| De Volson Wood - 1882 - 333 páginas
...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 x** is у = mx — m 57. In the ellipse x* + 4yf = 9, show that the locus of the middle points of all chords... | |
| Edward Albert Bowser - 1880 - 287 páginas
...because it is evidently satisfied when x' and y' are substituted in it for x and y. The constant a **is the tangent of the angle which the line makes with the axis of x,** or the ratio of the sines of the angles which the line makes with the two axes respective! y, according... | |
| George Anthony Hill - 1880 - 188 páginas
...the straight line, a and b denote the intercepts of the line on the axes of x and y respectively, TO **the tangent of the angle which the line makes with the axis of x,** p the perpendicular on the line from the origin, a the angle which this perpendicular makes with the... | |
| United States. War Dept - 1882
...observations, and hence a and h are the quantities tobo derived from the equations. The quantity a becomes **the tangent of the angle which the line makes with the axis of** abscissas, and b the distance from the origin to where the line intersects the axis of ordiuates. In... | |
| Simon Newcomb - 1885 - 356 páginas
...assume the form a cos a + b sin a — p = ± r. (2) 69. Equation of the tangent expressed in terms of **the tangent of the angle which the line makes with the axis of X.** Let y = mx -j- b be the equation of the tangent, and x' + y' = r' the equation of the circle. Eliminating... | |
| John Hunter - 1885 - 87 páginas
...— , or ^-=— ; henco by substitution 2a m 2 m ' which is the equation to the tangent in terms of **the tangent of the angle which the line makes with the axis of** the parabola. 80. To find the equation to the normal at any point on a parabola. Let (x1, y') be the... | |
| Simon Newcomb - 1887 - 307 páginas
...equation of any straight line through this point may be expressed in the form yy t =m(x- a;,); (5) m being **the tangent of the angle which the line makes with the axis of X.** But we have shown (§ 20) that m = -p, dx, dy, this differential coefficient being formed by differentiating... | |
| United States. War Department - 1887
...showing •he relation between them is practically a right line, whoso equation is v'=an+b, ¡n which a **is the tangent of the angle which the line makes with the axis of** abscisfa *- aud b tho distance from the origin to tho point of intersection with the axis of "Hliuatcs.... | |
| John Daniel Runkle - 1888 - 344 páginas
...If the independent term (7=0, through what point does the line pass? In the equation Ax+By=0, what **is the tangent of the angle which the line makes with the axis of X?** Upon which of the parameters does the direction of line (/) depend? 2. If A = 0, By + C= 0 ; if B =... | |
| Osmond Fisher - 1889 - 391 páginas
...commonly used for it is - , where c is the capacity for y, V \p, M* V," w. \ •• V. tf4 gradient), **is the tangent of the angle which the line makes with the** vertical within the several strata. Accordingly it appears that, if observations are taken at underground... | |
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