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New plane and solid geometry (1899)

Beman, Wooster Woodruff, 1850-1922, Smith, David Eugene, 1860-1944 · Boston, Ginn & company · leaf 100

An illustration from New plane and solid geometry, 1899, leaf 100
qually distantfrom X and A. .-. YY is the locus. § 125, def. Exercises. 171. Required to find a point which is 1 in. from X and| in. from X in the above figure. Is there more than one such point ? 172. Required to find a point which is equidistant from X and X inthe above figure, and 1 in. from 0.… … Given OA and OB, two lines intersecting at 0, and XX and YY the bisectors of the angles at 0. To prove that XX and YY form the locus of points equidis-tant from OA and OB. Proof. 1. Let Q be any point on neither XX nor YY; letQB _L OB, QA _L OA, QA cut OX in P, PA _L 0#.Draw QA. Since $ may be…

Geometry

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