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" If two planes are perpendicular to 'each other, a straight line drawn in one of them, perpendicular to their intersection, will be perpendicular to the other. "
Elements of Geometry and Trigonometry: From the Works of A.M. Legendre - Page 172
by Adrien Marie Legendre - 1874 - 455 pages
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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 - 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...
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Elements of Geometry and Conic Sections

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...
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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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Elements of Geometry and Trigonometry

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...
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Elements of Geometry, Conic Sections, and Plane Trigonometry

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...
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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...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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