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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. "
Constructive Text-book of Practical Mathematics - Page 164
by Horace Wilmer Marsh, Annie Griswold Fordyce Marsh - 1914
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Elements of Geometry and Trigonometry: With Notes

Adrien Marie Legendre - Geometry - 1828 - 346 pages
...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 the plane AB (see the last fig.)...
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Elements of Geometry and Trigonometry

Adrien Marie Legendre - Geometry - 1836 - 394 pages
...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 B\ E Let the plane AB be perpendicular...
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Elements of plane (solid) geometry (Higher geometry) and trigonometry (and ...

Nathan Scholfield - 1845 - 894 pages
...planes are l>erpendicular to each other. PROPOSITION XVIII. THEOREM. If two planes are perpendicular lo each other, a line drawn in one of them perpendicular to their common intersection, will be perpendicular to the other plane. Let the plane AB (see diagram to Prop....
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Elements of Geometry and Trigonometry Translated from the French of A.M ...

Charles Davies - Trigonometry - 1849 - 372 pages
...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 plane AB be perpendicular to...
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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 the plane BA be perpendicular to...
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Elements of Geometry and Trigonometry from the Works of A.M. Legendre ...

Charles Davies - Geometry - 1854 - 436 pages
...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 plane BA be perpendicular to...
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Elements of Geometry and Trigonometry

Adrien Marie Legendre - Geometry - 1863 - 464 pages
...other two, and the three planes will be perpendicular to each other. PROPOSITION XVII. THEOREM. If two planes are perpendicular to each other, a line...one of them, perpendicular to their intersection, wiM be perpendicular to the other. Let the planes BF and MN be perpendicular to each other, and let...
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The Normal Elementary Geometry: Embracing a Brief Treatise on Mensuration ...

Edward Brooks - Geometry - 1868 - 284 pages
...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...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
...7 and PROPOSITION XVIII.— THEOREM. 49. 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. Let the planes PQ and MN be perpendicular to each other ; at any point B of their intersection BQ,...
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A Treatise on Elementary Geometry: With Appendices Containing a Collection ...

William Chauvenet - Mathematics - 1872 - 382 pages
...other. 7 PROPOSITION XVIII.— THEOREM. 49. 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. Let the planes PQ and MN be perpendicular to each other; and at any point B of their intersection BQ,...
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