| John Hunter (of Uxbridge.) - 1866
...hence by substitution 2/7 2a TO 2 TO y=mx+— ; 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 (x', 2/') be the... | |
| John Hunter (of Uxbridge.) - 1866
...radius =2a=DS. 9. Let 7/2=4aa; be the equation to the parabola. The equation to the tangent, in terms of **the tangent of the angle which the line makes with the axis,** is y'=mx' + — , or m2— ¥-, m+ — , =0 : m o> of solving this quadratic, we obtain bat a;'= ^-—... | |
| W. P. TURNBULL, M.A. - 1867
...—, maybe written y = —- x 4- —, or, if —7 be denoted by m, V y 2a' y 1 J ym — — (1} Here **m is the tangent of the angle which the line makes with the axis of x.** Conversely any line whose equation is of the form y — x tan 0 + a cot #, touches the parabola y*... | |
| W. P. Turnbull - 1867 - 272 páginas
...y' -e 2a . , . , , y= — x+ ^~ , or, it —7 be denoted by m, y 2a y y = mx-\ — ••(!)• Here **m is the tangent of the angle which the line makes with the axis of x.** Conversely any line whose equation is of the form y = x tan 6 + a cot 0, touches the parabola y' =... | |
| George Holmes Howison, Joseph Ray - 1869 - 574 páginas
...conveniently written y — II' X — X' 7 . where s and c are abbreviations for the sine and cosine **of the angle which the line makes with the axis of x.** 1O2. Geometric meaning of the ratio /.—If, in the annexed diagram, P' denote the fixed point x'y',... | |
| Edward Olney - 1870 - 152 páginas
...after reduction, y = ax -\- b, which is the common equation of the straight line. In this equation a **is 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 ordinates. SCH.... | |
| Edward Olney - 1871 - 356 páginas
...coefficient — '-— as obtained in the several x — x c«ses in Ex. 4, 10, and 1. But this coefficient **is the tangent of the angle which the line makes with the axis of x** (31, COB. 1). , Ex. 1. What angle does a tangent to ya = Bx make with the axis of x, when the point... | |
| Gerardus Beekman Docharty - 1865 - 306 páginas
...co-efficient we have divided the equation. Illustration. If 3y=6x— 9, then y — 2x— 3. Here 2 **is the tangent of the angle which the line makes with the axis of** a;, and —3 is the distance from the origin to the point where the line cuts the axis of y. Or, solving... | |
| Great Britain. Education Department. Department of Science and Art - 1877
...expression for the length of the portion of the line which is intercepted between the two curves in terms **of the angle which the line makes with the axis of x.** 24. Prove that in order to find the differential co-efficient of a defi::::e integral with respect... | |
| Rev. James White - 1878 - 148 páginas
...ratio to each, other. Also, it is evident that m = -'-, which in rectangular 33 . axes = tan XOP, ie = **tangent of the angle which the line makes with the axis of x.** When a line does not pass through the origin, its equation can be found thus :—Draw through the origin... | |
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