 | William Allen Whitworth - Coordinates, Trilinear - 1866 - 574 pages
...locus of the pole of a fixed line with regard to a series of confocal conies is a straight line. (248) On a fixed tangent to a conic are taken a fixed point...of their point of intersection is a straight line. "er (249) Chords are drawn to a conic, subtending a right angle at a fixed point; prove that they all... | |
 | William Allen Whitworth - Coordinates, Trilinear - 1866 - 560 pages
...locus of the pole of a fixed line with regard to a series of confocal conies is a straight line. (248) On a fixed tangent to a conic are taken a fixed point A and two moveablc points P, Q, such that AP, AQ subtend equal angles at a fixed point 0. From P, Q are drawn... | |
 | Sidney Luxton Loney - Coordinates - 1896 - 447 pages
...0. 12. Two tangents to a parabola intercept on a fixed tangent segments whose product is constant ; prove that the locus of their point of intersection is a straight line. 13. Shew that the locus of the poles of chords which subtend a constant angle a at the vertex is the... | |
 | Charlotte Angas Scott - Conic sections - 1907 - 452 pages
...meet at a constant angle. 8. The sum of the inclinations of two tangents to a parabola is constant. Prove that the locus of their point of intersection is a straight line through the focus. What is the inclination of this line? 9. Prove that the chord of contact of the... | |
 | Reginald Charles Fawdry - Coordinates - 1921 - 236 pages
...15. If a second line through P in Qn. 14 cuts the axes at C and D respectively and AD, BC are joined, prove that the locus of their point of intersection is a straight line through O whose equation is $xjt-ay=Q. 16. A (a, o), B (o, b) are fixed points on the axes. A is joined... | |
| |
... intersection of perpendiculars of a triangle inscribed in an equilateral hyperbola lies on the curve. (246) The tangents from any point to two confocal conies are equally inclined to each other. (247) The locus of the pole of a fixed line with regard... 