 F') ; the diameter drawn through them is called the major axis, and the perpendicular bisector of this diameter the minor axis. It is also defined as the locus of a point which moves so that the ratio of its distance from a fixed point...  Elements of Geometry - Page 293by George Cunningham Edwards - 1895 - 293 pagesFull view - About this book
 | Geometry - 1973 - 204 pages
...sides of a trapezium divides the other two sides (or those sides produced) proportionally. tEx. laoa. Find the locus of a point which moves so that the ratio of its distances from two intersecting straight lines is constant. Ex. 18O3. Show how to draw through a given point within... | |
 | Thomas Tate (Mathematical Master, Training College, Battersea.) - 1860 - 404 pages
...parallels meet at E; prove that a parallel to BC through E, meeting AB, CD, is bisected at E. tEx. 156. Find the locus of a point which moves so that the ratio of its distances from two intersecting straight lines is constant. Ex. 157. Show how to draw through a given point within... | |
 | Actuarial Society of America - Insurance - 1923 - 580 pages
...vertical angle of a triangle divides the base into segments proportional to the sides. (6) Show that the locus of a point which moves so that the ratio of its distances from two fixed points is constant is a circle. 10. (a) Find the sum of the squares of the first n natural... | |
 | Aeronautics, Military - 1898 - 606 pages
...point m. In this case it will be the first object of A to intercept B on the course to Bizerta. Now the locus of a point which moves so that the ratio of its distances from two fixed points, a and b, is constant, will be a circle, having its centre on the line ab produced.... | |
 | 464 pages
...thirdly, plot the locus SP . HP = 3. All three loci should be drawn in the same figure. Ex. 1149. Plot the locus of a point which moves so that the ratio of its distances from two fixed points remains constant. (For example, let the two fixed points S, H be taken 3 in. apart;... | |
 | 288 pages
...(straight) lines through the common centre. The radical axis is missing. Theorem 4 is still true. THEOREM 6. The locus of a point which moves, so that the ratio of its powers for two given circles is constant, is a coaxal circle. Given. Two circles S^, ^2, with centres... | |
 | Actuarial Society of America - Insurance - 1919 - 584 pages
...Find the length of the tangent from the point (xtyi) to the circle a? + y* + 2gx + 2fy + c = 0 (2) Find the locus of a point which moves so that the ratio of the tangents drawn from it to two fixed circles is constant. 18. Find the condition that the straight... | |
 | 176 pages
...lines through the common centre. The radical axis is missing. Theorem 4 is still true. .THEOREM 6. The locus of a point which moves, so that the ratio of its powers for two given circles is constant, is a coaxal circle. Given. Two circles <<g>1, ^j with centres... | |
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