1. Mathematical Tables1916 - Engineering - 186 pages |
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Page 58
... ( loge ) of numbers between 1 and 10 , correct to four places . Moving the decimal point n places to the right [ or left ] in the number is equiva- lent to adding n times 2.3026 [ or n times 3.6974 ] to the logarithm . Base e = 2.71828 + ...
... ( loge ) of numbers between 1 and 10 , correct to four places . Moving the decimal point n places to the right [ or left ] in the number is equiva- lent to adding n times 2.3026 [ or n times 3.6974 ] to the logarithm . Base e = 2.71828 + ...
Page 107
... loge + A = a sinh − 1 ( y / a ) = 붕 ) . In an equilateral hyperbola ( a = b ) , area A = . a2 cosh - 1 ( x / a ) . For tables of hyperbolic functions , see p . 60 . Here x and y are co - ordinates of point P. Parabola ( Fig . 61 ; see ...
... loge + A = a sinh − 1 ( y / a ) = 붕 ) . In an equilateral hyperbola ( a = b ) , area A = . a2 cosh - 1 ( x / a ) . For tables of hyperbolic functions , see p . 60 . Here x and y are co - ordinates of point P. Parabola ( Fig . 61 ; see ...
Page 113
... loge N means that e * = N. Loga- rithms to base 10 are called common , denary , or Briggsian logarithms . For table of 4 - place common logarithms see pp . 40-43 . = == Logarithms to base e are called hyperbolic , natural , FORMAL ...
... loge N means that e * = N. Loga- rithms to base 10 are called common , denary , or Briggsian logarithms . For table of 4 - place common logarithms see pp . 40-43 . = == Logarithms to base e are called hyperbolic , natural , FORMAL ...
Page 114
... loge x = 2.3026 log10x . • For tables of multiples of M and 1 / M , see p . 62. For graphs of the logar- ithmic and exponential functions , see p . 174 ; series , p . 160 . The Binomial Theorem . ( For table of binomial coefficients ...
... loge x = 2.3026 log10x . • For tables of multiples of M and 1 / M , see p . 62. For graphs of the logar- ithmic and exponential functions , see p . 174 ; series , p . 160 . The Binomial Theorem . ( For table of binomial coefficients ...
Page 127
... loge ( x + iy ) = loger i ± k · 2πi . The functions If any point A is given , there will be an infinite number of points X such that sin X A ; any one of these may be denoted by sin - 1 A. cos - 1A , sinh - 1 A , etc. , are defined in a ...
... loge ( x + iy ) = loger i ± k · 2πi . The functions If any point A is given , there will be an infinite number of points X such that sin X A ; any one of these may be denoted by sin - 1 A. cos - 1A , sinh - 1 A , etc. , are defined in a ...
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Common terms and phrases
9 Avg angle asymptotes axes axis binomial coefficients bisects body of table chord coefficients COMMON LOGARITHMS computation correct to four corresponding cosh Cosines Cotangents CUBE ROOTS CUBE ROOTS continued curvature curve cx² decimal point denoted diam diameter diff differential distance divide draw ellipse equal equivalent to moving Explanation of Table formula four figures fraction gram hyperbolic kilogram length logarithms loge machine meters Method moving it THREE Moving the decimal multiplication nth root parabola parallel perpendicular place in body plane plot point ONE place quantities radian radical axis radius requires moving scale segment Simultaneous Equations Sines sinh slide rule Solution specific gravity spherical SQUARE ROOTS straight line subtracting table gives tangent tanh triangle TRIGONOMETRIC FUNCTIONS unit variable vector VN N VN Volume x-axis y₁ zero