 COR. 1. If one of two parallel lines is perpendicular to a plane, the other is also perpendicular to the plane.  Solid Geometry - Page 260by George Albert Wentworth - 1899 - 218 pagesFull view - About this book
 | John H. Williams, Kenneth P. Williams - Geometry, Solid - 1916 - 184 pages
...Then AB and CD are perpendicular to the same line and lie in a common plane. § 90 522. THEOREM. // one of two parallel lines is perpendicular to a plane the other is also. Let AB be II CD, and -L plane MN. To prove CD -L MN. Now a -L can be drawn to MN at D (§ 507, 1).... | |
 | Ernst Rudolph Breslich - Mathematics - 1916 - 392 pages
...can be constructed perpendicular to the plane. 7. Lines perpendicular to a plane are parallel. 8. // one of two parallel lines is perpendicular to a plane, the other is perpendicular to the same plane. 9. Two lines parallel to the same line are parallel to each other.... | |
 | Fletcher Durell, Elmer Ellsworth Arnold - Geometry, Solid - 1917 - 220 pages
...and 4. 7. Why? 8. Why? 9. Why? 10. Why? 11. Why? QED LINES AND PLANES PROPOSITION XII. THEOREM 462. If one of two parallel lines is perpendicular to a plane, the other is also perpendicular to that plane. Given the two lines AB and A' B' meeting the plane MN in the points B and B', respectively... | |
 | Ernst Rudolph Breslich - Logarithms - 1917 - 408 pages
...constructed perpendicular to the plane. [372] 539. Lines perpendicular to a plane are parallel. [373] 540. If one of two parallel lines is perpendicular to a plane, the other is perpendicular to the same plane. [374] 541. Two lines parallel to the same line are parallel to each... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1918 - 486 pages
...the ends of a line is a plane perpendicular to the line at its mid-point. PROPOSITION X. THEOEEM 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. Proof. In the plane MN through... | |
 | Mabel Sykes, Clarence Elmer Comstock - Geometry, Modern - 1918 - 576 pages
...AA'B'B and AA'C'C SJ. 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. 1 M -C FIG. 23 Hypothesis: AB and DF are two parallel straight lines cutting plane M at A and D respectively.... | |
 | Claude Irwin Palmer, Daniel Pomeroy Taylor - Geometry - 1918 - 460 pages
...to a third plane, they are parallel to each other. Proof similar to that of § 124. 580. Theorem. // one of two parallel lines is perpendicular to a plane, the other is also; and conversely, two straight lines perpendicular to the same plane are parallel. Given AB II CD, and... | |
 | Claude Irwin Palmer - Geometry, Solid - 1918 - 192 pages
...to a third plane, they are parallel to each other. Proof similar to that of § 124. 580. Theorem. // one of two parallel lines is perpendicular to a plane, the other is also; and conversely, two straight lines perpendicular to the same plane are parallel. Given AB II CD, and... | |
 | Charles Austin Hobbs - Geometry, Solid - 1921 - 216 pages
...987. Find the locus of a point equidistant from two given parallel planes. Proposition 225 Theorem // one of two parallel lines is perpendicular to a plane, the other is also perpendicular to the plane. ,'F ''E/ Hypothesis. AB and CD are II lines, and AB is J- to the plane MN. Conclusion. CD is J. to... | |
 | 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 straight lines cutting plane M... | |
| |
