| Adrien Marie Legendre - Geometry - 1828 - 346 pages
...the plane of the other two, and the three planes are perpendicular to each other. THEOREM. 353. If two planes are perpendicular to each other, a line drawn in one of them perpendicular to their common intersection, will be perpendicular to the other plane. • Let the plane AB (see the last fig.)... | |
| Adrien Marie Legendre - Geometry - 1836 - 394 pages
...the other two, and the three planes are perpendicular to each other. PROPOSITION XVII. THEOREM. If two planes are perpendicular to each other, a line drawn in one of them perpendicular to their common intersection, will be perpendicular to the other plane, N^l T1 B\ E Let the plane AB be perpendicular... | |
| Nathan Scholfield - 1845 - 894 pages
...planes are l>erpendicular to each other. PROPOSITION XVIII. THEOREM. If two planes are perpendicular lo each other, a line drawn in one of them perpendicular to their common intersection, will be perpendicular to the other plane. Let the plane AB (see diagram to Prop.... | |
| Charles Davies - Trigonometry - 1849 - 372 pages
...the othei two, and the three planes are perpendicular to each other. PROPOSITION XVII. THEOREM. If two planes are perpendicular to each other, a line drawn in one of them perpendicular to their common intersection, will be perpendicular to the other plane. Let the plane AB be perpendicular to... | |
| Adrien Marie Legendre - Geometry - 1852 - 436 pages
...-two, and the three planes are perpendicular to each other. PROPOSITION XVII. THEOEEM. Conversely: If two planes are perpendicular to each other, a line drawn in one of them .perpendicular to their common intersection, will be perpendicular to the other plane. Let the plane BA be perpendicular to... | |
| Charles Davies - Geometry - 1854 - 436 pages
...the other two, and the three planes are perpendicular to each other. PROPOSITION XVII, THEOREM. If two planes are perpendicular to each other, a line drawn in one of them perpendicular to their common intersection, will be perpendicular to the other plane. Let the plane BA be perpendicular to... | |
| Adrien Marie Legendre - Geometry - 1863 - 464 pages
...other two, and the three planes will be perpendicular to each other. PROPOSITION XVII. THEOREM. If two planes are perpendicular to each other, a line...one of them, perpendicular to their intersection, wiM be perpendicular to the other. Let the planes BF and MN be perpendicular to each other, and let... | |
| Edward Brooks - Geometry - 1868 - 284 pages
...perpendicular to a plane, every plane passed through the line is perpendicular to that plane. 3. If two planes are perpendicular to each other, a line...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
...7 and 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 - Mathematics - 1872 - 382 pages
...other. 7 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,... | |
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