 | 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... | |
 | William Betz, Harrison Emmett Webb - Geometry, Solid - 1916 - 214 pages
...neither equal to BC nor less than BC. Why? PEBPENDICULAB LINES AND PLANES PROPOSITION X. THEOREM 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. ibf (a) Given the... | |
 | 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 (§... | |
 | 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.... | |
 | 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... | |
 | 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... | |
 | 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... | |
 | 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... | |
 | 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... | |
 | 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... | |
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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. 
