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" If one of two parallel lines is perpendicular to a plane, the other will also be perpendicular to the same plane. "
Elements of Geometry and Trigonometry: With Notes - Page 126
by Adrien Marie Legendre - 1830 - 316 pages
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Second-year Mathematics for Secondary Schools

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....
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Third-year Mathematics for Secondary Schools

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...
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Plane Geometry

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...
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Schultze and Sevenoak's Plane and Solid Geometry

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...
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Plane and Solid Geometry

Claude Irwin Palmer, Daniel Pomeroy Taylor - Geometry - 1918 - 436 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...
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Solid Geometry

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...
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Solid Geometry

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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General Mathematics, Book 2

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...
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Solid Geometry

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...
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Solid Geometry

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...
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