 C'D' is any line of the plane PQ perpendicular to AB, it follows that PQ is perpendicular to MN. § 262 265. Theorem X. If each of two intersecting planes is perpendicular to a third plane, their line of intersection is perpendicular to the third plane.  Elements of Descriptive Geometry - Page 65by George Frederick Blessing, Lewis Andrew Darling - 1912 - 219 pagesFull view - About this book
 | Robert Fowler Leighton - 1877 - 372 pages
...parallelepiped ? How many edges ? How is the angle between two planes measured ? 2. Prove that if two planes are perpendicular to a third plane, their line of intersection is also perpendicular to the third plane. .. 3. Prove that the section of a pyramid made by a plane parallel... | |
 | William C. Bartol - Geometry, Solid - 1893 - 112 pages
...the plane MN, at B in the intersection, lies in the plane PQ perpendicular to MN. 34. COROLLARY 3. If two intersecting planes are perpendicular to a third plane, their line of intersection will also be perpendicular to the third plane. Thus, as we see, the line BA drawn perpendicular to... | |
 | William C. Bartol - Geometry, Solid - 1893 - 106 pages
...MN, at B in the intersection, lies in the plane PQ perpendicular to MIST. 34. COROLLARY 3. If tivo intersecting planes are perpendicular to a third plane, their line of intersection will also be perpendicular to the third plane. Thus, as we see, the line BA drawn perpendicular to... | |
 | Alan Sanders - Geometry - 1903 - 396 pages
...A_ to BY.'] SANDERS' GEOM. — 18 PROPOSITION XX. THEOREM 872. // two intersecting planes are each perpendicular to a third plane, their line of intersection is perpendicular to that plane. M 7 Let the intersecting planes AB and CD be _L to MN. To Prove that their line of intersection is... | |
 | Fletcher Durell - Geometry, Solid - 1904 - 232 pages
...515). > BOOK VI. SOLID GEOMETRY PROPOSITION XIX. THEOREM 560. If tivo intersecting planes are each perpendicular to a third plane, their line of intersection is perpendicular to the third plane. Given the planes PQ and RS _L plane MN, and intersecting in the line AB. To prove... | |
 | Fletcher Durell - Geometry - 1911 - 553 pages
...(Art. 515). BOOK VI, SOLID GEOMETRY PROPOSITION XIX. THEOREM 560* If two intersecting planes are each perpendicular to a third plane, their line of intersection is perpendicular to the third plane. Given the planes PQ and R8 1. plane MN, and intersecting in the line AB. To prove... | |
 | Elmer Adelbert Lyman - Geometry - 1908 - 364 pages
...containing the straight line is perpendicular to the plane. 515. If two intersecting planes' are each perpendicular to a third plane, their line of intersection is perpendicular to the third plane. 527. Vertical dihedral angles are equal. If two parallel planes are cut by a third... | |
 | Walter Burton Ford, Charles Ammerman - Geometry, Solid - 1913 - 184 pages
...follows that PQ is perpendicular to MN. § 262 265. Theorem X. If each of two intersecting planes is perpendicular to a third plane, their line of intersection is perpendicular to the third plane. FIG. 180 Given the planes PQ and RS perpendicular to plane MN and intersecting each... | |
 | Walter Burton Ford, Charles Ammerman - Geometry, Plane - 1913 - 376 pages
...follows that PQ is perpendicular to MN. § 262 226 265. Theorem X. If each of two intersecting planes is perpendicular to a third plane, their line of intersection is perpendicular to the third plane. FIG. 180 Given the planes PQ and RS perpendicular to plane MN and intersecting each... | |
 | John Charles Stone, James Franklin Millis - Geometry, Solid - 1916 - 196 pages
...line-segment that can be drawn between the lines. 335. Theorem. — If each of two intersecting planes is perpendicular to a third plane, their line of intersection is perpendicular to that plane. B Hypothesis. Plane PQ±- plane MN; plane RS± plane MN; and planes PQ and RS intersect in line AB,... | |
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