 | Edward Brooks - 1868 - 284 σελίδες
...to their intersection is perpendicular to the other. 4. If two planes which cut each other are both perpendicular to a third plane, their intersection is perpendicular to that plane. 6. Prove that through a line parallel to a given plane, only one plane perpendicular to the given plane... | |
 | William Chauvenet - 1871 - 380 σελίδες
...number of planes can be passed through it perpendicular to MN(47). PROPOSITION XX.— THEOREM. 53. If two intersecting planes are each perpendicular to a third plane, their intersection is also perpendicular to that plane. Let the planes PQ, US, intersecting in the line AB, be perpendicular... | |
 | William Chauvenet - 1872 - 382 σελίδες
...number of planes can be passed through it perpendicular to MN (47). PROPOSITION XX.— THEOREM. 53. If two intersecting planes are each perpendicular to a third plane, their intersection is also perpendicular to tliat plane. Let the planes PQ, US, intersecting in the line AB, be perpendicular... | |
 | William Guy Peck - 1876 - 412 σελίδες
...other at a common point, each is perpendicular to the plane of the other two. Cor. 3. If two planes are perpendicular to a third plane, their intersection is perpendicular to that plane. PROPOSITION XV. THEOREM. BOOK VI. Let AOC, COD, and DOA be the lateral angles of the triedral angle... | |
 | Evan Wilhelm Evans - 1884 - 242 σελίδες
...How can you draw a line upon the wall, which will be perpendicular to the floor? THEOREM IX. If two planes are each perpendicular to a third plane, their intersection is perpendicular to that plane. The perpendicular to the plane HO, at the point C, must lie in both the planes, MN and SD(?). Hence,... | |
 | William Chauvenet, William Elwood Byerly - 1887 - 331 σελίδες
...from any point of one plane perpendicular to the other will lie in the first plane. PROPOSITION XVI. If two intersecting planes are each perpendicular to a third plane, their intersection is also perpendicular to that plane. PROPOSITION XVII. Through any given straight line a plane can be... | |
 | William Chauvenet - 1887 - 342 σελίδες
...to the other will lie in the first plane, (v. Proposition III.) PROPOSITION XVI.— THEOREM. 39. Jf two intersecting planes are each perpendicular to a third plane, their intersection is also perpendicular to that plane. Let the planes PQ, ES, intersecting in the lino ^17?. be perpendicular... | |
 | Edward Albert Bowser - 1890 - 414 σελίδες
...planes, which is a straight line. (495) BOOK VI.— PERPENDICULAR PLANES. Proposition 1 8. Theorem. 546. If two intersecting planes are each perpendicular...third plane, their intersection is perpendicular to the third plane. Hyp. Let the planes PQ, RS, intersecting in AB, be J_ to the third plane MN. To prove... | |
 | Seth Thayer Stewart - 1891 - 428 σελίδες
...planes, perpendicular to a third plane, it follows, in general, that : If two intersecting planes are perpendicular to a third plane, their intersection is perpendicular to that plane. PROPOSITION XIII. 447. Theorem : The sum of any two of the three plane angles formed by the edges of... | |
 | George Albert Wentworth - 1892 - 468 σελίδες
...Z. CDE is a right angle, and therefore PAB is _L to MN § 514 QED PROPOSITION XIX. THEOREM. 520. I/ two intersecting planes are each perpendicular to a third plane, their intersection is also perpendicular to that plane. 7 J o Let the planes BD and BC intersecting in the line AB be perpendicular... | |
| |
If two intersecting planes are each perpendicular to a third plane, their intersection is perpendicular to that plane. 
