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 23by Mabel Sykes, Clarence Elmer Comstock - 1922 - 218 pagesFull view - About this book
| 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 the plane AB (see the... | |
| 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 B\ E Let the plane AB be... | |
| 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 plane AB be perpendicular... | |
| 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... | |
| 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 plane BA be perpendicular... | |
| 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 each other are both perpendicular... | |
| Arthur Latham Baker - Geometry, Solid - 1893 - 150 pages
...plane angles. PROPOSITION XIII. THEOREM. 64. If two planes are perpendicular to each other, a line in one of them perpendicular to the intersection is perpendicular to the other. Notation. Let M and N be J_ to each other, and let p be drawn in M perpendicular to their intersection... | |
| 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 В be two planes perpendicular... | |
| George Albert Wentworth, David Eugene Smith - Geometry - 1913 - 496 pages
...ZA'-B'C'-D' ZA'B'D' , •'• Z. A-BC-D =^ABD'^*™- . «•*•*• PROPOSITION XVII. THEOREM 474. If two planes are perpendicular to each other, a line drawn in one of them perpendicular to their intersection is perpendicular to the other. Given the planes MN and PQ perpendicular to each... | |
| George Albert Wentworth, David Eugene Smith - Geometry - 1913 - 491 pages
...value and approaches ZA'B'D' as a limit. Case 1 ZA'-B'C'-D' ZA'B'D' , PROPOSITION XVII. THEOREM 474. If two planes are perpendicular to each other, a line drawn in one of them perpendicular to their intersection is perpendicular to the other. Given the planes MN and PQ perpendicular to each... | |
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