 | John Charles Stone, James Franklin Millis - Geometry, Solid - 1916 - 196 pages
...from any point of their line of intersection, lines drawn to A and B. •/ A X / BN^ 320. Theorem. — If one of two parallel lines is perpendicular to a...plane, the other is also perpendicular to the plane. C\ A\ I D\ Hypothesis. Lines AB and CD meet plane MN at B and D, respectively ; AB JL plane MN; AB... | |
 | American Mathematical Society - Mathematics - 1916 - 580 pages
...and many points of intersection of the edges which are not vertices. (2) In proving (No. 555) that, if one of two parallel lines is perpendicular to a plane, the other is also, it is necessary first to prove that the second line meets the plane. (3) The notion of half-plane must... | |
 | William Betz - Geometry - 1916 - 536 pages
...1. AABC = AABD. .\BC = BD. Why? 2. BE is neither equal to BC nor less than-BC. Why? .'. BE>BC. 555. If one of two parallel lines is perpendicular to a plane, the other is also ; and conversely, two lines perpendicular to the same plane are parallel. I Ib' (a) Given the parallel... | |
 | Webster Wells, Walter Wilson Hart - Geometry - 1916 - 504 pages
...plane, ABDC. 6. But AB _L BD and CD J_ BD. Why ? 7. .-. AB II CD. § 97 473. Cor. 1. Jf owe o/ too parallel lines is perpendicular to a plane, the other is also perpendicular to the plane. Hyp. AB 11 CD. A AB ± plane MN. Con. CD _L JfJV. Suggestions. — 1. Assume CE 1 MN. 2. Prove CE \\... | |
 | 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.... | |
| |
If one of two parallel lines is perpendicular to a plane, the other is also perpendicular to the plane. 
