120 Circles; their basic properties Ch. 7
7.10 For 0<a<b, suppose thatA≡( 0 ,a),B≡( 0 ,b). Show that the circlesC(A;a)
andC(B;b)both have the axisOIas a tangent at the pointO,andthatA∈
[O,B]. Verify that every point ofC(A;a), other thanO, is an interior point for
C(B;b). [Hint. Consider the equations ofC(A;a)andC(B;b).]7.11 Use Ex.6.3 to establish the equation of the mid-linelin 7.3.1 whenP 1 andP 2
are not diametrically opposite.