| David Eugene Smith - Geometry, Solid - 1924 - 256 pages
...Proposition 2. Perpendicular to a Plane 37. Theorem. 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. Given AO _L to OP and OR at O, and m, the plane of OP and OR. Prove that AO is _L... | |
| College Entrance Examination Board - Universities and colleges - 1924 - 126 pages
...Omit one question. Take ic = 3. 14. 1. Prove: 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. 2. Prove: In a circular cone a section made by a plane parallel to the base is a... | |
| Baltimore (Md.). Department of Education - Mathematics - 1924 - 182 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... | |
| National Committee on Mathematical Requirements - Mathematics - 1927 - 208 pages
...they intersect in a straight line, [1, cd] 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. [2*, cd*] 3. Every perpendicular to a given line at a given point lies in a plane... | |
| Research & Education Association Editors, Ernest Woodward - Mathematics - 2012 - 1080 pages
...point P (L2) . Now, L _L L. at P and L _L L2 at P. But, if a line is perpendicular to 2 intersecting **lines at their point of intersection, it is perpendicular to the plane** containing the 2 lines. Hence, L is perpendicular to the plane containing L^ and L2 at the point P.... | |
| University of New Zealand - 1904 - 360 pages
...straight line. Through three points not collinear only one plane can be drawn. If a straight line be **perpendicular to each of two straight lines at their...point of intersection it is perpendicular to the plane** passing through them. All normals to the same plane are parallel to one another. The projection of... | |
| University of St. Andrews - 1900 - 670 pages
...equal to OQ ; show that BP is equal to CQ. 12. Prove that, if a straight line stand at right angles **to each of two straight lines at their point of intersection, it is** at right angles to the plane which passes through them — that is, to the plane in which they are.... | |
| University of Bombay - 1903 - 1170 pages
...CONIC SECTIONS. 1. If a straight line be perpendicular to each of two intersecting straight 10 liues **at their point of intersection, it is perpendicular to the plane in which** they are. If perpendiculars to two faces of a tetrahedron from opposite vertices intersect, prove that... | |
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