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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

## The Normal Elementary Geometry: Embracing a Brief Treatise on Mensuration ...

Edward Brooks - Geometry - 1868 - 275 pages
...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...

## A Treatise on Elementary Geometry: With Appendices Containing a Collection ...

William Chauvenet - Geometry - 1871 - 368 pages
...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...

## A Treatise on Elementary Geometry: With Appendices Containing a Collection ...

William Chauvenet - Geometry - 1872 - 368 pages
...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...

## Manual of Geometry and Conic Sections: With Applications to Trigonometry and ...

William Guy Peck - Conic sections - 1876 - 366 pages
...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...

## The Eclectic School Geometry

Evan Wilhelm Evans - Geometry - 1884 - 149 pages
...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,...

## CHAUVENETS TREATISE ON ELEMENTARY GEOMETRY

W. E. BYERLY - 1887
...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...

## Chauvenet's Treatise on Elementary Geometry

William Chauvenet - Geometry - 1887 - 322 pages
...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...

## The Elements of Plane and Solid Geometry ...

Edward Albert Bowser - Geometry - 1890 - 393 pages
...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...