1. Mathematical Tables1916 - Engineering - 186 pages |
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Page 117
... plot the parabola y1 = x2 , and the straight line y2 = px + q . The abscissæ of the points of intersection will be the roots of the equation . If the line does not cut the parabola , the roots are imaginary . Equations of the Third ...
... plot the parabola y1 = x2 , and the straight line y2 = px + q . The abscissæ of the points of intersection will be the roots of the equation . If the line does not cut the parabola , the roots are imaginary . Equations of the Third ...
Page 119
... plot the curve more accurately in each of these regions . Thus , by successive approximations , plotting the important parts of the curve on a larger and larger scale , determine as accurately as necessary the points where the curve ...
... plot the curve more accurately in each of these regions . Thus , by successive approximations , plotting the important parts of the curve on a larger and larger scale , determine as accurately as necessary the points where the curve ...
Page 170
... Plot the area under the curve y f ( x ) from x = a to x b on squared paper and measure this area roughly by " counting squares , ' or more accu- rately , by the use of a planimeter ( $ 14 to $ 35 ; instruction for use with each ...
... Plot the area under the curve y f ( x ) from x = a to x b on squared paper and measure this area roughly by " counting squares , ' or more accu- rately , by the use of a planimeter ( $ 14 to $ 35 ; instruction for use with each ...
Page 173
... plotting the points ( x , y ) on rectangular co - ordinate paper , and drawing a smooth curve through these points . The points which correspond to actual data should be clearly indicated by small circles or crosses , inter- mediate ...
... plotting the points ( x , y ) on rectangular co - ordinate paper , and drawing a smooth curve through these points . The points which correspond to actual data should be clearly indicated by small circles or crosses , inter- mediate ...
Page 175
... plotting F ( x , y ) instead of x , and ƒ ( x , y ) instead of y , on rec- tangular cross - section paper , and seeing ... plot the points ( x , y ) on semi - logarithmic paper ( see below ) . CASE 4. If the given curve resembles the ...
... plotting F ( x , y ) instead of x , and ƒ ( x , y ) instead of y , on rec- tangular cross - section paper , and seeing ... plot the points ( x , y ) on semi - logarithmic paper ( see below ) . CASE 4. If the given curve resembles the ...
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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