1. Mathematical Tables1916 - Engineering - 186 pages |
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Page 87
... Ellipse ... • Logarithms .. 91 The Hyperbola . The Slide Rule .. 94 The Catenary . Computing Machines . 97 Other Useful Curves .. PAGE 138 140 144 147 151 Financial Arithmetic .. 98 DIFFERENTIAL AND INTEGRAL GEOMETRY AND MENSURATION ...
... Ellipse ... • Logarithms .. 91 The Hyperbola . The Slide Rule .. 94 The Catenary . Computing Machines . 97 Other Useful Curves .. PAGE 138 140 144 147 151 Financial Arithmetic .. 98 DIFFERENTIAL AND INTEGRAL GEOMETRY AND MENSURATION ...
Page 105
... ellipses and other 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 ...
... ellipses and other 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 ...
Page 106
... 180 n4 -f " " " ( X ) , where f " " " ( X ) is the value of the fourth de- rivative of f ( x ) for some ( unknown ) value , x = X , between a and b . Ellipse ( Fig . 59 ; see also p . 106 ELEMENTARY GEOMETRY AND MENSURATION.
... 180 n4 -f " " " ( X ) , where f " " " ( X ) is the value of the fourth de- rivative of f ( x ) for some ( unknown ) value , x = X , between a and b . Ellipse ( Fig . 59 ; see also p . 106 ELEMENTARY GEOMETRY AND MENSURATION.
Page 107
Edward Vermilye Huntington, Louis Albert Fischer. Ellipse ( Fig . 59 ; see also p . 140 ) . segment = where K For m K = Area of ellipse = Tab . Area of shaded xy + ab sin1 ( x / a ) . Length of perimeter of ellipse π ( a + b ) K ...
Edward Vermilye Huntington, Louis Albert Fischer. Ellipse ( Fig . 59 ; see also p . 140 ) . segment = where K For m K = Area of ellipse = Tab . Area of shaded xy + ab sin1 ( x / a ) . Length of perimeter of ellipse π ( a + b ) K ...
Page 108
... ellipse . ) Any Ungula of a right circular cylinder . ( Figs . 69 and 70. ) Volume H ( a3 ± cB ) / ( r ± c ) = H [ a ( r2 — a2 ) ± r2 c rad u ] / ( r ± c ) . Lateral area = H ( 2racs ) / ( r ± c ) 2rH ( ac rad u ) / ( r ± c ) . If base ...
... ellipse . ) Any Ungula of a right circular cylinder . ( Figs . 69 and 70. ) Volume H ( a3 ± cB ) / ( r ± c ) = H [ a ( r2 — a2 ) ± r2 c rad u ] / ( r ± c ) . Lateral area = H ( 2racs ) / ( r ± c ) 2rH ( ac rad u ) / ( r ± c ) . If base ...
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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