 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
 | Dan Pedoe - Mathematics - 1995 - 146 pages
...and it is zero, of course, if P is on <€. Since XC + [iC" = 0 may be written as A -C1 we see that the locus of a point which moves so that the ratio of its powers with respect to two given circles <% and #' is a constant is a circle of the coaxal system determined... | |
 | Anthony Nicolaides - Algebra - 1995 - 228 pages
...greater than 1 , and Zt and Z2 are fixed complex Z-Z2 numbers then the equation represents a circle. A point which moves so that the ratio of its distances from two fixed points P, and P2, is constant, is the locus of a circle with respect to which Z, and Z2 are... | |
 | Brian Gaulter, Mark Gaulter - Juvenile Nonfiction - 2001 - 436 pages
...the English mathematician John Wallis (l6l6-I703). Conies as loci Analytically we define a conic as the locus of a point which moves so that the ratio of its distance from a fixed point to its distance from a fixed line is constant. The fixed point is called... | |
 | Colin Foster - Geometry - 2003 - 128 pages
...sin 9 , and the Cartesian equation is -^r + ^r = 1 . a~ b~ An alternative definition of an ellipse is "the locus of a point which moves so that the ratio of its distance from a fixed point to its perpendicular distance from a fixed line is a constant <1". The... | |
 | Mukut Mani Tripathi - Mathematics - 2005 - 166 pages
...acos(в — a) and r = bsm(в — ß) intersect at an angle (a — ß). DDD Chapter 4 Conies A conic is the locus of a point which moves so that the ratio of its distance from a fixed point to its distance from a fixed line is a (positive finite) constant. The... | |
 | Narayan Shanti & Mittal P.K. - Mathematics - 2007 - 436 pages
...perpendicular to CD and EF respectively. [Ans. (1 - m2) (y2 - m2x2) + (z2 - с2) (l + m2)2 = 0] 15. Find the locus of a point which moves so that the ratio of its distance from the given line is constant. 5 Transformation of Co-ordinates 5.1. INTRODUCTION The co-ordinates... | |
 | Mathematicians - 1904 - 580 pages
...vertices with the radius (or radius produced) of the directing circle is a cotiic. COBOLLABY 4. A conic is the locus of a point which moves so that the ratio of its distances from a fixed circle and a fixed point in its diameter (or diameter produced) is equal to unity. The linkage is very... | |
 | Military Academy, West Point - 906 pages
...unequal, the triangle which has the greater included angle has the greater third side. 12 Problem : To find the locus of a point which moves so that the ratio of its distances from two fixed points. A and B. Is constant and equal to in [In the construction makes in=y¿\. 10 Theorem... | |
 | 480 pages
...parallels meet at E ; prove that a parallel to BC through E, meeting AB, CD, is bisected at E. Ex. 47. Find the locus of a point which moves so that the ratio of its distances from two intersecting straight lines is constant. Ex. 48. ABCD is any parallelogram. From A a straight line... | |
 | 352 pages
...sides of a trapezium is double the other ; show that the diagonals trisect one another. t Ex. 1386. Find the locus of a point which moves so that the ratio of its distances from two intersecting straight lines is constant. • Ex. 1386. Show how to draw through a given point within... | |
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