 | Herbert Edwin Hawkes, William Arthur Luby, Frank Charles Touton - Geometry, Solid - 1922 - 216 pages
...HINT. Draw any other line from the given point to the tangent and apply Exercise 30. Theorem 18 426. If one of two parallel lines is perpendicular to a plane, the other line is also perpendicular to the plane. Given the line AB parallel to the line KF and perpendicular... | |
 | Raleigh Schorling, William David Reeve - Mathematics - 1922 - 476 pages
...coplanar lines are perpendicular to the same line, they are parallel to each other. 259. Corollary 1. If one of two parallel lines is perpendicular to a plane, the other line is perpendicular to the plane. SUGGESTION. Let AB (Fig. 261) be II CD and J. the plane IT. Then... | |
 | 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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THEOREM. If one of two parallel lines is perpendicular to a plane, the other will also be perpendicular to this plane. Let AP & ED be parallel lines, of which AP is perpendicular to the plane MN ; then will ED be also perpendicular to this plane. 
