 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.  Plane and Solid Geometry - Page 276by George Albert Wentworth - 1904 - 473 pagesFull view - About this book
 | Elias Loomis - Geometry - 1871 - 302 pages
...plane of the other two, and the three planes are perpendicular to each other. PROPOSITION VII THEOREM. If two planes are perpendicular to each other, a straight line drawn in one of them perpendicular to their common section, will be perpendicular to the other plane. BOOK VII. For in the plane MN, draw CD Inrough... | |
 | William Chauvenet - Mathematics - 1872 - 382 pages
...other two, and the three planes are perpendicular to each other. 7 PROPOSITION XVIII.— THEOREM. 49. If two planes are perpendicular to each other, a straight...their intersection, is perpendicular to the other. Let the planes PQ and MN be perpendicular to each other; and at any point B of their intersection BQ,... | |
 | Adrien Marie Legendre - Geometry - 1874 - 500 pages
...the other two, and the three planes will be perpendicular to each other. PROPOSITION XVII. THEOREM. If two planes are perpendicular to each other, a straight...one of them, perpendicular to their intersection, will be perpendicular to the other. Let the planes BF and MN be perpendicular to each other, and let... | |
 | 1876 - 646 pages
...construct a triangle equivalent to a given polygon. 2. To inscribe a regular decagon in a given circle. 3. If two planes are perpendicular to each other, a straight...their intersection is perpendicular to the other. 4. Define a polyhedron and a prism. The sections of a prism made by parallel planes are equal polygons.... | |
 | George Albert Wentworth - Geometry - 1877 - 416 pages
...is a right dihedral, , J. to MN. QED SOLID ANGLES. PROPOSITION XVII. THEOREM. 473. If two planes be perpendicular to each other, a straight line drawn...intersection is perpendicular to the other plane. M A IB — - C the planes MN and PQ be perpendicular to each other, and at any point B of their intersection... | |
 | William Chauvenet - Geometry - 1877 - 396 pages
...other two, and the three planes are perpendicular to each other. 7 PROPOSITION XVIII.— THEOREM. 49. If two planes are perpendicular to each other, a straight...one of them, perpendicular to their intersection, is perpendicur lor to the other. Let the planes PQ and MN be perpendicular to each other j and at any... | |
 | George Albert Wentworth - Geometry - 1877 - 416 pages
...the Z PD QN is a right dihedral, QED SOLID ANGLES. PROPOSITION XVII. THEOREM. 473. If two planes be perpendicular to each other, a straight line drawn...one of them perpendicular to their intersection is perpen dicular to the other plane. M Q / /в" С z the planes MN and PQ be perpendicular to each other,... | |
 | William Henry Harrison Phillips - Geometry - 1878 - 236 pages
...is perpendicular to that plane. XV. Theorem. If two planes are perpendicular to each other, a line in one of them perpendicular to their intersection is perpendicular to the other. HYPOTH. ACD_LMN, and AB_L CD, their intersection. To BE PROVED. AB _L MN. BOOK V.] PLANES WHICH CUT... | |
 | George Albert Wentworth - Geometry - 1882 - 442 pages
...j,toMJy. QED SOLID ANGLES. 271 PROPOSITION XVII. THEOREM. 473. If two planes be perpendieular to cach other, a straight line drawn in one of them perpendicular...intersection is perpendicular to the other plane. M ß~ -c l the planes MN and PQ be perpendicular to each other, and at any point B of their intersection... | |
 | George Albert Wentworth - Geometry - 1884 - 422 pages
...right dihedral, .\PQia±ieoMN. QED SOLID ANGI.ES. PROPOSITION XVII. THEOREM. 473. If two planes be perpendicular to each other, a straight line drawn in one of them perpendicular tu their intersection is perpendicular to the other plane. M с í<et the planes MN and PQ be perpendicular... | |
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