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Plane and solid geometry (1908)

Gore, James Howard, 1856-1939 · New York, Longmans, Green, and co. · leaf 66

An illustration from Plane and solid geometry, 1908, leaf 66
51. COR. A perpendicular to a tangent at its point of contactpasses through the centre of the circle. § 152.J THE CIRCLE. 53 EXERCISES. 1. Show conversely, a tangent to the circumference is perpendicularto the radius drawn to the point of contact. 2. Prove that the tangents to a circle at the… … Let; (J and O be the centres of two circumferences whichintersect each other at A and B, and let the line CC intersecttheir common chord at 0. To prove that CC is a perpendicular bisector of AB. Since A and B are points on both circles, they are equallydistant from C and also from C (by 127), the…

Geometry

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