 | George Washington Hull - 1807 - 408 σελίδες
...other parallel planes, the four lines of intersection are parallel. PROPOSITION XXI. THEOREM. 412. If two planes are perpendicular to each other, a straight...their intersection, is perpendicular to the other. Given — The plane PQ perpendicular to MN, and AB perpendicular to their intersection BQ. To Prove... | |
 | 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 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 - 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 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 - 1862 - 518 σελίδες
...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 - 1862 - 532 σελίδες
...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 - 1863 - 504 σελίδες
...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 - 1868 - 340 σελίδες
...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,... | |
 | Edward Brooks - 1868 - 284 σελίδες
...through the line is perpendicular to that plane. 3. If two planes are perpendicular to each other, a line drawn in one of them perpendicular to 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 - 1871 - 380 σελίδες
...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...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... | |
 | Adrien Marie Legendre - 1871 - 490 σελίδες
...the other two, and the three planes will be perpendicular to each other. PROPOSITION XVII. THEOREM. If two planes are perpendicular to 'each other, a...one of them, perpendicular to their intersection, will be perpendicular to the other. Let the planes BF and MN be perpendicular to each other, and let... | |
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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. 
