 | Manchester Literary and Philosophical Society - Science - 1848 - 536 pages
...represent the rectangular co-ordinates of any point in the tangent to the point Y' x ; and T the tangent of the angle which the tangent to the curve makes with the axis of x, Then we shall have, Gregory's examples on the differential and integral calculus, page 142. We have... | |
 | George Wirgman Hemming - Calculus - 1852 - 224 pages
...the instance in the text, this often affords a ready method of elimination. 198. If we denote by T the angle which the tangent to the curve makes with the axis of x, we have _d*ydx-d*xdy • . Q,T - - J - g - J - " - J dy" + dx* <fr _ dyd*x - dxd*y •'' fa~- ~~3?... | |
 | Isaac Todhunter - Calculus of variations - 1871 - 300 pages
...fixed point, p the radius of curvature ; then the last equation gives 4*+a*!-* 1 as 2 as r Let $ be the angle which the tangent to the curve makes with the axis of x ; and assume Oj = & sin /3, G 2 = k cos /3 ; thus Jc p = ^ cos (£-£). This is the well-known intrinsic... | |
 | Isaac Todhunter - Calculus of variations - 1871 - 296 pages
...curve measured from a fixed point, p the radius of curvature ; then the last equation gives Let <f> be the angle which the tangent to the curve makes with the axis of x ; and assume Ct = k sin /3, Ct = Je cos ft ; thus /> = 2 cos (<£-£). This is the well-known intrinsic... | |
 | Edward Olney - Calculus - 1871 - 394 pages
...represents the tangent to an hyperbola referred to rectangular asymptotes, — —, is the tangent of the angle which the tangent to the curve makes with the axis of x ; and 2j/' is the distance from the origin at which the tangent cuts the axis of y, as in all equations... | |
 | Edward Olney - Calculus - 1871 - 402 pages
...represents the tangent to an hyperbola referred to rectangular asymptotes, — —, is the tangent of the X angle which the tangent to the curve makes with the axis of x ; and 2y' is the distance from the origin at which the tangent cuts the axis of y, as in all equations... | |
 | Thomas Preston - Heat - 1894 - 744 pages
...the absolute temperature of the triple point (<tp\ =hi ' But dpfdr is the trigonometrical tangent of the angle which the tangent to the curve makes with the axis 00, and as the latent heats and differences of specific volume are in general different for the three... | |
 | American Mathematical Society - Mathematics - 1906 - 750 pages
...representation. The integral there given is (3) -I where 8 is the length of arc along the curve, and r is the angle which the tangent to the curve makes with the a--axis, defined by the equations xy cos r = -— - . sin T •• VV + /' The integral (2) may be... | |
 | John Perry - Mathematics - 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 of... | |
 | John Perry - Mathematics - 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... | |
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Interpretation of the equation y = — —,x -f- 2j/'. If this represents the tangent to an hyperbola referred to rectangular asymptotes, — —, is the tangent of the angle which the tangent to the curve makes with the axis of x ; and 2j... 
