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" If two planes are perpendicular to 'each other, a straight line drawn in one of them, perpendicular to their intersection, will be perpendicular to the other. "
Elements of Geometry and Trigonometry: From the Works of A.M. Legendre - Page 172
by Adrien Marie Legendre - 1874 - 455 pages
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The Essentials of Geometry

Webster Wells - Geometry - 1899 - 180 pages
...drawn perpendicular to the given plane, and but one. (Prove as in § 25.) PKOP. XXI. THEOREM. 438. If two planes are perpendicular to each other, a straight...in one of them perpendicular to their intersection is perpendicular to the other. Q jv Given planes PQ and MN _L, intersecting in line QR, and line AB...
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The Essentials of Geometry

Webster Wells - Geometry - 1899 - 450 pages
...drawn perpendicular to the given plane, and but one. (Prove as in § 25.) PROP. XXI. THEOREM. 438. If two planes are perpendicular to each other, a straight...in one of them perpendicular to their intersection is perpendicular to the other. Given planes PQ and MN _L, intersecting in line QR, and line AB in plane...
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Solid Geometry, Volumes 6-9

George Albert Wentworth - Geometry, Solid - 1899 - 246 pages
...A'-B'C'-D' _ Z A'B'D' °1S' A-BC-D == £ABD ' OED BOOK VI. SOLID GEOMETRY. PROPOSITION XVIII. THEOREM. 551. If two planes are perpendicular to each other, a straight...in one of them perpendicular to their intersection is perpendicular to the other plane. Let the plane PQ be perpendicular to MN, and let CD be drawn in...
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Plane and Solid Geometry

George Albert Wentworth - Geometry - 1899 - 500 pages
...are equal. § 284 A'-B'C'-D ' Z A'B'D' " I! " l1s4 A-BC-D ~ Z.ABD PROPOSITION XVIII. THEOREM. 551. If two planes are perpendicular to each other, a straight...in one of them perpendicular to their intersection is perpendicular to the other plane. Let the plane PQ be perpendicular to MN, and let CD be drawn in...
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The Essentials of Geometry

Webster Wells - Geometry - 1899 - 424 pages
...perpendicular to the given plane, and but one. JS (Prove as in § 25.) PROP. XXI. THEOREM. 438. If two planets are perpendicular to each other, a straight line drawn...in one of them perpendicular to their intersection is perpendicular to the other. Given planes PQ and MN _L, intersecting in line QR, and line AB in plane...
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Syllabus of Propositions in Geometry: Intended for Use in Preparing Students ...

Harvard University - Geometry - 1899 - 39 pages
...drawn in one of them, perpendicular to their intersection, is perpendicular to the other. Corollary I. If two planes are perpendicular to each other, a straight line drawn through any point of their intersection perpendicular to one of the planes will lie in the other. Corollary...
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Plane and Solid Geometry

Arthur Schultze, Frank Louis Sevenoak - Geometry - 1901 - 394 pages
...is _L to plane MN. To prove that plane EC containing AB is _L to MN. PROPOSITION XVIII. THEOREM 503. If two planes are perpendicular to each other, a straight...one of them, perpendicular to their intersection, is perpendicular to the other. Hyp. Plane CE is _L to plane MN, and in CE line BA is J_ to CD, the...
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Plane and Solid Geometry

Arthur Schultze, Frank Louis Sevenoak - Geometry - 1902 - 394 pages
...these, at any point of their intersection, lies in the other. [Prove by indirect method.] 505. COR. 2. If two planes are perpendicular to each other, a straight line drawn from any point of one, perpendicular to the other, lies in the first. [Prove by indirect method.] Ex....
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Plane and Solid Geometry

Arthur Schultze, Frank Louis Sevenoak - Geometry - 1901 - 396 pages
...these, at any point of their intersection, lies in the other. [Prove by indirect method.] 505. COR. 2. If two planes are perpendicular to each other, a straight line drawn, from any point of one, perpendicular to the other, lies in the first. [Prove by indirect method.] Ex....
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Plane and Solid Geometry

Arthur Schultze, Frank Louis Sevenoak - Geometry - 1901 - 394 pages
...these, at any point of their intersection, lies in the other. [Prove by indirect method.] 505. COR. 2. If two planes are perpendicular to each other, a straight line drawn from any point of one, perpendicular to the other, lies in the first. [Prove by indirect method.] Ex....
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