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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 and Solid Geometry - Page 274
by George Albert Wentworth - 1899 - 473 pages
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Elements of Geometry: Including Plane, Solid, and Spherical Geometry

George Washington Hull - Geometry - 1807 - 408 pages
...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...
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Elements of Geometry and Conic Sections

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...
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Elements of Geometry and Conic Sections

Elias Loomis - Conic sections - 1858 - 256 pages
...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...
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Elements of Plane and Spherical Trigonometry: With Practical Applications

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...
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Elements of Geometry and Trigonometry: With Practical Applications

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...
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Elements of Geometry: With Practical Applications to Mensuration

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...
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Elements of Geometry: With Practical Applications to Mensuration

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,...
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The Normal Elementary Geometry: Embracing a Brief Treatise on Mensuration ...

Edward Brooks - Geometry - 1868 - 284 pages
...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...
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A Treatise on Elementary Geometry: With Appendices Containing a Collection ...

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...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...
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Elements of Geometry and Trigonometry

Adrien Marie Legendre - Geometry - 1871 - 490 pages
...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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