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" If two planes are perpendicular to each other, a line drawn in one of them perpendicular to their intersection is perpendicular to the other. "
Solid Geometry - Page 343
by Herbert Edwin Hawkes, William Arthur Luby, Frank Charles Touton - 1922 - 192 pages
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Elements of Geometry and Trigonometry: With Notes

Adrien Marie Legendre - Geometry - 1828 - 346 pages
...to the plane of the other two, and the three planes are perpendicular to each other. THEOREM. 353. If two planes are perpendicular to each other, a line drawn in one of them perpendicular to their common intersection, will be perpendicular to the other plane. • Let...
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Elements of Geometry and Trigonometry

Adrien Marie Legendre - Geometry - 1836 - 394 pages
...of the other two, and the three planes are perpendicular to each other. PROPOSITION XVII. THEOREM. If two planes are perpendicular to each other, a line drawn in one of them perpendicular to their common intersection, will be perpendicular to the other plane, N^l T1...
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Elements of Geometry and Trigonometry Translated from the French of A.M ...

Charles Davies - Trigonometry - 1849 - 372 pages
...of the othei two, and the three planes are perpendicular to each other. PROPOSITION XVII. THEOREM. If two planes are perpendicular to each other, a line drawn in one of them perpendicular to their common intersection, will be perpendicular to the other plane. Let the...
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Elements of Geometry and Trigonometry

Adrien Marie Legendre - Geometry - 1852 - 436 pages
...-two, and the three planes are perpendicular to each other. PROPOSITION XVII. THEOEEM. Conversely: If two planes are perpendicular to each other, a line drawn in one of them .perpendicular to their common intersection, will be perpendicular to the other plane. Let...
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Elements of Geometry and Trigonometry from the Works of A.M. Legendre ...

Charles Davies - Geometry - 1854 - 436 pages
...of the other two, and the three planes are perpendicular to each other. PROPOSITION XVII, THEOREM. If two planes are perpendicular to each other, a line drawn in one of them perpendicular to their common intersection, will be perpendicular to the other plane. Let the...
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The Normal Elementary Geometry: Embracing a Brief Treatise on Mensuration ...

Edward Brooks - Geometry - 1868 - 284 pages
...is perpendicular to a plane, every plane passed 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...
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Plane and Solid Geometry: Suggestive Method

George Clinton Shutts - Geometry - 1894 - 412 pages
...edge Q-IO ? Compare the plane angles of the dihedrals thus formed. PROPOSITION XXVI. 452. Theorem. // two planes are perpendicular to each other, a line drawn in one of them perpendicular to their line of intersection is perpendicular to the other. Af, Let MN and С...
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Elements of Geometry

Andrew Wheeler Phillips, Irving Fisher - Geometry - 1896 - 554 pages
...570 Q ED PROPOSITION XVIII. THEOREM 575. If two planes are perpendicular to each other, a straight line drawn in one, perpendicular to their intersection,...GIVEN — the plane PQ perpendicular to the plane MN and intersecting MN in QS. Draw AB in PQ perpendicular to QS at A. To PROVE AB perpendicular to...
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Elements of Geometry

Andrew Wheeler Phillips, Irving Fisher - Geometry - 1896 - 574 pages
...§ 570 QED PROPOSITION XVIII. THEOREM 375. If two planes are perpendicular to each other, a straight line drawn in one , perpendicular to their intersection,...GIVEN — the plane PQ perpendicular to the plane MN and intersecting MN in QS. Draw AB in PQ perpendicular to QS at A. To PROVE AB perpendicular to...
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Elements of Geometry

Andrew Wheeler Phillips, Irving Fisher - Geometry - 1897 - 374 pages
...MN. § 550 PROPOSITION XVIII. THEOREM 555. If two planes arc perpendicular to each other, a straight line drawn in one, perpendicular to their intersection, is perpendicular to the other. GIVEN—the plane PQ perpendicular to the plane MN and intersecting MN in QS. Draw AB in PQ perpendicular...
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