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New plane and solid geometry (1899)

Beman, Wooster Woodruff, 1850-1922, Smith, David Eugene, 1860-1944 · Boston, Ginn & company · leaf 287

An illustration from New plane and solid geometry, 1899, leaf 287
A. § 359 6. ..AXDP = APDY. And v A X= A Y= rt. Z, and DP = DP, 7. ..A DXP ^ADYP, and PX = PY. § 88, cor. 7 Corollary. TAe focz^s of points that are equidistant fromtwo intersecting planes is the pair of planes bisecting theirdihedral angles. 270 SOLID GEOMETRY. [Bk. VI. Proposition XXII. 365.… … Given the planes M, Q, intersecting in i; lines PX _L M,PY J_ Q-, and plane PYX cutting i at A. To prove that Z YPX is equal or supplemental to the dihe-dral angle MQ. Proof. 1. Plane YXP _L M, also _L Q. Prop. XVIII 2. .-. plane YXP _L i. Prop. XX 3. .. XA and YA J_ i. § 339 4. .-. Z XA Y measures…

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