Exercises on Euclid and in modern geometry for the use of schools, private students, and junior university students (1881)
McDowell, James L · Cambridge, Deighton, Bell, and Co. · leaf 115
Fig. i. OC (produced, if necessary) meet the circle in A. Draw OBparallel to OA, and join AB, OC. Then AB is a tangent to bothcircles. For AC and OB are clearly equal and they are parallel … Fig. 2. 126.] AND IN MODERN GEOMETRY. 8 (constr.), and the angle 0C0 in a semicircle is a right angle(III. 31), therefore (I. 33, 34) ABOC is a rectangle. Therefore AB is a tangent to both circles (III. 16). Cor. Let AB and 00 (both produced, if necessary) meet in B. Because the triangles OAD and…
Geometry
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