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Geometry for schools : theoretical (1904)

Baker, Alfred, 1848-1942 · Toronto : W.J. Gage · leaf 252

An illustration from Geometry for schools : theoretical, 1904, leaf 252
2U5, attention was called tothe fact that if two cii-cles intersect, the tangents tothe circles from any point on the chord are equal; also,conversely, that the locus of the point from whichtangents are equal is the common chord. This locuswas named the Radical Axis, and it was stated thatwhen the… … Draw ED, the common tangent to the two circles.Bisect it in P. Then P is a point on the locus. DrawPN ±r to AB, and from any point Q in the fixed linePN, draw tangents QG, QH to the circles. These tan-gents are equal. For Additional Peopositions. 249 QG2=QA2-AG% =AN2+QN2-AES=AP^-PN2+QN2-AE2,= AE2 +…

Geometry · Geometry, Plane

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