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" If a straight line is perpendicular to each of two other straight lines at their point of intersection, it is perpendicular to the plane of the two lines. "
The Elements of Solid Geometry - Page 4
by William C. Bartol - 1893 - 95 pages
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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. To prove AB _L...
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Schultze and Sevenoak's Plane and Solid Geometry

Arthur Schultze, Frank Louis Sevenoak - Geometry - 1918 - 486 pages
...perpendicular to a line if the line is perpendicular to the plane. PROPOSITION VIII. THEOREM 499. If a straight line is perpendicular to each of two lines at their...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. Proof....
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Plane Geometry

Mabel Sykes, Clarence Elmer Comstock - Geometry, Modern - 1918 - 576 pages
...to Ths. 7 and 8 are left to the pupil. FUNDAMENTAL TEST FOR PERPENDICULARS TO PLANES 16. THEOREM 9. If a line is perpendicular to each of two lines at their intersection, it is perpendicular to all lines that are in their plane and are drawn through their...
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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

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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Solid Geometry, with Problems and Applications

Herbert Ellsworth Slaught, Nels Johann Lennes - Geometry, Solid - 1919 - 240 pages
...one perpendicular to the line. LINE PERPENDICULAR TO THE PLANE OF TWO GIVEN LINES 76. THEOREM III. If a line is perpendicular to each of two lines at...intersection, it is perpendicular to the plane of these lines. Given a line / perpendicular to each of the lines /, and /2 at the point P. To prove that...
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Solid Geometry, with Problems and Applications

Herbert Ellsworth Slaught - Geometry, Solid - 1919 - 244 pages
...line _L 2 at any point A on it. LINE PERPENDICULAR TO THE PLANE OF TWO GIVEN LINES 76. THEOREM III. If a line is perpendicular to each of two lines at...intersection, it is perpendicular to the plane of these lines. Given a line l perpendicular to each of the lines /, and /; at the point P. To prove that...
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Proceedings of the High School Conference of ...

High schools - 1919 - 962 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 freehand sketch on...
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Proceedings of the High School Conference of November 1910-November 1931

High schools - 1919 - 336 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 freehand sketch on...
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Bulletin

Education - 1921 - 1190 pages
...meet, they intersect in a straight line. 2. If a line is perpendicular to each of two intersecting lines at their point of intersection it is perpendicular to the plane of the two lines. 3. Every perpendicular to a given line at a given point lies in a plane perpendicular to the given...
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