 If one of two parallel lines is perpendicular to a plane, the other is also perpendicular to that plane. Let AB, A'B', be parallel lines, and let n s' AB be perpendicular to the plane MN; then, A'B  Solid Geometry - Page 292by Claude Irwin Palmer - 1918 - 177 pagesFull view - About this book
 | Wisconsin. Department of Public Instruction - Education - 1906 - 124 pages
...point in the perpendicular, the line so drawn is perpendicular to • the line of the plane. 9. If one of two parallel lines is perpendicular to a plane the other is also. 10. Two lines perpendicular to the same plane are parallel. Cor. Two straight lines both parallel to... | |
 | Webster Wells - Geometry - 1908 - 336 pages
...drawn in the plane through its foot] (§ 350) 9. Then, AB II CD. SOLID GEOMETRY — BOOK VI 369. If one of two parallel lines is perpendicular to a plane, the other is aluo perpendicular to the plane. Let lines AB and CD be II, and AB Jto plane MN. Since two J§ to the... | |
 | Webster Wells - 1909 - 154 pages
...plane with any plane drawn through the line is parallel to the line.) § 362. 4. Hence, HGA.AH. (If one of two parallel lines is perpendicular to a plane, the other is also perpendicular to the plane.) § 309. 5. Hence, Z //is a rt. Z. In a similar manner we show that the... | |
 | Geometry, Plane - 1911 - 192 pages
...perimeter of the trefoil is equal to that of the circumference of the circle, and find its area. 6. If one of two parallel lines is perpendicular to a plane, the other is also perpendicular to the plane. Can a plane always be drawn through a given point parallel to two straight... | |
 | Herbert Ellsworth Slaught, Nels Johann Lennes - Geometry, Solid - 1911 - 208 pages
...PARALLELS. 27. THEOREM. If two lines are perpendicular to the same plane, they are parallel. CONVERSELY. If one of two parallel lines is perpendicular to a plane, the other is also. Given : (1) AB and CD each -L to the plane M. To prove that AB II CD. Proof : Draw BD and make DE -L... | |
 | George Clinton Shutts - Geometry - 1912 - 392 pages
...stick of timber with a carpenter's square continuously the line will end at its starting point. 461. THEOREM. // one of two parallel lines is perpendicular to a plane, the other is also perpendicular to the plane. HD -M Given GH II CD and meeting plane M in G and C respectively, with... | |
 | George Clinton Shutts - Geometry - 1912 - 392 pages
...— £02 and £C2 = OW + OE*. Add and complete the demonstration. PROPOSITION IX. 461. THEOHEM. // one of two parallel lines is perpendicular to a plane, the other is also perpendicular to the plane. Given GH II CD and meeting plane M in G and C respectively, with CD _L... | |
 | Clara Avis Hart, Daniel D. Feldman, Virgil Snyder - Geometry, Solid - 1912 - 230 pages
...ulso bo seen (§ 645) that the planes of these angles are parallel. PROPOSITION X. THEOREM 636. If one of two parallel lines is perpendicular to a plane, the other also is perpendicular to the plane. A D^ Given AB II CD and AB _L plane MN. To prove CD _L plane MN.... | |
 | Clara Avis Hart, Daniel D. Feldman - Geometry - 1912 - 504 pages
...also be seen (§ 645) that the planes of these angles are parallel. PROPOSITION X. THEOREM 636. If one of two parallel lines is perpendicular to a plane, the other also is perpendicular to the plane. AC If* ,-U5 Given AB II CD and AB ± plane MN. To prove CD .L plane... | |
 | George C. Shutts - 1913 - 212 pages
...double the radius? Of one-half the radius? Of m times the radius? Of — times the PROPOSITION IX. 461. THEOREM. // one of two parallel lines is perpendicular to a plane, the other is also perpendicular to the plane. H E' Given GH \\ CD and meeting plane M in G and C respectively, with CD... | |
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