 | George Salmon - Conic sections - 1863 - 412 pages
...second where this line meets it, these tangents will intersect on the normal to the first conic. Ex. 4. Find the locus of the points of contact of tangents to a series of confoeal ellipses from a fixed point on the axis major. Ans. A circleEx. 5. The lines joining each... | |
 | George Salmon - Conic sections - 1869 - 426 pages
...second where this line meets it, these tangents will intersect on the normal to the first conic. Ex.4. Find the locus of the points of contact of tangents to a series of confocal ellipses from a fixed point on the axiaJmajorV Ans. A circle. Ex. 5. The lines joining each focus to... | |
 | William Henry Besant - Conic sections - 1869 - 304 pages
...tangent and normal at a point P of an ellipse meet the axis major in T and G respectively, prove that 76. Find the locus of the points of contact of tangents to a series of confocal ellipses from a fixed point in the axis major. 77. A series of confocal ellipses intersect a given... | |
 | George Salmon - Conic sections - 1879 - 452 pages
...second where this line meets it, these tangents will intersect on the normal to the first conic, Ex. 4. Find the locus of the points of contact of tangents to a scries of confocal ellipses from a fixed point on the axis major. Ans. A circle. Ex. 6. The lines joining... | |
 | London univ, exam. papers, John Edward Aloysius Steggall - Mathematics - 1882 - 264 pages
...the fourth degree, except when 0=gir, in which case it becomes the director circle of the ellipse. 9. Find the locus of the points of contact of tangents to a series of confocal ellipses from a fixed external point, noticing the case when the point is on one of the coordinate... | |
 | Charles Smith - Conic sections - 1883 - 452 pages
...point on the x' if ellipse -j + jt = 1 whose eccentric angle is a has for equation . . cos a sin a 21. Find the locus of the points of contact of tangents to a series of confocal conies from a given point in the major axis. 22. If A., /A be the parameters of the confocals which... | |
 | John Daniel Runkle - Geometry, Analytic - 1888 - 370 pages
...tangents to the parabola y2 = 4 7>a; which intersects at right angles, then a^ , 6?_ J_ 6* a* p3 18. The locus of the points of contact of tangents to a series of confocal ellipses drawn from a fixed point on the major axis is a circle. 19. The length of the chord of an... | |
 | Sir Asutosh Mookerjee - Conic sections - 1893 - 197 pages
...axis in T and 6-', prove that (i) iY(7 . CT= C'B 2 . (ii) tf<S'. GT= CS*. [Apply Prop. XX.] Ex. 4. Find the locus of the points of contact of tangents...a series of confocal hyperbolas from a fixed point on the axis. [From Ex. 3 (ii), G- the foot of the normal is fixed ; hence P lies on the circle of which... | |
 | Charles Smith - Conic sections - 1916 - 466 pages
...point on the ellipse -j + j£ = 1 whose eccentric angle is a has for equation ^ y" au cos2 a sin2 a 21. Find the locus of the points of contact of tangents to a series of confocal conics from a given point in the major axis. 22. If X, n be the parameters of the confocals which pass... | |
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... conies, if we draw any tangent to one and tangents to the second where this line meets it, these tangents will intersect on the normal to the first conic. 