 If two intersecting planes are each perpendicular to a third plane, their intersection is perpendicular to that plane.  Solid Geometry - Page 362by William Betz, Harrison Emmett Webb - 1916 - 178 pagesFull view - About this book
 | Sophia Foster Richardson - Geometry, Solid - 1914 - 236 pages
...line perpendicular to the other plane. SOLID GEOMETRY 123. THEOREM. If two intersecting planes are perpendicular to a third plane, their intersection is perpendicular to that plane. Given ma plane ; m, and m2 two planes intersecting in line I and both _L m. To prove I _L m. Proof. 1. Through... | |
 | University of Calcutta - 1914 - 404 pages
...perpendicular to a plane, any plane passing through the perpendicular is also perpendicular to the given plane. If two intersecting planes are each perpendicular to a third plane, their line of section is also perpendicular to that plane. . In a tri-hedral angle, the sum of any two of... | |
 | University of Calcutta - 1914 - 430 pages
...perpendicular to a plane, any plane passing through the perpendicular is also perpendicular to the given plane. If two intersecting planes are each perpendicular to a third plane, their line of section is also perpendicular to that plane. In a tri-hedral angle, the sum of any two of the... | |
 | George Wentworth, David Eugene Smith - Trigonometry - 1915 - 388 pages
...perpendicular to plane AOC, (Because Л C is given as a right angle.) .'. BD is perpendicular to plane А OC. (If two intersecting planes are each perpendicular to a third plane, their intersection is also perpendicular to that plane.) .'. BD is perpendicular to 0C and DE. Since cos с = OE = OD cos... | |
 | William Betz - Geometry - 1916 - 536 pages
...compasses, and a ruler, to find a point on the floor directly beneath a point on a nine-foot ceiling. p b a 572. If two intersecting planes are each perpendicular-...prove that a _L R. Proof. 1. From any point in a draw a' _L to the plane R. 2. Then a' lies in P, and also in Q. § 571 3. .'. «' is the intersection of... | |
 | 1916 - 466 pages
...Define locus of a point. Find the locus of the midpoint of a SOLID GEOMETRY (Omit one.) 1. Prove that if two intersecting planes are each perpendicular to a third plane their intersection is also perpendicular to that plane. 2. Show that not more than five regular convex polyhedrons are possible.... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1918 - 486 pages
...length of AF, if plane CE J. plane MN, AB -L CD, AB = m in., and BF= n in. PROPOSITION XIX. THEOREM 532. If two intersecting planes are each perpendicular...intersection is perpendicular to that plane. Given the planes PQ and HA _L plane MN, and intersecting in AB. To prove AB _L plane MN. Proof. At A draw a straight... | |
 | Eugene Randolph Smith, William Henry Metzler - Geometry, Solid - 1918 - 232 pages
...in that plane, and if the line and the plane are both perpendicular to the same plane. 74. COR. 2. If two intersecting planes are each perpendicular...their intersection is perpendicular to that plane. What is known of a perpendicular to the third plane through any point of the given intersection? 41.... | |
 | Mabel Sykes, Clarence Elmer Comstock - Geometry, Modern - 1918 - 576 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. A/\ Pic. 33 Hypothesis: Planes P and Q _L plane M. Planes P and Q intersect in line AB. Conclusion:... | |
 | United States. Office of Education - 1921 - 1286 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. 13. The sections of a prism made by parallel planes cutting all the... | |
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