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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 - Pàgina 172
per Adrien Marie Legendre - 1874 - 455 pàgines
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Elements of Geometry and Conic Sections

Elias Loomis - 1849 - 252 pàgines
...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 - 1857 - 242 pàgines
...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 - 1858 - 256 pàgines
...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 - 1862 - 532 pàgines
...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 - 1862 - 518 pàgines
...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 - 1863 - 504 pàgines
...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 - 1868 - 340 pàgines
...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 - 1871 - 490 pàgines
...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 - 1871 - 302 pàgines
...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 - 1871 - 380 pàgines
...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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