...vertex is an ellipse. 50. Show that the equation to the normal of an ellipse expressed in terms of the tangent of the angle which the line makes with the axis of a* -Z>" x is y = mx — m . . Va* + m'b* 57. In the ellipse z* + 4y* = 9, show that the locus of the...

...log B -j- n log x, which is the equation of a straight line in logarithmic units. In this equation n is the tangent of the angle which the line makes with the axis of abscissae, and B is the intercept on this axis from the origin. Paper designed by Prof. VV. F. Durand...

...Fig. 15. The equation of a FIG. 15. straight line through T is y — y' = a (x — я1), in which a is the tangent of the angle which the line makes with the X-axis. By Art. 27, Therefore dx' (1) is the equation of the tangent to the curve y = f(x) at the point...

...where the F-axis is cut by the straight line, drawn as nearly as may be through the points; and ft is the tangent of the angle which the line makes with the -<¥-axis. In this way four sets of coefficients were obtained, here given in English measure. I. Cement and carefully...

...where the F-axis is cut by the straight line, drawn as nearly as may be through the points; and ft is the tangent of the angle which the line makes with the X-axis. In this way four sets of coefficients were obtained, here given in English measure. I. Cement...

...reading on the logarithmic scale of the point of intersection of the line with the vertical line u=o ; k is the tangent of the angle which the line makes with the increasing direction of the axis of u. Thus any curve having an exponential equation of the form /=c¿"...

...ordinate and log r as the variable abscissa, log m being the intercept on the axis of ordinates and n the tangent of the angle which the line makes with the axis of abscissas. On plotting the points corresponding to the values of log v and log r, it is seen that a...

...by the horizontal advance RS- and this quotient is equal to — 2. Trigonometrically, the gradient a is the tangent of the angle which the line makes with the a;-axis. When the line has a right-hand downward slope, the angle may be taken to be the negative angle...

...horizontal ; when the angle is 90° the gradient is said to be infinite. Trigonometrically , the gradient a is the tangent of the angle which the line makes with the o; -axis. When the line has a right-hand downward slope (Fig. 2), the angle may be take.n to be the...

...log B + » log x, which is the equation of a straight line in logarithmic units. In this equation « is the tangent of the angle which the line makes with the axis of abscissae, and B is the intercept on this axis from the origin. Paper ruled in this manner can be obtained...