Let PAB, PCD be two circles touching at P; and letE, F be their centres. Then EF, lyroduced if necessary, passes through P. Since the circles touch at P, they have at P a com-mon tangent. (Page 182.) Also the radii PE, PF are both _Lr to this commontangent at P; (IV., 10.) .. E, P, F are in the… … (i) If the given point be within the given circle, sincea line through a point within a circle cuts the circum-ference in two points necessarily at a finite distance fromone another, no tangent to the circle from the givenpoint can be drawn, (ii) If the given point be on the circumference,…
Geometry · Geometry, Plane
Internet Archive · Western University Libraries · Public Domain Mark 1.0. Free to use for anything.
