Plane and solid geometry . s the only plane through P± ^P. 626. Question. In Fig. 2, explain why ^4P __ PS. Q2n. §§ 624 and 625 may be combined in one statement: Through a given point there exists one and only one plane per-pendicnlar to a given line. 628. Cor. I. The locus of all points in spa^e equidis-tant from the extremities of a straight line segment isthe plane perpendicular to tlie segment at its mid-point. 629. Def. A straight line is parallel to a plane if the straightline and the plane cannot meet. 630. Def. A straight line is oblique to a plane if it is neitherperpendicular
Plane and solid geometry . s the only plane through P± ^P. 626. Question. In Fig. 2, explain why ^4P __ PS. Q2n. §§ 624 and 625 may be combined in one statement: Through a given point there exists one and only one plane per-pendicnlar to a given line. 628. Cor. I. The locus of all points in spa^e equidis-tant from the extremities of a straight line segment isthe plane perpendicular to tlie segment at its mid-point. 629. Def. A straight line is parallel to a plane if the straightline and the plane cannot meet. 630. Def. A straight line is oblique to a plane if it is neitherperpendicular nor parallel to the plane. 631. E>ef. Two planes are parallel if they cannot meet BOOK VI 309 Proposition VII. Theorem 632. Two planes perpendicular to the same straightline are parallel. X MR 7 7 N S Given planes MN and RS^ each ± line AB. To prove MN II RS, Hint. Use indirect proof. Compare with § 187. Proposition VIII. Theorem 633. If a plane intersects two parallel planes, the linesof intersection are
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