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 87
... logarithms ; and thus it is neces- sary to explain the nature and use of logarithms , and the manner of calculating them . The logarithm of a number to a given base is the exponent of the power to which the base must be raised to give ...
... logarithms ; and thus it is neces- sary to explain the nature and use of logarithms , and the manner of calculating them . The logarithm of a number to a given base is the exponent of the power to which the base must be raised to give ...
Página 90
... logarithm of 7 , the root required . 5. Given log102 = 0.30103 ; find logo 128 , logo 512 . 6. Given log13 = 0.47712 ; find log1 81 , log1 2187 . 7. Given log103 ; find log10 V33 . Ans . 2.10721 , 2.70927 . Ans . 1.90849 , 3.33985 ...
... logarithm of 7 , the root required . 5. Given log102 = 0.30103 ; find logo 128 , logo 512 . 6. Given log13 = 0.47712 ; find log1 81 , log1 2187 . 7. Given log103 ; find log10 V33 . Ans . 2.10721 , 2.70927 . Ans . 1.90849 , 3.33985 ...
Página 93
... logarithms are respectively 3.461 , 0.30203 , 5.47123 , 2.67101 ? 4. Given log 2 = 0.30103 ; find the number of digits in the integral part of 810 , 212 , 1620 , 2100 Ans . 10 , 4 , 25 , 31 . 65. Comparison of Two Systems of Logarithms . — ...
... logarithms are respectively 3.461 , 0.30203 , 5.47123 , 2.67101 ? 4. Given log 2 = 0.30103 ; find the number of digits in the integral part of 810 , 212 , 1620 , 2100 Ans . 10 , 4 , 25 , 31 . 65. Comparison of Two Systems of Logarithms . — ...
Página 94
... logarithms by mul- tiplying each logarithm in the given list by the modulus of the common system 1 log , 10 Putting a form in ( 1 ) , we have log , a = 1 = loga a logab log , b ' .. log , ax log , b = 1 . by ( 2 ) of Art . 63 . EXAMPLES ...
... logarithms by mul- tiplying each logarithm in the given list by the modulus of the common system 1 log , 10 Putting a form in ( 1 ) , we have log , a = 1 = loga a logab log , b ' .. log , ax log , b = 1 . by ( 2 ) of Art . 63 . EXAMPLES ...
Página 95
... logarithms . In most tables they are given to six places of decimals , though they may be calculated to various degrees of approximation , such as five , six , seven , or a higher number of decimal places . Tables of logarithms to seven ...
... logarithms . In most tables they are given to six places of decimals , though they may be calculated to various degrees of approximation , such as five , six , seven , or a higher number of decimal places . Tables of logarithms to seven ...
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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.