| Mabel Sykes, Clarence Elmer Comstock - Geometry, Solid - 1922 - 238 pages
...prove BB' \\ and = CC'. PERPENDICULARS AND PARALLELS TEST FOR PERPENDICULARS TO PLANES 24. THEOREM 16. If one of two parallel lines is perpendicular to a plane, the other is also perpendicular to the plane. F B D -— A--.-.- -c FIG. 23 Hypothesis: AB and DF are two parallel... | |
| Arthur Schultze, Frank Louis Sevenoak - Geometry - 1913 - 484 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.... | |
| David Eugene Smith - Geometry, Solid - 1924 - 256 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... | |
| Baltimore (Md.). Department of Education - Mathematics - 1924 - 182 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.... | |
| Arthur Schultze, Frank Louis Sevenoak - Geometry - 1925 - 504 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.... | |
| National Committee on Mathematical Requirements - Mathematics - 1927 - 208 pages
...given external point one plane, and only one, can be passed perpendicular to a given line. [5, cd] If one of two parallel lines is perpendicular to a plane, the other is also perpendicular to the plane, [u, cd] If two lines are parallel to a third line, they are parallel... | |
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