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" If two intersecting planes are each perpendicular to a third plane, their intersection is also perpendicular to that plane. "
The Reorganization of Mathematics in Secondary Education: A Report of the ... - Page 61
by National Committee on Mathematical Requirements - 1923 - 650 pages
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Elements of Geometry and Trigonometry

Adrien Marie Legendre - Geometry - 1863 - 464 pages
...which is impossible (P. IV., C. 2). PROPOSITION XVIII. THEOREM. If two planes cut each other, and are perpendicular to a third plane, their intersection is also perpendicular to that plane. Let the planes BF, DH, be perpendicular to MN : then will their intersection AP be perpendicular to...
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A Treatise on Elementary Geometry: With Appendices Containing a Collection ...

William Chauvenet - Geometry - 1871 - 380 pages
...number of planes can be passed through it perpendicular to MN(47). PROPOSITION XX.— THEOREM. 53. If two intersecting planes are each perpendicular...intersection is also perpendicular to that plane. Let the planes PQ, US, intersecting in the line AB, be perpendicular to the plane MN; then, AB is perpendicular...
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A Treatise on Elementary Geometry: With Appendices Containing a Collection ...

William Chauvenet - Geometry - 1872 - 382 pages
...number of planes can be passed through it perpendicular to MN (47). PROPOSITION XX.—THEOREM. 53. If two intersecting planes are each perpendicular...intersection is also perpendicular to that plane. Let the planes PQ, US, intersecting in the line AB, be perpendicular to the plane MN; then, AB is perpendicular...
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A Treatise on Elementary Geometry: With Appendices Containing a Collection ...

William Chauvenet - Mathematics - 1872 - 382 pages
...number of planes can be passed through it perpendicular to MN (47). PROPOSITION XX.— THEOREM. 53. If two intersecting planes are each perpendicular...plane, their intersection is also perpendicular to tliat plane. Let the planes PQ, US, intersecting in the line AB, be perpendicular to the plum: MN;...
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Elements of Geometry and Trigonometry from the Works of A.M. Legendre ...

Charles Davies - Geometry - 1872 - 464 pages
...which is impossible (P. IV., C. 2). PROPOSITION XVIII. THEOREM. If ttvo planes cut each other, and are perpendicular to a third plane, their intersection is also perpendicular to that plane. Let the planes BF, DH, be perpendicular to MN: then will their intersection AP be perpendicular to...
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Elements of Geometry and Trigonometry: From the Works of A.M. Legendre

Adrien Marie Legendre - Geometry - 1874 - 500 pages
...which is impossible (P. IV., C. 2). PROPOSITION XV 111. THEOREM. If two planes cut each other, and are perpendicular to a third plane, their intersection is also perpendicular to that plane. Let the planes HF, DH, be perpendicular to MN : then will their intersection AP be perpendicular to...
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Elements of Plane and Solid Geometry

George Albert Wentworth - Geometry - 1877 - 436 pages
...perpendicular to the given plane. SOLID ANGLES. PROPOSITION XIX. THEOREM. 475. If two intersecting planes be each perpendicular to a third plane, their intersection is also perpendicular to that plane. 7 Let the planes BD and B С intersecting in the line AB be perpendicular to the plane PQ. We are to...
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Elements of Plane and Solid Geometry

George Albert Wentworth - Geometry - 1877 - 416 pages
...perpendicular to the given plane. SOLID ANGLES. PROPOSITION XIX. THEOREM. 475. Jf two intersecting planes be each perpendicular to a third plane, their intersection is also perpendicular to that pfane. 7 Let the planes BD and B С intersecting in the line AB be perpendicular to the plane PQ. We...
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A Treatise on Elementary Geometry, with Appendices Containing a Collection ...

William Chauvenet - Geometry - 1879 - 380 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 aho perpendicular to that plane. Let the planes PQ, JRS, intersecting in the line AB, be perpendicular...
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Elements of Geometry and Trigonometry from the Works of A.M. Legendre ...

Charles Davies, Adrien Marie Legendre - Geometry - 1885 - 538 pages
...which is impossible (P. IV., C. 2). PROPOSITION XVIII. THEOREM. If two planes cut each other, and are perpendicular to a third plane, their intersection is also perpendicular to that plane. Let the planes BF, DH, be perpendicular to MN : then is their intersection AP perpendicular to MN....
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