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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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The Calendar

University of South Africa - Universities and colleges - 1913 - 768 pages
...parallel. If any two straight lines ave cut by three or more parallel planes, they ave eut proportionally, If a straight line is perpendicular to a plane, every plane containing it is perpendicular to that plane. If two intersecting planes are both perpendicular to a third plane,...
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Solid Geometry

Claude Irwin Palmer - Geometry, Solid - 1918 - 192 pages
...right diedral angle, the two planes are said to be perpendicular to each other. 691. Theorem. // a line is perpendicular to a plane, every plane containing...this line is perpendicular to the given plane. Given CD perpendicular to plane PQ, and plane MN through CD intersecting PQ in AB. To prove that plane MN...
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Plane and Solid Geometry

Claude Irwin Palmer, Daniel Pomeroy Taylor - Geometry - 1918 - 460 pages
...right diedral angle, the two planes are said to be perpendicular to each other. 691. Theorem. // a line is perpendicular to a plane, every plane containing...this line is perpendicular to the given plane. Given CD perpendicular to plane PQ, and plane MN through CD intersecting PQ in AB. To prove that plane MN...
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Solid Geometry, with Problems and Applications

Herbert Ellsworth Slaught, Nels Johann Lennes - Geometry, Solid - 1919 - 240 pages
...of the other two. Why ? SOLID GEOMETRY: BOOK I PERPENDICULAR LINES AND PLANES 117. THEOREM XIX. If a line is perpendicular to a plane, every plane containing this line is perpendicular to that plane. l\A Given a line / JL plane AT at P. To prove that a, plane M containing I is -L N. Proof...
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Solid Geometry, with Problems and Applications

Herbert Ellsworth Slaught, Nels Johann Lennes - Geometry, Solid - 1919 - 232 pages
...of the other two. Why ? SOLID GEOMETRY: BOOK I PERPENDICULAR LINES AND PLANES 117. THEOREM XIX. If a line is perpendicular to a plane, every plane containing this line is perpendicular to that plane. Given a line / J. plane Nut P. To prove that a plane M containing l is _L N. Proof : Let...
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Plane Geometry

Walter Burton Ford, Charles Ammermann - Geometry, Modern - 1923 - 406 pages
...planes, the lines of intersection are parallel. Thus, in Fig. 182, AB and CD are parallel. Fio. 182 5. // a straight line is perpendicular to a plane, every plane containing this line is likewise perpendicular to that plane. Thus, in Fig. 178 (a) if we think of all the planes that can...
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Plane and Solid Geometry

Walter Burton Ford, Charles Ammerman - Geometry, Plane - 1923 - 414 pages
...two parallel planes, the lines of intersection are parallel. FIG. 182 SOLID GEOMETRY [VI, ยง 236 5. If a straight line is perpendicular to a plane, every plane containing this line is likewise perpendicular to that plane. Thus, in Fig. 178 (a) if we think of all the planes that can...
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