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" If two planes are perpendicular to each other, a line drawn in one of them perpendicular to their intersection is perpendicular to the other. "
Solid Geometry - Page 267
by Wooster Woodruff Beman, David Eugene Smith - 1900 - 139 pages
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New Plane and Solid Geometry

Wooster Woodruff Beman, David Eugene Smith - Geometry - 1899 - 412 pages
...? 2. But '.' Z XOY fixes the measure of the dihedral Z, §359 .'. ZY±MN. Def. , \ PROPOSITION XIX. 362. Theorem. If two planes are perpendicular to each...their intersection, is perpendicular to the other. \ Y^ M Given the planes ZY.LMN, OZ their intersection, and OX, in MN, -l. OZ. To prove that OX±ZY....
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The Essentials of Geometry

Webster Wells - Geometry - 1899 - 450 pages
...25.) PROP. XXI. THEOREM. 438. If two planes 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 PQ _L QR. To Prove AB JL MN....
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Solid Geometry, Volumes 6-9

George Albert Wentworth - Geometry, Solid - 1899 - 248 pages
...PROPOSITION XVIII. THEOREM. 551. If two planes are perpendicular to each other, a straight line drawn 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 PQ perpendicular to AB, the...
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The Essentials of Geometry

Webster Wells - Geometry - 1899 - 180 pages
...25.) PKOP. XXI. THEOREM. 438. If two planes are perpendicular to each other, a straight line drawn 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 in plane PQ, _L QR. To Prove AB...
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Plane and Solid Geometry

George Albert Wentworth - Geometry - 1899 - 496 pages
...PROPOSITION XVIII. THEOREM. 551. If two planes are perpendicular to each other, a straight line drawn 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 PQ perpendicular to AB, the...
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Syllabus of Propositions in Geometry: Intended for Use in Preparing Students ...

Harvard University - Geometry - 1899 - 39 pages
...perpendicular to the plane. THEOREM XIII. If two planes are perpendicular to each other, a straight line 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...
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New Plane and Solid Geometry

Wooster Woodruff Beman, David Eugene Smith - Geometry - 1900 - 400 pages
...Why ? 2. But '.' Z A'OF fixes the measure of the dihedral Z, §359 .-.ZYA.MN. Def. PROPOSITION XIX. 362. Theorem. If two planes are perpendicular to each...is perpendicular to the other. M Given the planes ZYA-MN, OZ their intersection, and OX, in MN, -L OZ. To prove that OX±ZY. Proof. 1. Let OF, in ZY,...
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Solid Geometry

Wooster Woodruff Beman, David Eugene Smith - 1903 - 158 pages
...Why ? 2. But '.' Z -l'0y fixes the measure of the dihedral Z, §359 .-. ZY±MN. Def. PROPOSITION XIX. 362. Theorem. If two planes are perpendicular to each...their intersection, is perpendicular to the other. Given the planes ZY±MN, OZ their intersection, and OX, in MN, J- OZ. To prove that OX±ZY. Proof....
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New Plane and Solid Geometry

Wooster Woodruff Beman, David Eugene Smith - Geometry - 1900 - 395 pages
...Y are right A. Why ? 2. But v Z .ZOF fixes the measure of the dihedral /., § 359 PROPOSITION XIX. 362. Theorem. If two planes are perpendicular to each other, any line in one of thevn, perpendicular to their intersection, is perpendicular to the other. M Given the planes ZYA-MN,...
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Elementary Geometry, Plane and Solid: For Use in High Schools and Academies

Thomas Franklin Holgate - Geometry - 1901 - 462 pages
...of a dihedral angle is per(3) If two planes are perpendicular to each other, a straight line drawn in one of them, perpendicular to their intersection, is perpendicular to the other. § 439. (4) If two planes are perpendicular to each other, a straight line drawn from any point of...
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