 | George Albert Wentworth - Geometry - 1877 - 416 pages
...QED /" У P y/ x/ / / / AT LINES AND PLANES. PROPOSITION XIII. THEOREM. 466. If a straight line be perpendicular to one of two parallel planes it is perpendicular to the other. M Let MN and PQ be parallel planes and AB be perpendicular to PQ. We are to prove AB _L to M N. Let... | |
 | Webster Wells - Geometry - 1886 - 392 pages
...hence, being included between parallel planes, they are equal (§450). PROPOSITION XI. THEOREM. 452. If a straight line is perpendicular to one of two...perpendicular to the other also. Let MN and PQ be two parallel planes, and let the line AD be perpendicular to PQ. To prove that it is also perpendicular... | |
 | Webster Wells - Geometry - 1886 - 166 pages
...(§433). PROPOSITION XI. THEOREM. 452. If a straight line is perpendicular to one of two par' attel planes, it is perpendicular to the other also. Let MN and PQ be two parallel planes, and let the line AD be perpendicular to PQ. To prove that it is also perpendicular... | |
 | Benjamin Franklin Finkel - Mathematics - 1888 - 518 pages
...however far produced. 5. .'. AB and CZ>are parallel. By definition of Parallel Lines. PROPOSITION VII. I. Theorem. If a straight line is perpendicular to one of two parallel lines, it is perpendicular to the other, H CII. III. .K Given the parallel lines AB and CD and the... | |
 | Seth Thayer Stewart - Geometry, Modern - 1891 - 422 pages
...perpendicular planes, at a point of the intersection, lies in the other plane. PROPOSITION VIII. 441. Theorem: If a straight line is perpendicular to one of two parallel planes, it is perpendicular, also, to the other plane. Statement : If AB is perpendicular to 3 4, one of two parallel planes, /... | |
 | Seth Thayer Stewart - Geometry - 1891 - 426 pages
...to the intersection, is perpendicular to the other plane. 314 PROPOSITION VIII. 441. Theorem: // « straight line is perpendicular to one of two parallel planes, it is perpendicular, also, to the other plane. Statement : If AB is perpendicular to 3 4, one of two parallel planes, /... | |
 | Seth Thayer Stewart - Geometry - 1891 - 428 pages
...a point of the intersection, lies in the other plane. PROPOSITION VIII. 441. Theorem: If a sfraiyht line is perpendicular to one of two parallel planes, it is perpendicular, also, to the other plane. Statement : If AB is perpendicular to 3 4, one of two parallel planes, /... | |
 | Seth Thayer Stewart - Geometry, Modern - 1891 - 428 pages
...planes, at a point of the intersection, lies in the other plane. PROPOSITION VIII. 441. Theorem: // a straight line is perpendicular to one of two parallel planes, it iff perpendicular, also, to the other plane. Statement : If AB is perpendicular to 3 4, one of two... | |
 | Webster Wells - Geometry - 1894 - 400 pages
...intersection. PROPOSITION XIV. THEOREM. 421. A straight line perpendicular to one, of two parallel '' .^planes is perpendicular to the other also. Let MN and PQ be parallel planes ; and let the line AD be perpendicular to PQ. To prove AD perpendicular to MN. Pass any two planes through AD,... | |
 | Wooster Woodruff Beman, David Eugene Smith - Geometry - 1895 - 346 pages
...615. If each of two intersecting lines is parallel to a plane, so is the plane of those lines. 616. If a straight line is perpendicular to one of two parallel planes, it is to the other. 617. Two planes, each parallel to a third plane, are parallel to each other. 618. Ex.... | |
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Theorem: If a straight line is perpendicular to one of two parallel planes, it is perpendicular, also, to the other plane. 
