 | Matthew O'Brien - Geometry, Analytic - 1844 - 210 pages
...P, in terms of SP. PROP. LXXVI1. 288. To find the perpendicular from С upon the tangent, in terms of the angle which the tangent makes with the axis of x, The equation of a Hue making an angle 0 with the axis of x and at a perpendicular distance ^ from the origin... | |
 | Thomas Grainger Hall - Calculus - 1846 - 480 pages
...told, that if y be the ordidy nate and ее the abscissa of a curve, — is the trigonometrical d¿v tangent of the angle, which the tangent makes with the axis of ее ; that if и be the area of the same curve, — - = у ; an equaax tion by which hereafter the... | |
 | Mathematics - 1846 - 338 pages
...form x ( l\ y = a(m+ - ), m \ m) where a is one-fourth of the parameter, and m the trigonometrical tangent of the angle which the tangent makes with the axis of y. Hence, if x1i y1 be the coordinates of the point of intersection of x y = а m + .. , x ! , 1 Xvitn... | |
 | Thomas Gaskin - Geometry, Analytic - 1847 - 301 pages
...curves are at right angles. 16. Let a tangent be drawn to an ellipse from a point h, k> and let m be the tangent of the angle which the tangent makes with the axis of x ; then its equation is y - moo = <\/b2 + a2m2 ; and since it passes through the point h, Jc, k —... | |
 | Elias Loomis - Calculus - 1851 - 296 pages
...be two tangents which have different values ; and since the first differential coefficient expresses the tangent of the angle which the tangent makes with the axis of abscissas, this coefficient must have as many values as there are intersecting branches. For a multiple... | |
 | Thomas Grainger Hall - Calculus - 1852 - 404 pages
...point. (1°) Let the values of the first differential coefficient be considered. Since -j- represents the tangent of the angle which the tangent makes with the axis of я, if -Д = 0, the tangent is parallel to the axis of x, and this circumstance generally indicates... | |
 | Augustus William Smith - Mechanics, Analytic - 1855 - 368 pages
...sin. a=cos. i. SX Tan. z= -zrW, or Z.X+ZY tan. t=0. (20, — - , But the differential expression for the tangent of the angle which the tangent makes with the axis of a; is -j-. Therefore. substituting and reducing, SXdx+£.Y.rfy=0. (21) Whenever the line on which the... | |
 | Elias Loomis - Calculus - 1859 - 320 pages
...be two tangents which have different values ; and since the first differential coefficient expresses the tangent of the angle which the tangent makes with the axis of abscissas, this coefficient must have as many values as there are intersecting branches. For a multiple... | |
 | William Smyth - Calculus - 1859 - 244 pages
...34, that — , or the first differential co-efficient, dx expresses the value of the trigonometrical tangent of the angle which the tangent makes with the axis of x. In the case, then, of a maximum or minimum, we shall have = 0; since, when the tangent is parallel... | |
 | Elias Loomis - Calculus - 1859 - 304 pages
...two tangents which have different values; and since the first differential coefficient expresses ihe tangent of the angle which the tangent makes with the axis of abscissas, this coefficient must have as many values as there are intersecting branches. For a multiple... | |
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... the tangent of the angle which the tangent makes with the axis of abscissas, this coefficient must have as many values as there are intersecting branches. 
