 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1902 - 394 pages
...Whence AA'VC is a parallelogram, and AC = A'C'. LINES AND PLANES IN SPACE PROPOSITION VI. THEOREM 469. If one of two parallel lines is perpendicular to a plane, the other is also perpendicular to the plane. Hyp. AB is || to CD, and AB is -l. to plane MN. To prove CD is... | |
 | Thomas Franklin Holgate - Geometry - 1901 - 462 pages
...perpendicular, is at right angles to the line of the plane. ELEMENTARY GEOMETRY [CHAP. VI 407. COROLLARY II. If one of two parallel lines is perpendicular to a plane, the other is also. For, if not, at its point of intersection with the plane erect a perpendicular. This lies... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1901 - 394 pages
...parallelogram, and AC = AC'. .: A ABC = A A'B'C". LINES AND PLANES IN SPACE PROPOSITION VI. THEOREM 469. If one of two parallel lines is perpendicular to a plane, the other is also perpendicular to the plane. Hyp. AB is || to CD, and AB is -L to plane MN. To prove CD is J-... | |
 | George Albert Wentworth - Geometry, Solid - 1902 - 248 pages
...are both J_ to BD. Therefore, AB and CD are parallel. § 508 § 492 § 501 § 104 QED 520. COR. 1. If one of two parallel lines is perpendicular to a plane, the other is also perpendicular to the plane. For if through any point O of CD a line is A c drawn J_ to MN,... | |
 | Fletcher Durell - Geometry, Solid - 1904 - 232 pages
...are in the same plan**. But AB and CD are ± and CD are (Why?) Art. 505. Art. 121. QED 525. COR. 1. If one of two parallel lines is perpendicular to a plane, the other is perpendicular to the plane also. For, if AB and CD be ||. and AB J. plane PQ, a line drawn from... | |
 | Fletcher Durell - Geometry - 1911 - 553 pages
...plane. (Why?) But AB and CD are J_ 727). Art. 505. /. AB and CD are ||. Art. 121. QE D, 525, COR. 1. If one of two parallel lines -is perpendicular to a plane, the oilier ix perpendicular to the plane also. For, if AB and CD be ||, and AB _L Plane P#, a line drawn... | |
 | Wisconsin. Department of Public Instruction - Education - 1906 - 124 pages
...any point in the perpendicular, the line so drawn is perpendicular to • the line of the plane. 9. If one of two parallel lines is perpendicular to a plane the other is also. 10. Two lines perpendicular to the same plane are parallel. Cor. Two straight lines both parallel... | |
 | Isaac Newton Failor - Geometry - 1906 - 440 pages
...the extremities of a given straight line ? SOLID GEOMETRY— BOOK VI PROPOSITION VIII. THEOREM 534 If one of two parallel lines is perpendicular to a plane, the other is also perpendicular to the plane. § 117 HYPOTHESIS. AB is || to CD, and AB is -L to the plane MH... | |
 | Isaac Newton Failor - Geometry - 1906 - 431 pages
...the extremities of a given straight line ? SOLID GEOMETRY — BOOK VI PROPOSITION VIII. THEOREM 534 If one of two parallel lines is perpendicular to a plane, the other is also perpendicular to the plane. N HYPOTHESIS. AB is || to CD, and AB is _L to the plane MN at B.... | |
 | Webster Wells - Geometry - 1908 - 336 pages
...line drawn in the plane through its foot] (§ 350) 9. Then, AB II CD. SOLID GEOMETRY — BOOK VI 369. If one of two parallel lines is perpendicular to a plane, the other is aluo perpendicular to the plane. Let lines AB and CD be II, and AB Jto plane MN. Since two J§ to... | |
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THEOREM. If one of two parallel lines is perpendicular to a plane, the other will also be perpendicular to this plane. Let AP & ED be parallel lines, of which AP is perpendicular to the plane MN ; then will ED be also perpendicular to this plane. 
