 | William Chauvenet - 1893 - 340 pages
...given point a plane can be passed parallel to any two given straight lines in space. PROPOSITION VII. Planes perpendicular to the same straight line are parallel to each other. PROPOSITION VIII. The intersections of two parallel planes with any third plane are parallel. PROPOSITION... | |
 | Webster Wells - 1894 - 172 pages
...(§419.) If another plane could be drawn through A parallel to PQ, it would be perpendicular to AB. [A straight line perpendicular to one of two parallel planes is perpendicular to the other also.] (§ 421.) It would then coincide with MN. [Through a given point in a straight line, but one plane... | |
 | Charles Ambrose Van Velzer, George Clinton Shutts - Geometry - 1894 - 522 pages
...their vertices, they are equal and their planes are parallel. PROPOSITION XVIII. A .•.! i ..i;,i H line perpendicular to one of two parallel planes is perpendicular to the other also. PROPOSITION XIX. If tnree parallel planes are intersected by two lines, the segments of the lines are... | |
 | Webster Wells - Geometry - 1894 - 394 pages
...plane perpendicular to the same straight line are parallel. PROPOSITION XIV. THEOREM. . 421. A stmight 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... | |
 | Webster Wells - Geometry - 1894 - 398 pages
...planes is parallel to their intersection. PROPOSITION XIV. THEOREM. 421. A straight line perpendwular 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... | |
 | John Macnie - Geometry - 1895 - 390 pages
...AB, DC, the figure AC is a parallelogram (131); whence AD = BC (136). PROPOSITION XII. THEOREM. 453. A. straight line perpendicular to one of two parallel planes is perpendicular to the other also. Given: Two parallel planes, MN, PQ, and a straight line AB perpendicular to MN ; To Prove: AB is perpendicular... | |
 | Wooster Woodruff Beman, David Eugene Smith - Geometry - 1895 - 346 pages
...same plane T. 2. And they cannot meet, because M II N. 3. .'. they are parallel by def. COROLLARY. A line perpendicular to one of two parallel planes is perpendicular to the other. Pass two planes through that line and apply th. 23 and the def. of a plane J_ to a line. EXERCISES.... | |
 | Wooster Woodruff Beman, David Eugene Smith - Geometry - 1895 - 344 pages
...same plane T. 2. And they cannot meet, because M II N. 3. .'. they are parallel by def. COEOLLAKY. A line perpendicular to one of- two parallel planes is perpendicular to the other. Pass two planes through that line and apply th. 23 and the def. of a plane _L to a line. EXERCISES.... | |
 | George Albert Wentworth - Mathematics - 1896 - 68 pages
...between parallel planes are equal. 494. Cor. 2. Two parallel planes are everywhere equally distant. 495. A straight line perpendicular to one of two parallel planes is perpendicular to the other. 496. Cor. 1. Through a given point one plane, and only one, can be drawn parallel to a given plane.... | |
 | George Washington Hull - Geometry - 1897 - 408 pages
...point in the plane is equally distant from the extremities of the line. PROPOSITION XVI. THEOREM. 395. A straight line perpendicular to one of two parallel planes is perpendicular to the other. Given—AC perpendicular to the plane MN, which is parallel to the plane PQ. To Prove—AC perpendicular... | |
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A straight line perpendicular to one of two parallel planes is perpendicular to the other also. 
