II. Circles are said to touch each other, which, meeting, do not cut Right lines in a circle are said to be equally distant from the VII. from some point in the circumference to the ends of that olish is the base of the segment, which lines contain the angle, - VIII. But, ^^^) But, when the right lines containing the angle do receive any & I. b def. 15. 1. c A.K. 9. I. part of the circumference, then the angle is said to stand upon A seótor of a circle is that figure which is contained by two Similar segments of circles are those which include equal angles or whereof the angles in them are equal. fible"; therefore, no point but F can be the centre. Where fore, &c. -- - line into two equal parts, the centre of the circle will be in that line which cuts the other into two equal parts. If any two points be assumed in the circumference of a circle, the right line joining these points will fall within the circle. Let the circle be ABC, A and B the points in its circumference, the right line AB, joining these points, will fall within the circle. Find D the centre of the circle"; join DA, DB, and draw DF, cutting the right line AB in the point E.; then the right lines DA, DB, DF, are equal". But DF is greater than DE°; therefore, DA, DB, are likewise greater than DE; but lyP, DA, reach the circumference; therefore DE does not reach |