 | Henry Parr Hamilton - Conic sections - 1834 - 240 pages
...point in AX, y' = 0, and ,x = AS = m ; therefore by substitution = .-. x + in as was required. 66. To find the polar equation to the parabola, the focus being the pole. Let P be any point, whose co-ordinates are AM, MP, and let SP = r, angle ASP = u>. Then (65) r = m... | |
 | Henry Parr Hamilton - Mathematics - 1834 - 272 pages
...being a point in AX, y = 0, and x = AS = m ; therefore by substitution = .-. x + m as was required. 66. To find the polar equation to the parabola, the focus being the pole. Let P be any point, whose co-ordinates are AM, MP, and let SP = r, angle ASP = to. Then (65) r = m+... | |
 | John Hymers - Conic sections - 1845 - 252 pages
...= (c + mx + ny)2 belongs to a parabola of which the origin is the focus, provided m2 + n2 = 1. 75. To find the polar equation to the parabola, the focus being the pole. Let SP = r, / PS x = 9, (fig. 26) be the polar co-ordinates of any point P; then SP = PM = XS + SN,... | |
 | Isaac Todhunter - 1855 - 376 pages
...represented by (1) and (2) meet at the point for which this proves the theorem. Polar Equation. 154. To find the polar Equation to the parabola, the focus being the pole. Let SP=r, ASP=0; (see Fig. to Art. 125), then SP=PN, by definition; that is, SP=OS+SM; or r = 2a +... | |
 | Isaac Todhunter - Conic sections - 1858 - 334 pages
...represented by (1) and (2) meet at the point for which this proves the theorem. Polar Equation. 154. To find the Polar Equation to the parabola, the focus being the pole. Let SP=r, ASP= 0, (see Fig. to Art. 125) ; then SP=PN, by definition; that is, SP= 0S+ SM; or r = 2<z... | |
 | Woolwich roy. military acad - 1864 - 588 pages
...straight lines whose equations are given. At what angle do the lines 2y+x+B=0, 3y—x+2=0 intersect ? Find the polar equation to the parabola, the focus being the pole. If PSp be any chord of a parabola drawn through the focus S, and if L be the latus rectum of the parabola,... | |
 | Samuel H. Winter - 1867 - 468 pages
...whose equations are given. (2) At what angle do the lines 2y+x+3=0 and 3y—a; + 2=0 intersect ? (3) Find the polar equation to the parabola, the focus being the pole. If psp be any chord of a parabola drawn through the focus s, and if L be the latus rectum of the parabola,... | |
 | Bombay city, univ - 1873 - 614 pages
...CoOKE, MA,MI, LL.B. ; jAJfES BUBOEBS,.FROSM MKA [The figures to the right indicate full marks.] 1. Find the polar equation to the Parabola the focus » being the pole. 2. Trace the curves y = lat, and * + 4ay = 0 ; and 6 determine their points of intersection. 3. Find... | |
 | George Hale Puckle - Conic sections - 1887 - 404 pages
...interpreted by Chap. vin. 209. To find the polar equation to the ellipse or hyperbola, the focus being pole. Here we have to find the polar equation to the locus of Art. 206, the given point being a focus, and the given line the corresponding directrix. In the figure of... | |
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To find the polar equation to the parabola, the focus being the pole. 