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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. "
Elements of Geometry and Trigonometry;: With Practical Applications - Page 172
by Benjamin Greenleaf - 1863 - 490 pages
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Elementary Course of Geometry ...

Charles William Hackley - Geometry - 1847 - 248 pages
...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...
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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...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...
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Elements of Geometry and Conic Sections

Elias Loomis - Conic sections - 1857 - 242 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...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...
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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...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...
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Elements of Plane and Spherical Trigonometry: With Practical Applications

Benjamin Greenleaf - Geometry - 1862 - 532 pages
...(Art. 391) ; hence, since that angle is a right angle, the two planes are perpendicular to each other. 411. Cor. When three straight lines, as AB, CD, EF,...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, MN are perpendicular,...
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Elements of Plane and Spherical Trigonometry: With Practical Applications

Benjamin Greenleaf - Geometry - 1861 - 638 pages
...(Art. 391) ; hence, since that angle is a right angle, the two planes are perpendicular to each other. 411. Cor. When three straight lines, as AB, CD, EF,...CD; then will AB be perpendicular to the plane M N. BOOK VII. For, in the plane MN, draw EP, through the point B, perpendicular to CD ; then, since the...
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Elements of Geometry and Trigonometry: With Practical Applications

Benjamin Greenleaf - Geometry - 1862 - 518 pages
...(Art. 391) ; hence, since that angle is a right angle, the two planes are perpendicular to each other. 411. Cor. When three straight lines, as AB, CD, EF,...; then 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...
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Elements of Geometry: With Practical Applications to Mensuration

Benjamin Greenleaf - Geometry - 1863 - 504 pages
...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....; then 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...
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Elements of Geometry: With Practical Applications to Mensuration

Benjamin Greenleaf - Geometry - 1866 - 328 pages
...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...plane M N. For, in the plane MN, draw EF, through tho point B, perpendicular to CD ; then, since the planes AC, MN are perpendicular, the angle ABE is...
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Elements of Plane and Solid Geometry: And of Plane and Spherical ...

Gerardus Beekman Docharty - Geometry - 1867 - 474 pages
...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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