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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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Schultze and Sevenoak's Plane and Solid Geometry

Arthur Schultze, Frank Louis Sevenoak - Geometry - 1913 - 457 pages
...the ends of a line is a plane perpendicular to the line at its mid-point. PROPOSITION X. THEOREM 504. If one of two parallel lines is perpendicular to a plane, the other is also perpendicular to the plane. Given AB II A'B', and AB _L plane MN. To prove A'B' _L plane MN....
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Essentials of Solid Geometry

David Eugene Smith - Geometry, Solid - 1924 - 238 pages
...( 3, 9), and then that AB and CD are each _L to BD ( 33). .'.AB is II to CD. 9,9 48. Corollary. 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 6 a line is drawn J. to m, how is...
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Mathematics: Course of Study for Senior and Junior High Schools

Baltimore (Md.). Department of Education - Mathematics - 1924 - 169 pages
...given point outside a plane, one plane, and but one, can be passed parallel to the given plane. 14. If one of two parallel lines is perpendicular to a plane, the other is also perpendicular to that plane. 15 . Two dihedral angles are equal if their plane angles are equal....
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Plane and Solid Geometry

Arthur Schultze, Frank Louis Sevenoak - Geometry - 1925 - 480 pages
...is the plane that is perpendicular to the line at its middle point. PROPOSITION XI. THEOREM 510. // one of two parallel lines is perpendicular to a plane, the other is also perpendicular to the plane. Given AB \\ A'B', and AB _L plane MAT. To prove A'B' _L plane MN....
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