 | Wooster Woodruff Beman, David Eugene Smith - 1899 - 412 páginas
...plane, not more than one line can be druu'n perpendicular to that plane. PROPOSITION IX. 342. Theorem. If one of two parallel lines is perpendicular to a plane, the other is also. MI i Given 0 F II 0' Y', 0 Y _L plane MN at O, and 0' Y' meeting plane MN at O'. To prove that 0'Y'±MN.... | |
 | Wooster Woodruff Beman, David Eugene Smith - 1903 - 158 páginas
...OX, § 339 II ^X, and similarly for all other _k. I, prop. XVI, cor. 3 PROPOSITION IX. 342. Theorem. If one of two parallel lines is perpendicular to a plane, the other is also. Given OY II O' Y', OY J- plane MN at O, and O' Y' meeting plane MN at O'. To prove that O'Y'±MN. Proof.... | |
 | Wooster Woodruff Beman, David Eugene Smith - 1900 - 160 páginas
...similarly for all other -k Why? § 330, 2 § 339 I, prop. XVI, cor. 3 PROPOSITION IX. 342. Theorem. If one of two parallel lines is perpendicular to a plane, the other is also. Given 0 Y II 0' Y', 0 Y J- plane MN at 0, and 0' Y' meeting plane MN at 0'. To prove that 0'Y'±MN.... | |
 | Arthur Schultze, Frank Louis Sevenoak - 1902 - 394 páginas
...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 -l. to plane... | |
 | Thomas Franklin Holgate - 1901 - 462 páginas
...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 in a plane... | |
 | Arthur Schultze, Frank Louis Sevenoak - 1901 - 394 páginas
...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- to plane... | |
 | George Albert Wentworth - 1902 - 248 páginas
...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, it is II... | |
 | Fletcher Durell - 1904 - 232 páginas
...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 C _L... | |
 | Fletcher Durell - 1911 - 553 páginas
...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... | |
 | Isaac Newton Failor - 1906 - 431 páginas
...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. CONCLUSION.... | |
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If one of two parallel lines is perpendicular to a plane, the other is also perpendicular to that plane. Let AB, A'B', be parallel lines, and let n s' AB be perpendicular to the plane MN; then, A'B 
