1. Mathematical Tables1916 - Engineering - 186 pages |
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Page 87
... Curves .. PAGE 138 140 144 147 151 Financial Arithmetic .. 98 DIFFERENTIAL AND INTEGRAL GEOMETRY AND MENSURATION CALCULUS Geometrical Theorems . 99 Geometrical Constructions .. 101 Derivatives and Differentials .. 157 Lengths and Areas ...
... Curves .. PAGE 138 140 144 147 151 Financial Arithmetic .. 98 DIFFERENTIAL AND INTEGRAL GEOMETRY AND MENSURATION CALCULUS Geometrical Theorems . 99 Geometrical Constructions .. 101 Derivatives and Differentials .. 157 Lengths and Areas ...
Page 105
... curves , see pp . 139-156 . LENGTHS AND AREAS OF PLANE FIGURES Right Triangle ( Fig . 45 ) . a2 + b2 = c2 . Area = 2a2 cot A = 1⁄2b2 tan A = 14c2 sin 2A . = 1⁄44a2√3 = 0.43301a2 . = 11⁄2 ab = Equilateral Triangle ( Fig . 46 ) . Area b ...
... curves , see pp . 139-156 . LENGTHS AND AREAS OF PLANE FIGURES Right Triangle ( Fig . 45 ) . a2 + b2 = c2 . Area = 2a2 cot A = 1⁄2b2 tan A = 14c2 sin 2A . = 1⁄44a2√3 = 0.43301a2 . = 11⁄2 ab = Equilateral Triangle ( Fig . 46 ) . Area b ...
Page 107
... Curves . FIG . 62 . For lengths and areas , see pp . 147-156 . SURFACES AND VOLUMES OF SOLIDS = Bh . Lateral area = Regular Prism ( Fig . 63 ) . Volume 11⁄2nrah nah Ph . Here n = number of sides ; B = area of base ; P perimeter of base ...
... Curves . FIG . 62 . For lengths and areas , see pp . 147-156 . SURFACES AND VOLUMES OF SOLIDS = Bh . Lateral area = Regular Prism ( Fig . 63 ) . Volume 11⁄2nrah nah Ph . Here n = number of sides ; B = area of base ; P perimeter of base ...
Page 111
... curve , length 1 , revolves about an axis in its plane but not cutting it ; and let s = length of circular arc traced by its center of gravity . Then area of the surface generated by l is S = = ls . For a complete revolution , S 2πrl ...
... curve , length 1 , revolves about an axis in its plane but not cutting it ; and let s = length of circular arc traced by its center of gravity . Then area of the surface generated by l is S = = ls . For a complete revolution , S 2πrl ...
Page 117
... curve y1 = x3 , and the straight line y2 The abscisse of the points of intersection will be the roots of the equation . Equations of the Third Degree ( General Case ) . Solution : The gen- eral cubic equation , after dividing through by ...
... curve y1 = x3 , and the straight line y2 The abscisse of the points of intersection will be the roots of the equation . Equations of the Third Degree ( General Case ) . Solution : The gen- eral cubic equation , after dividing through by ...
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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