 | Charles William Hackley - 1847 - 248 σελίδες
...PROP. xix. If two planes be perpendicular to each other, a straight line drawn in one of the planes perpendicular to their common section will be perpendicular to the other plane. Let the plane VO be perpendicular to the plane XZ, and let OW be their common section. In the plane VO... | |
 | Elias Loomis - 1849 - 252 σελίδες
...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...section, will be perpendicular to the other plane. For in the plane MN, draw CD through the point B perpendicular to EF. Then, because the planes AE and... | |
 | Elias Loomis - 1857 - 242 σελίδες
...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, a straight...section, will be perpendicular to the other plane. Let the plane AE be perpendicular to the plane MN, and let the line AB be drawn in the plane AE perpendicular... | |
 | Elias Loomis - 1858 - 256 σελίδες
...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, a straight...section, will be perpendicular to the other plane. Let the plane AE be perpendicular to the plane MN, and let the line AB be drawn in the plane AE perpendicular... | |
 | Benjamin Greenleaf - 1862 - 518 σελίδες
...since CE is perpendicular at the same time to the two straight lines AD and BD (Prop. IV.). ELEMENTS OF GEOMETRY. PROPOSITION VII. — THEOREM. 410. If a...will AB be perpendicular to the plane M N. BOOK VII. D For, in the plane MN, draw EF, through the point B, perpendicular to CD ; then, since the planes... | |
 | Benjamin Greenleaf - 1862 - 532 σελίδες
...BD (Prop. IV.). PROPOSITION VII. — THEOREM. 410. If a straight line is perpendicular to a plant, every plane which passes through that line is also...; then will AB be perpendicular to the plane M N. For, in the plane SIN, draw EF, through the point B, perpendicular to CD ; then, since the planes AC,... | |
 | Benjamin Greenleaf - 1861 - 638 σελίδες
...perpendicular to the plane MN ; then will any plane, AC, passing through AB, be perpendicular to MN. For, lot CD be the intersection of the planes AC, MN; in the...the plane M N. BOOK VII. For, in the plane MN, draw EP, through the point B, perpendicular to CD ; then, since the planes AC, MN are perpendicular, the... | |
 | Benjamin Greenleaf - 1863 - 504 σελίδες
...perpendicular to each other, each of those lines is perpendicular to the plane of the other two, aud the three planes are perpendicular to each other....will AB be perpendicular to the plane M N. BOOK VII. D For, in the plane MN, draw EF, through the point B, perpendicular to CD ; then, since the planes... | |
 | Benjamin Greenleaf - 1866 - 328 σελίδες
...straight lines, as AB, CD, EF, are perpendicular to each other, each of those lines is per-* pendicular to the plane of the other two, and the three planes...; then will AB be perpendicular to the plane M N. For, in the plane MN, draw EF, through tho point B, perpendicular to CD ; then, since the planes AC,... | |
 | Gerardus Beekman Docharty - 1867 - 474 σελίδες
...PROPOSITION XVI. If tieo planes be perpendicular to each other, a straight line drawn in one of the planes perpendicular to their common section will be perpendicular to the other plane. * Let the plane VO be perpendicular to the plane XZ, and let OW be their common section. In the plane VO... | |
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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. 
