 | Isaac Todhunter - Geometry - 1855 - 332 pages
...Entwicklungen, Vol. I. pp. 49 — 69.) We notice a few of these respecting the radical axis of two circles. 113. The radical axis is perpendicular to the line joining the centres of the two circles. Let the equations to the circles be (a;— a)2+ (y— 5)2 — c" =0, then the equation... | |
 | Isaac Todhunter - Conic sections - 1858 - 334 pages
...Entwickelungen, Vol. I. pp. 49 — 69.) We notice a few of these respecting the radical axis of two circles. 113. The radical axis is perpendicular to the line joining the centres of the two circles. Let the equations to the circles be then the equation to the radical axis is (x—ay—(x—a')*... | |
 | George Hale Puckle - 1868 - 386 pages
...every point in which is equally distant from two given points. The student will find it easy to prove, that the radical axis is perpendicular to the line joining the centres of the two circles, and is consequently the common tangent, when the circles touch. * 138. If there be two... | |
 | George Hale Puckle - Conic sections - 1887 - 404 pages
...every point in which is equally distant from two given points. The student will find it easy to prove, that the radical axis is perpendicular to the line joining the centres of the two circles, and is consequently the common tangent, when the circles touch. * 138. If there be two... | |
 | Thomas Grenfell Vyvyan - Geometry - 1894 - 178 pages
...The locus of a point from which equal tangents can be drawn to two circles is a straight line. § 70 The radical axis is perpendicular to the line joining the centres of the circles. § 71 Coaxal circles. § 73 — 75 Projections. § 77 ANSWERS. . bp 8. 1. ,/13, 13, 41, 5<J, V5b. a-... | |
 | Sidney Luxton Loney - Coordinates - 1896 - 447 pages
...is therefore the equation to the radical axis, and it is clearly a straight line. It is easily seen that the radical axis is perpendicular to the line joining the centres of the circles. For these centres are the points (— g, —f) and (— g19 —fi)- The ~/ — ( •"/) "m" of the... | |
 | Euclid - Euclid's Elements - 1908 - 196 pages
...circles are of equal length is called the radical axis of the two circles. Art. 120. EXAMPLES. 63. If two circles intersect, show that the straight line...of their radii and the difference of their radii. 64. Show that the difference between the squares of the tangents from any point P to two circles is... | |
 | B. S. Vatssa - 2002 - 1512 pages
...of radicul axis = - /• _ / = mt gradient of C,C2 « It is cleat that /иг»), = - 1. Therefore, the radical axis is perpendicular to the line joining the centres of the circles (iv) The radical axes of three circles whose centres are non-collinear, taken in pairs, meet at the... | |
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If they do not intersect, show that the radical axis is perpendicular to the line joining the centres of the circles... 