 | Norman Macleod Ferrers - 1861 - 206 pages
...that the latus-rectum of one of these ia equal to the sum of the latera-recta of the other three. 3. On a fixed tangent to a conic are taken a fixed point...of their point of intersection is a straight line. 4. Two variable tangents are drawn to a conic section so that the portion of a fixed tangent, intercepted... | |
 | Norman Macleod Ferrers - Conic sections - 1876 - 230 pages
...these is equal to the sum of the latera-recta of the other three. 3. On a fixed tangent to a conie are taken a fixed point A, and two moveable points...the conic, prove that the locus of their point of inter. section is a straight line. 4. Two variable tangents are drawn to a conic section so that the... | |
 | 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... | |
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... equal to the sum of the latera-recta of the other three. 3. On a fixed tangent to a conic are taken a fixed point A, and two moveable points P, Q, such that AP, AQ, subtend equal angles at a fixed point 0. From P, Q are drawn two other tangents to... 