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" If a straight line is perpendicular to each of two straight lines at their point of intersection, it is perpendicular to the plane of those lines. "
Elements of Geometry: With Practical Applications to Mensuration - Page 170
by Benjamin Greenleaf - 1868 - 320 pages
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Solid Geometry

John Charles Stone, James Franklin Millis - Geometry, Solid - 1916 - 196 pages
...perpendicular. SOLID GEOMETRY 303. Theorem. — If a straight line is perpendicular to each of two intersecting straight lines at their point of intersection, it is perpendicular to the plane determined by them. Hypothesis. Lines CD and EF intersect at 0, and determine plane MN; AB _L CD and...
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Solid Geometry

William Betz, Harrison Emmett Webb - Geometry, Solid - 1916 - 214 pages
...is % called an ellipse. ^Z. Et BOOK VI PEBPEKDICULAE LINES AND PLANES PROPOSITION VI. THEOREM 546. If a straight line is perpendicular to each of two straight lines in a plane, at their point of intersection, it is perpendicular to any line lying in the plane and...
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Register ... Academic ... Department

1916 - 466 pages
...equal to oneSOLID GEOMETRY (Omit one.) 1. Prove that if a line is perpendicular to each of two other lines at their point of intersection it is perpendicular to the plane of the two lines. 2. The line AB cuts 3 parallel planes in the points A, E, B; and the line CD cuts...
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Plane and Solid Geometry

William Betz - Geometry - 1916 - 536 pages
...of a circle is called an ellipse. E\ Pi PEKPENDICULAB LINES AND PLANES PROPOSITION VI. THEOREM 546. If a straight line is perpendicular to each of two straight lines in a plane, at their point of intersection, it is perpendicular to any line lying in the plane and...
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Solid Geometry

Fletcher Durell, Elmer Ellsworth Arnold - Geometry, Solid - 1917 - 220 pages
...SOLID GEOMETRY. BOOK VI PROPOSITION I. THEOREM 440. If a line is perpendicular to each of two other lines at their point of intersection, it is perpendicular to the plane of the two lines. , Given the line AB _L lines BC and BD, and the plane MN passing through BC and BD....
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Solid Geometry

Claude Irwin Palmer - Geometry, Solid - 1918 - 192 pages
...but is not perpendicular to it. 571. Theorem. If a line is perpendicular to each of two intersecting lines at their point of intersection, it is perpendicular to the plane determined by these lines. Given AP -L AB and AD at their point of intersection A, and plane Q determined...
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Schultze and Sevenoak's Plane and Solid Geometry

Arthur Schultze, Frank Louis Sevenoak - Geometry - 1918 - 486 pages
...perpendicular to the plane. PROPOSITION VIII. THEOREM 499. If a straight line is perpendicular to each of two lines at their point of intersection, it is perpendicular to the plane of those lines. Given BC and BD -L AB, and plane MN containing BC and BD. To prove AB -L plane MN....
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Plane and Solid Geometry

Claude Irwin Palmer, Daniel Pomeroy Taylor - Geometry - 1918 - 460 pages
...but is not perpendicular to it. 671. Theorem. If a line is perpendicular to each of two intersecting lines at their point of intersection, it is perpendicular to the plane determined by these lines. Given AP J- AB and AD at their point of intersection A, and plane Q determined...
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Solid Geometry, with Problems and Applications

Herbert Ellsworth Slaught, Nels Johann Lennes - Geometry, Solid - 1919 - 232 pages
...PERPENDICULAR TO THE PLANE OF TWO GIVEN LINES 76. THEOREM III. If a line is perpendicular to each of two lines at their point of intersection, it is perpendicular to the plane of these lines. Given a line I perpendicular to each of the lines /, and lz at the point P. To prove...
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Proceedings of the High School Conference of November 1910-November 1931

High schools - 1919 - 338 pages
...subject, namely a model to illustrate the theorem : If a line is perpendicular to each of two other lines at their point of intersection it is perpendicular to the plane of the two lines. This model is made according to specifications, insuring uniformity, and I make a...
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