| Elias Loomis - Conic sections - 1849 - 252 pages
...of the other two, and the three planes are perpendicular to each other. PROPOSITION VII. TIIEOEEM. **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. For in the plane MN, draw CD through the... | |
| Elias Loomis - Conic sections - 1857 - 242 pages
...to the 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,...straight line drawn in one of them perpendicular to their** common section, will be perpendicular to the other plane. Let the plane AE be perpendicular to the... | |
| Elias Loomis - Conic sections - 1858 - 256 pages
...to the 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,...straight line drawn in one of them perpendicular to their** common section, will be perpendicular to the other plane. Let the plane AE be perpendicular to the... | |
| Benjamin Greenleaf - Geometry - 1862 - 532 pages
...other two, and the three planes are perpendicular to each other. PROPOSITION VIII. — THEOREM. 412. **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. Let AC, MN be two planes perpendicular to... | |
| Benjamin Greenleaf - Geometry - 1862 - 518 pages
...other two, and the three planes are perpendicular to each other. PROPOSITION VIII . — THEOREM . 412. **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. Let AC, MN be two planes perpendicular to... | |
| Benjamin Greenleaf - Geometry - 1863 - 504 pages
...other two, aud the three planes are perpendicular to each other. PROPOSITION VIII. — THEOREM. 412. **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. Let AC, MN be two planes perpendicular to... | |
| Benjamin Greenleaf - Geometry - 1868 - 340 pages
...two, and the three planes are perpendicular to each other. PROPOSITION VIII. — THEOREM. • 412. **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 EF,... | |
| Adrien Marie Legendre - Geometry - 1871 - 490 pages
...plane passed through the line will also be perpendicular to that plane. Let AP be perpendicular to **the plane MN, and let BF be a plane passed through...each other, and let the line AP, drawn in the plane** BF, he perpendicular to the intersection BC ; then will AP be perpendicular to the plane MN. For, in... | |
| Elias Loomis - Geometry - 1871 - 302 pages
...to the 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,...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 - Geometry - 1871 - 380 pages
...other two, and the three planes are perpendicular to each other. / PROPOSITION XVIII.— THEOREM. 49. **If two planes are perpendicular to each other, a straight...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... | |
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