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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.
Plane and Solid Geometry: To which is Added Plane and Spherical Trigonometry ... - Page 139
by George Roberts Perkins - 1856 - 235 pages
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## Plane and Solid Geometry

George Albert Wentworth, David Eugene Smith - Geometry - 1913 - 496 pages
...perpendicular to the plane. PROPOSITION II. THEOREM 431. 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 AO perpendicular to the lines OP and OR at 0. To prove that AO is A....
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## Plane and Solid Geometry

George Albert Wentworth, David Eugene Smith - Geometry - 1913 - 496 pages
...perpendicular to the line. PROPOSITION II. THEOREM 431. 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 AO perpendicular to the lines OP and OR at 0. To prove that AO is JL...
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## Plane and Solid Geometry

George Albert Wentworth, David Eugene Smith - Geometry - 1913 - 491 pages
...perpend-icular to the plane. PROPOSITION II. THEOREM 431. 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 AO perpendicular to the lines OP and OR at 0. To prove that AO is...
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## Journal of Education

Education - 1914 - 914 pages
...rectangle contained by the perpendicular and the diameter of the circle described about the triangle. 6. If a straight line is perpendicular to each of two straight lines at their point of intersection, it shall also be perpendicular to the plane in which they lie. 7. If a pyramid is cut by planes drawn...
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## Examination Questions in Mathematics: Third Series, 1911-1915

College Entrance Examination Board - Mathematics - 1915 - 72 pages
...given for more than six questions. 1. Prove: If a straight line is perpendicular to two intersecting straight lines at their point of intersection, it is perpendicular to the plane of those lines. 2. a) Prove: If two intersecting straight lines are parallel to a plane, their plane is...
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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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## 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 these...
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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

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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## 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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