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 267by Wooster Woodruff Beman, David Eugene Smith - 1900 - 139 pagesFull view - About this book
| Edward Brooks - Geometry - 1868 - 284 pages
...line is perpendicular to that plane. 3. If two planes are perpendicular to each other, a line drawn in one of them perpendicular to their intersection is perpendicular to the other. 4. If two planes which cut each other are both perpendicular to a third plane, their intersection is... | |
| William Chauvenet - Geometry - 1871 - 380 pages
...PROPOSITION XVIII.— THEOREM. 49. 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. Let the planes PQ and MN be perpendicular to each other ; at any point B of their intersection BQ,... | |
| William Chauvenet - Geometry - 1872 - 382 pages
...PROPOSITION XVIII— THEOREM. 49. 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. Let the planes PQ and MN be perpendicular to each other; and at any point B of their intersection BQ,... | |
| 1876 - 646 pages
...decagon in a given circle. 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. 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
...PROPOSITION XVII. THEOREM. 473. If two planes be perpendicular to each other, a straight line drawn in one of them perpendicular to their intersection is perpendicular to the other plane. / the planes MN and PQ be perpendicular to each other, and at any point B of their intersection... | |
| William Frothingham Bradbury - Geometry - 1877 - 262 pages
...angles is a right diedral angle, and the planes are perpendicular to each other. THEOREM XIII. 36. If two planes are perpendicular to each other, any line in one, perpendicular to the common intersection of the planes, is perpendicular to the other plane. Let the... | |
| William Henry Harrison Phillips - Geometry - 1878 - 236 pages
...(6), 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... | |
| William Frothingham Bradbury - Geometry - 1880 - 260 pages
...angles is a right diedral angle, and the planes are perpendicular to each other. THEOREM XIII. 36. If two planes are perpendicular to each other, any line in one, perpendicular to the common intersection of the planes, is perpendicular to the other plane. Let the... | |
| Evan Wilhelm Evans - Geometry - 1884 - 170 pages
...any plane passed through PC. THEOREM VIII. If two planes are perpendicular to each other, a straight line in one of them, perpendicular to their intersection, is perpendicular to the other. The planes HS and MN are perpendicular to each other. AB is a straight line in HS perpendicular to... | |
| Webster Wells - Geometry - 1886 - 392 pages
...PROPOSITION XIV. THEOREM. 468. If tivo planes are perpendicular to each other, a straight line draicn in one of them perpendicular to their intersection is perpendicular to the other. Let the plane PQ be perpendicular to MN. Let QR be their intersection, and draw AB in the plane PQ... | |
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