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
| 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.... | |
| 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.... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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,... | |
| 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.... | |
| 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,... | |
| 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... | |
| |