 is inverse to cos , and applied to it annuls it ; and so for other functions . The French method of writing inverse ...
Página 89
... multiplied by the exponent of the power . For let x = logam . .. m = a * . ... m2 = a р * . ... log。m2 = px = plogm ... multiplication and division are changed into those of addition and subtraction ; and the operations of involution ...
... multiplied by the exponent of the power . For let x = logam . .. m = a * . ... m2 = a р * . ... log。m2 = px = plogm ... multiplication and division are changed into those of addition and subtraction ; and the operations of involution ...
Página 93
... ( 1 ) Hence , to transform the logarithm of a number from 1 base a to base b , we multiply it by log.b 1 This constant multiplier is called the modulus of logab RULES FOR THE CHARACTERISTIC . 93 Comparison of Two Systems of Logarithms.
... ( 1 ) Hence , to transform the logarithm of a number from 1 base a to base b , we multiply it by log.b 1 This constant multiplier is called the modulus of logab RULES FOR THE CHARACTERISTIC . 93 Comparison of Two Systems of Logarithms.
Página 95
... Multiply each logarithm by 2 . 4. Find log , 8 , log , 1 , log , 2 , log , 1 , log ‰ 128 . - Ans . 3 , 0 , 1 , 0 , 7 . 3 66. Tables of Logarithms . The common logarithms of all integers from 1 to 100000 have been found and registered in ...
... Multiply each logarithm by 2 . 4. Find log , 8 , log , 1 , log , 2 , log , 1 , log ‰ 128 . - Ans . 3 , 0 , 1 , 0 , 7 . 3 66. Tables of Logarithms . The common logarithms of all integers from 1 to 100000 have been found and registered in ...
Página 97
... Multiply 2.1528 by 7 . - 4 subtracted from - 3 2.1528 7 13.0696 the 1 carried from the last multiplication of the decimal places being added to - 14 , and thus giving 13 as a result . ―― - NOTE 4. - When a logarithm with negative ...
... Multiply 2.1528 by 7 . - 4 subtracted from - 3 2.1528 7 13.0696 the 1 carried from the last multiplication of the decimal places being added to - 14 , and thus giving 13 as a result . ―― - NOTE 4. - When a logarithm with negative ...
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Otras ediciones - Ver todas
A Treatise on Plane and Spherical Trigonometry: And Its Applications to ... Edward Albert Bowser Sin vista previa disponible - 2013 |
Términos y frases comunes
algebraically angle AOP angle of elevation base calculate centre circle circular measure common logarithms cos b cos cos² cosec cotangent decimal places denote diff equal equations EXAMPLES expression feet find log find the angle find the height find the number formulæ Given log Hence horizon hypotenuse integer log cot log sin log sine mantissa Multiply negative number whose logarithm observed obtained opposite perpendicular plane polar triangle positive Prove the following quadrant R₁ r₂ radian radius right angles right triangle sec² secant sides Similarly sin a cos sin B sin sin x sin² sin³ sines and cosines sinx siny solution Solve spherical triangle subtends table of logarithms table of natural tan² tangent triangle ABC trigonometric functions vertical yards ОР
Pasajes populares
Página 148 - In any triangle the square of any side is equal to the sum of the squares of the other two sides minus twice the product of these two sides and the cosine of their included angle.
Página 147 - Law of Sines. — In any triangle the sides are proportional to the sines of the opposite angles.
Página 278 - AB'C, we have by (4) cos a' — cos b cos c' + sin b sin c' cos B'AC, or cos(тг— a) = cos b cos(тг— c) + sin b sin(тт — C)COS(тг —A). .-. cos a = cos b cos с + sin b sin с cos A.
Página 278 - ... cos a = cos b cos с + sin b sin с cos A ; (2) cos b = cos a cos с + sin a sin с cos в ; ^ A. (3) cos с = cos a cos b + sin a sin b cos C.
Página 278 - 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 6 - Radian is the angle subtended, at the centre of a circle, by an arc equal in length to the radius...
Página 17 - If the cosine of A be subtracted from unity, the remainder is called the versed sine of A. If the sine of A be...
Página 89 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Página 149 - In every plane triangle, the sum of two sides is to their difference as the tangent of half the sum of the angles opposite those sides is to the tangent of half their difference.