 | Alfred Wrigley - 1845 - 222 pages
...conjugate to that whose equation is yг=^(xг.\.aг). The latus rectum =8a, the eccentricity = V^. 118. If normals be drawn to an ellipse from a given point within it, the points where they cut the curve will all lie in a rectangular hyperbola which passes through the given point and has... | |
 | Isaac Todhunter - Geometry - 1855 - 332 pages
...drawn to an ellipse from a given point, the points where they cut the curve will lie on a rectangular hyperbola which passes through the given point and...its asymptotes parallel to the axes of the ellipse. 11. With two conjugate diameters of an ellipse as asymtotes a pair of conjugate hyperbolas is constructed... | |
 | Isaac Todhunter - Conic sections - 1858 - 334 pages
...drawn to an ellipse from a given point, the points where they cut the curve will lie on a rectangular hyperbola which passes through the given point and...its asymptotes parallel to the axes of the ellipse. 11. If CM, MP, are the abscissa and ordinate of any point P in a circle, and MQ is taken equal to MP... | |
 | Alfred Wrigley - Mathematics - 1862 - 330 pages
...being the pole, having given SP — HP = 2 AC ; and draw the asymptote by means of this equation. 30. If normals be drawn to an ellipse from a given point within it, the points where they cut the curve will all lie in a rectangular hyperbola which passes through the given point and has... | |
 | Isaac Todhunter - 1862 - 376 pages
...an ellipse from a given point. the points where they cut the curve will lie on a rectangu!ihyperbola which passes through the given point and has its asymptotes parallel to the axes of the ellipse. 11. If CM, MP are the abscissa and ordinate of any point P, on the circumference of a circle, and MQ... | |
 | George Hale Puckle - Conic sections - 1870 - 380 pages
...all ellipses having the same foci, the locus of the point of contact is an equilateral hyperbola. 38. If normals be drawn to an ellipse from a given point...point, and has its asymptotes parallel to the axes of th« ellipse. 39. Find the locus of the middle points of chords in a circle, which touch a concentric... | |
 | George Hale Puckle - Conic sections - 1887 - 404 pages
...all ellipses having the same foci, the locus of the point of contact is an equilateral hyperbola. 38. If normals be drawn to an ellipse from a given point...its asymptotes parallel to the axes of the ellipse. 39. Find the locus of the middle points of chords in a circle, which touch a concentric ellipse. joined... | |
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If normals be drawn to an ellipse from a given point within it, the points where they meet the curve will all lie in an equilateral hyperbola which passes through the given point, and has its asymptotes parallel to the axes of the ellipse. 