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" If one of two parallel lines is perpendicular to a plane, the other will also be perpendicular to the same plane. "
Elements of Geometry and Trigonometry: With Notes - Page 126
by Adrien Marie Legendre - 1830 - 316 pages
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Plane and Solid Geometry

Arthur Schultze, Frank Louis Sevenoak - Geometry - 1901 - 370 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-...
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Solid Geometry, Volumes 6-9

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,...
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Solid Geometry

Fletcher Durell - Geometry, Solid - 1904 - 206 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...
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Plane and Solid Geometry

Fletcher Durell - Geometry - 1911 - 546 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...
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Plane and Solid Geometry

Isaac Newton Failor - Geometry - 1906 - 418 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....
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Plane and Solid Geometry

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...
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Manual of the Free High Schools of Wisconsin

Wisconsin. Dept. of Public Instruction - Education - 1906 - 116 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...
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New Plane and Solid Geometry

Webster Wells - Geometry - 1908 - 338 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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Key to the Exercises in Wells's New Geometry

Webster Wells - 1909 - 152 pages
...with any plane drawn through the line is parallel to the line.) 362. 4. Hence plane DGHA _L BC. (If one of two parallel lines is perpendicular to a plane, the other is also perpendicular to the plane.) 369. 5. Then, HALBC. (All the perpendiculars to a straight...
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Solid Geometry, with Problems and Applications

Herbert Ellsworth Slaught, Nels Johann Lennes - Geometry, Solid - 1911 - 208 pages
...PARALLELS. 27. THEOREM. If two lines are perpendicular to the same plane, they are parallel. CONVERSELY. If one of two parallel lines is perpendicular to a plane, the other is also. Given : (1) AB and CD each -L to the plane M. To prove that AB II CD. Proof : Draw BD and...
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