 COR. 1. If two planes are perpendicular to each other, a perpendicular to one of them at any point of their intersection will lie in the other plane.  Solid Geometry - Page 343by Fletcher Durell - 1904 - 206 pagesFull view - About this book
 | Webster Wells - Geometry - 1886 - 392 pages
...therefore perpendicular to their plane -SOT (§434). 469. COROLLARY I. If two planes are perpendicular, a perpendicular to one of them at any point of their intersection lies in the other. Let the plane PQ be perpendicular to MN, and draw AB perpendicular to the plane... | |
 | Arthur Latham Baker - Geometry, Solid - 1893 - 150 pages
...already, § 64, been shown to be one J_ to N, and p lies in M. Hence, if two planes, etc. QED 66. COR. 2. If two planes are perpendicular to each other, a perpendicular to one of them from any point of the other will lie in the other. By § 17, only one J_ can be drawn to a plane from... | |
 | Charles Ambrose Van Velzer, George Clinton Shutts - Geometry - 1894 - 522 pages
...is J_ to MN by the proposition. Suo. 2. How many _!_s can be erected to MN at 2?? 379. COTKHAARY II. If two planes are perpendicular to each other, a perpendicular to one of them from any point in the other lies in the other. . See S«f . 1 of Cor. I, and Art MS. PROPOSITION XXVI.... | |
 | George Albert Wentworth - Mathematics - 1896 - 68 pages
...perpendicular to one of them at any point of their intersection will lie in the other. 517. Cor. 2. If two planes are perpendicular to each other, a perpendicular to one of them from any point of the other will lie in the other. 518. If a straight line is perpendicular to a plane,... | |
 | Joseph Johnston Hardy - Geometry, Analytic - 1897 - 398 pages
...respectively parallel and lying in the same direction, they are equal, and their planes are parallel. 42. If two planes are perpendicular to each other, a perpendicular...point of their intersection will lie in the other. 43. If a straight line is perpendicular to a plane, every plane passed through the line is perpendicular... | |
 | George Washington Hull - Geometry - 1897 - 408 pages
...being perpendicular to BQ and BC at -B, is perpendicular to the plane MN. § 380. QED 413. COR. 1.—If two planes are perpendicular to each other, a perpendicular to one of the planes from any point of their intersection will lie in the other plane. Given—The plane PQ perpendicular... | |
 | George Albert Wentworth - Geometry - 1899 - 500 pages
...to DA and DE at their point of intersection, and consequently _L to their plane MN. § 507 QED 552. COR. 1. If two planes are perpendicular to each other,...their intersection will lie in the other plane. For a line CD drawn in the plane PAB _L to AB at the point D will be _L to MN(§ 551). But at the point... | |
 | George Albert Wentworth - Geometry, Solid - 1899 - 248 pages
...and DE at their point of intersection, and consequently _L to their plane MN. § 507 QED 552. COK. 1. If two planes are perpendicular to each other,...at any point of their intersection will lie in the oil,er plane. For a line CD drawn in the plane PAB _L to AB at the point D will be _L to MN(§ 551).... | |
 | Webster Wells - Geometry - 1899 - 424 pages
...Whence, Z ABC is a rt. Z. (§ 24) Then .45, being J- to 5C and 5Q at B, is _L MF. (§ 400) 439. Cor. I. If two planes are perpendicular to each other, a perpendicular...to one of them at any point of their intersection lies in the other. Given planes PQ and MN _L, intersecting in line QR, and line AB drawn from any point... | |
 | William James Milne - Geometry - 1899 - 404 pages
...their point of intersection; and, § 442, GH is perpendicular to MN. Therefore, etc. QED 481. Cor. If two planes are perpendicular to each other, a perpendicular...to one of them at any point of their intersection lies in the other. Ex. 753. Find the locus of all points equidistant from two parallel planes. Ex.... | |
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