 | George Albert Wentworth - Geometry - 1899 - 496 pages
...Therefore, AB and CD are parallel. § 508 § 492 § 501 § 104 QBD 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 0 of CD a line is drawn ± to MN, it is II to AB (§ 519), and CD coincides... | |
 | William James Milne - Geometry - 1899 - 396 pages
...hence, § 71, CD and EF are parallel. Therefore, etc. 454. Cor. I. If one of two parallel straight lines is perpendicular to a plane, the other is also perpendicular to the plane. 455. Cor. II. Two straight lines that are parallel to a third straight line in another plane... | |
 | Webster Wells - Geometry - 1899 - 432 pages
...foot.] (§ 398) .-. AB II CD. SOLID GEOMETRY. — BOOK VI. 419. Cor. I. If one of two parallel lines is perpendicular to a plane, the other is also perpendicular to the plane. Given lines AB and CD II, and A c AB _L to plane MN. To Prove CD ± MN. Proof. A J_ from C to... | |
 | Webster Wells - Geometry - 1899 - 424 pages
...foot.] (§ 398) .-. AB II CD. SOLID GEOMETRY. — BOOK VI. 419. Cor. I. If one of two parallel lines is perpendicular to a plane, the other is also perpendicular to the plane. Given lines AB and CD II, and A c AB _L to plane MN. To Prove CD ± MN. Proof. A _L from C to... | |
 | George Albert Wentworth - Geometry, Solid - 1899 - 246 pages
...AB and CD are parallel. §508 § 492 § 501 § 104 0. ED 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 drawn _L to MN, it is II to AB (§ 519), and CD coincides... | |
 | Arthur Schultze - 1901 - 392 pages
...A'B'C'. (Why?) 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 MN. Proof. In the... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1902 - 394 pages
...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 MN. Proof. In the... | |
 | George Albert Wentworth - Geometry, Solid - 1902 - 246 pages
...and CD are parallel. § 518 §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 0 of CD a line is drawn _L to MN, it is il to AB (§ 519), and CD Mr... | |
 | George Albert Wentworth - Geometry - 1904 - 496 pages
...the plane MN± to BD. § 518 § 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 * fl drawn -L to MN, it is II to AB (§ 519), and... | |
 | Charles Davison - Geometry, Solid - 1905 - 140 pages
...find the locus of the point P. 12. PROP. 11. If two straight lines be parallel, and one of them be perpendicular to a plane, the other is also perpendicular to the same plane. Let CD meet the plane X in D ; through D, in the plane X, draw a straight line EOF perpendicular to... | |
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If one of two parallel lines is perpendicular to a plane, the other is also perpendicular to the plane. 
