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" If two intersecting planes are each perpendicular to a third plane, their intersection is perpendicular to that plane. "
Plane and Solid Geometry - Page 257
by Arthur Schultze, Frank Louis Sevenoak - 1901 - 370 pages
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General Mathematics, Book 2

Raleigh Schorling, William David Reeve - Mathematics - 1922 - 460 pages
...three planes determined by the three given lines bear to each other ? Prove your answer. 286. Theorem. If two intersecting planes are each perpendicular to a third plane, their line of intersection is perpendicular to the third plane. FIG. 278 Given the planes TT' and ir" intersecting...
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Solid Geometry

Mabel Sykes, Clarence Elmer Comstock - Geometry, Solid - 1922 - 236 pages
...LINES AND PLANES TEST FOR PERPENDICULARS TO PLANES 27 38. THEOREM 28. If two intersecting planes are perpendicular to a third plane, their intersection is perpendicular to that plane. FIG. 33 Hypothesis: Planes P and Q _L plane M. Planes P and Q intersect in line AB. Conclusion: AB...
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Essentials of Solid Geometry

David Eugene Smith - Geometry, Solid - 1924 - 256 pages
...parallel to the other plane. DIHEDRAL ANGLES BOOK VI Proposition 15. Two Perpendicular Planes 75. Theorem. If two intersecting planes are each perpendicular to a third plane, their intersection is also perpendicular to that plane. Given the planes m and n intersecting in AB and each _L to the plane...
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Plane and Solid Geometry

Arthur Schultze, Frank Louis Sevenoak - Geometry - 1925 - 504 pages
...AF, if plane CE _L plane MN, AB _L CD, AB = m in., and BF = n in. PROPOSITION XXI. THEOREM 539. // two intersecting planes are each perpendicular to...their intersection is perpendicular to that plane. pr Given the planes PQ and RA _L plane MN, and intersecting in AB. To prove AB _L plane MN. Proof....
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Mathematics: Course of Study for Senior and Junior High Schools

Baltimore (Md.). Department of Education - Mathematics - 1924 - 182 pages
...perpendicular to a given plane, every plane which contains this line is perpendicular to the given plane. 12. If two intersecting planes are each perpendicular to a third plane, their intersection is also perpendicular to that plane. Subsidiary Theorems 1 . If from an external point a perpendicular...
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The Reorganization of Mathematics in Secondary Education (part I): A ..., Part 1

National Committee on Mathematical Requirements - Mathematics - 1927 - 208 pages
...given plane, every plane which contains this line is perpendicular to the given plane. [26*, cd*] 12. If two intersecting planes are each perpendicular to a third plane, their intersection is also perpendicular to that plane. [27*, cd] 13. The sections of a prism made by parallel planes cutting...
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Examination Questions in Mathematics: Forth Series, 1916-1920

College Entrance Examination Board - Mathematics - 1920 - 108 pages
...hours [The question paper Mathematics CD, Plane and Solid Geometry, is printed on page 1. ] 1. Prove: If two intersecting planes are each perpendicular to a third plane, their intersection is also perpendicular to that plane. 2. Prove: The angle formed by two arcs of great circles is measured...
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