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 Books Books 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
Full view - About this book ## 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...
Full view - About this book ## 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...
Full view - About this book ## 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...
Full view - About this book ## 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...
Full view - About this book ## 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,...
Full view - About this book ## 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...
Full view - About this book ## 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...
Full view - About this book ## 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...
Full view - About this book ## Plane and Solid Geometry

Seth Thayer Stewart - Geometry, Plane - 1891 - 406 pages
...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...
Full view - About this book ## A Text-book of Geometry

George Albert Wentworth - Geometry - 1892 - 437 pages
...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...
Full view - About this book