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" Let 6 be the angle which the tangent to the curve makes with the ^ axis. "
Researches in the Calculus of Variations, Principally on the Theory of ... - Page 251
by Isaac Todhunter - 1871 - 278 pages
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Practical Mathematics

John Perry - 1899 - 138 pages
...plot the curve on squared paper. -Л is sometimes called the slope of the curve, or the tangent of the angle which the tangent to the curve makes with the axis of a:, or it is sometimes called " the Differential Coefficient of у with regard to x," or " the rate...
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Practical Mathematics: Summary of Six Lectures Delivered to Working Men

John Perry - 1903 - 142 pages
...to plot the curve on squared paper. ~- is sometimes called the slope of the curve, or the tangent of the angle which the tangent to the curve makes with the axis of x, or it is sometimes called " the Differential Coefficient of y with regard to x" or " the rate of increase...
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Differential Calculus for Beginners

Alfred Lodge - 1908 - 356 pages
...y=f(x) is drawn, the values of -T— at the various points are the values of the tangent of the //X angle which the tangent to the curve makes with the axis of x, ie are the values of the ' gradient ' of the curve at the various points. This is obvious from a figure,...
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The Best Method of Demagnetizing Iron in Magnetic Testing, Issue 78

Charles William Burrows - 1908 - 88 pages
...an infinitesimal change in B to the corresponding change in //. Geometrically it is the tangent of the angle which the tangent to the curve makes with the // axis. The hysteresis loop is the path traced by the state point on a double reversal of a given magnetizing...
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Civil Engineers' Pocket Book: A Reference-book for Engineers, Contractors ...

Albert Irvin Frye - 1913 - 1698 pages
...= vertical distance traveled g*' = x tan 9 — 2»0' cos * 9 ' gx j — ^«w* v j—r = nat tan of angle which the tangent to the curve makes with the axis of X. Making -p- —0. we obtain the coordinates ax 3? and y of the point p' at the vertex of the curve;...
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Electric Power Transmission: Principles and Calculations, Including a ...

Alfred Still - 1919 - 446 pages
...The tension at any point in the span can, however, be very easily calculated. Thus, let 6 in Fig. 92 be the angle which the tangent to the curve makes with the horizontal FIG. 92. — Vector diagram of forces for calculating tension at any point in the span....
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Principles of Optics: Electromagnetic Theory of Propagation, Interference ...

Max Born, Emil Wolf - 2000 - 996 pages
...increasing w, the parameter w represents the length of arc of the curve measured from the origin. Let 6 be the angle which the tangent to the curve makes with the C-axis. Then — cos ( — i dn> \2 ie (21) Thus 6 increases monotonically with |w|. Since 6 = 0 when...
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Proceedings of the Royal Society of London, Volume 19

Royal Society (Great Britain) - 1871 - 652 pages
...the axis of p at right angles ; and from Art. 15 it follows that when r and p are indefinitely great, the angle which the tangent to the curve makes with the axis of j> is very nearly a right angle. Thus, for small values of r the curve is concave to the axis of p,...
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