| Great Britain. Board of Education - Mathematics - 1912 - 632 pages
...of two similar triangles is equal to the ratio of the squares on corresponding sides. 9. Show that, **if a straight line is perpendicular to each of two...straight lines at their point of intersection, it is** also perpendicular to the plane in which they lie. OXYZis a tetrahedron such that OX = 0Y= OZ, and... | |
| Great Britain. Board of Education - Education - 1912 - 1048 pages
...of two similar triangles is equal tothe ratio of the squares on corresponding sides. 9. Show that, **if a straight line is perpendicular to each of two...straight lines at their point of intersection, it is** also perpendicular to the plane in which they lie. OXYZ is a tetrahedron such that OX = OY = OZ, and... | |
| Clara Avis Hart, Daniel D. Feldman - Geometry, Solid - 1912 - 220 pages
...SOLID GEOMETRY PROPOSITION IV. 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** of those lines. Given str. line FB±AB and to BC at B, and plane MN containing AB and BC. To prove... | |
| William Herschel Bruce, Claude Carr Cody - Geometry, Solid - 1912 - 134 pages
...greater distance from the foot of the perpendicular. PROPOSITION III. THEOKEM. 535. A straight line **perpendicular to each of two - straight lines at their point of intersection** is perpendicular to the plane of those lines. M f Given AB _L BC and BD at B. To prove AB _L MN, the... | |
| 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... | |
| George Albert Wentworth, David Eugene Smith - Geometry - 1913 - 500 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... | |
| Arthur Schultze, Frank Louis Sevenoak - Geometry - 1913 - 486 pages
...plane. SOL7D GEOMETRY 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.... | |
| 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... | |
| 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... | |
| College Entrance Examination Board - Mathematics - 1915 - 60 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... | |
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