sition may be otherwise expressed as fol-lows,—If a chord of a circle pass through afixed point, the rectangle contained by thesegments of the chord is constant, and is equalto the square on half the chord bisected by thepoint, if the point be within the circle, and tothe square on the tangent from… … Let a circle be described passing through A, B andC, and suppose OC to cut this circle again in D.Then 0C2=0A.0B, (Hyp.) = OC . OD ; (IV., 20.). OC = OD;that is, the two points C and D are coincident.OC therefore can meet the circle only in coincidentpoints, and is a tangent. BOOK IV. Intersecting…
Geometry · Geometry, Plane
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