An elementary treatise on analytical geometry : embracing plane co-ordinate geometry, and an introduction to geometry of three dimensions (1869)
Johnson, William Woolsey, 1841-1927 · Philadelphia : J.B. Lippincott · leaf 102
aginarypoints. This line, whether cutting the circles or not, is called the radicalaxis of the two circles. 132. The intersections of two circles are thus determined by theintersection of a certain straight line with one of them. Therefore,in accordance with the language adopted in Art. 117, two… … 98 THE CIRCLE. tion of the radical axis reduces to the impossible form, a constant— 0. Thus, given the equations x2 -J- y2 — 2x -j- y -j- 1 = 0, andx% -\-y2 — 2x -\- y — 5 = 0; subtracting one from the other, wehave the impossible result 6 = 0. This, of course, indicates thatthe circles do not…
Geometry, Analytic
Internet Archive · Library of Congress · Public Domain Mark 1.0. Free to use for anything.
