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" V 678. // a straight line is perpendicular to a plane, every plane containing this line is perpendicular to the given plane. "
Solid Geometry - Page 226
by Walter Burton Ford, Charles Ammerman - 1913 - 107 pages
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Plane and Solid Geometry: Suggestive Method

George Clinton Shutts - Geometry - 1894 - 412 pages
...the same side of either plane, is equal to two right dihedral angles. PROPOSITION XXV. 451. Theorem. If a straight line is perpendicular to a plane, every plane containing that line is perpendicular to the plane. Let А В be a straight line perpendicular to the plane MN,...
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Plane and Solid Geometry

Elmer Adelbert Lyman - Geometry - 1908 - 364 pages
...plane at unequal distances from the foot of the perpendicular, the more remote is the greater. 514. If a straight line is perpendicular to a plane, every plane containing the straight line is perpendicular to the plane. 515. If two intersecting planes' are each perpendicular...
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Solid Geometry, with Problems and Applications

Herbert Ellsworth Slaught, Nels Johann Lennes - Geometry, Solid - 1911 - 208 pages
...planes are perpendicular to each other if their dihedral angle is a right angle. 48. THEOREM. If a line is perpendicular to a plane, every plane containing this line is perpendicular to the plane. In N Given : a line / J- plane N at P, To prove that a plane M containing Us JN Proof : Let...
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Solid Geometry

Clara Avis Hart, Daniel D. Feldman, Virgil Snyder - Geometry, Solid - 1912 - 222 pages
...other also. (HINT. Use the indirect method and apply §§ 663 and 664.) PROPOSITION XXII. THEOREM 678. If a straight line is perpendicular to a plane, every...containing this line is perpendicular to the given plane. E! Given str. line AB _L plane MN and plane PQ containing line AB and intersecting plane MN in CD....
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Plane and Solid Geometry

Clara Avis Hart, Daniel D. Feldman - Geometry - 1912 - 504 pages
...intersect the other alsG. (HINT. Use the indirect method and apply § 652.) PROPOSITION XXII. THEOREM 678. If a straight line is perpendicular to a plane, every...containing this line is perpendicular to the given plane. M El Given str. line AB _L plane MN and plane PQ containing line AB and intersecting plane MN in CD....
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Solid Geometry

Clara Avis Hart, Daniel D. Feldman - Geometry, Solid - 1912 - 220 pages
...the indirect method and apply §§ 663 and 664.) SOLID GEOMETRY PROPOSITION XXII. THEOREM V 678. // a straight line is perpendicular to a plane, every...containing this line is perpendicular to the given plane. M E! Given str. line AB _L plane MN and plane PQ containing line AB and intersecting plane MN in CD....
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Solid Geometry

Clara Avis Hart, Daniel D. Feldman, Virgil Snyder - Geometry, Solid - 1912 - 230 pages
...the other also. (HINT. Use the indirect method and apply § 652.) PROPOSITION XXII. THEOREM 678. Tf a straight line is perpendicular to a plane, every plane, containing this line is perpendicular to tlie given plane. M E! Given str. line AB _L plane MN and plane PQ containing line AB and intersecting...
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Solid Geometry

Clara Avis Hart, Daniel D. Feldman, Virgil Snyder - Geometry, Solid - 1912 - 216 pages
...Use the indirect method and apply §§ 663 and 664.) SOLID GEOMETRY PROPOSITION XXII. THEOREM 678. Tf a straight line is perpendicular to a plane, every plane containing this line is perpendiculai to the given plane. Given str. line AB _L plane MN and plane PQ containing lino AB and...
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Elements of Solid Geometry

William Herschel Bruce, Claude Carr Cody - Geometry, Solid - 1912 - 134 pages
...parallel are either equal or supplementary. BOOK VI. SOLID GEOMETRY. PROPOSITION XIV. THEOREM. 19 567. If a straight line is perpendicular to a plane, every plane containing that line is perpendicular to the plane. Given AB JL plane MN, and PQ any plane passing through AB...
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Plane and Solid Geometry

Walter Burton Ford, Charles Ammerman - Geometry, Plane - 1913 - 376 pages
...line CD drawn in the one perpendicular to their intersection is perpendicular to the other plane. FIG. 179. 263. Theorem IX. If a straight line is perpendicular...line of intersection of the two planes MN and PQ. Consider any line C'D' in the plane PQ perpendicular to the line AB. Then CD is parallel to ODf. §...
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