 | William James Milne - Geometry - 1899 - 396 pages
...direction with reference to the plane? Theorem. 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. Data : Any two straight lines, as AB and CD, intersecting at E; MN, the plane of these... | |
 | Webster Wells - Geometry - 1899 - 180 pages
...the line can be drawn.] (§25) Then only one _L can be drawn to MN at P. 400. Cor. I. A straight line perpendicular to each of two straight lines at their point of intersection is perpendicular to their plane. 401. Cor. I. Since E is any point in plane MS, it follows that If... | |
 | Education - 1901 - 814 pages
...division octaedron, oblique prism, generatrix, spheric segment, polyedron, lune. 2 Prove that a line perpendicular to each of two straight lines at their point of intersection is perpendicular to the plane of those lines. 3 Prove that if two intersecting planes are each perpendicular... | |
 | Webster Wells - Geometry - 1899 - 196 pages
...line can be drawn.] -(§26) Then only one _L can be drawn to MN at P. 400. Cor. I. A straight line perpendicular to each of two straight lines at their point of intersection is perpendicular to their plane. 401. Cor. II. Since E is any point in plane ES, it follows that If... | |
 | Thomas Franklin Holgate - Geometry - 1901 - 462 pages
...STRAIGHT LINES PERPENDICULAR TO PLANES. (1) If a straight line is perpendicular to each of two given straight lines at their point of intersection, it is perpendicular to the plane of these lines. § 397. (2) At any point of a straight line one plane can be constructed perpendicular to that line,... | |
 | Thomas Franklin Holgate - Geometry - 1901 - 462 pages
...LINES AND PLANES IN SPACE PROPOSITION IV 397. If a straight line is perpendicular to each of two given straight lines at their point of intersection, it is perpendicular to the plane of those lines. Let the straight line AO be perpendicular to both the straight lines BO and CO at their... | |
 | Eldred John Brooksmith - Mathematics - 1901 - 368 pages
...spire being at the same level, determine the height of the spire. 7. Prove that a straight line which is perpendicular to each of two straight lines at their point of intersection is perpendicular to the plane containing them. 8. Prove that, if each of the edges of a tetrahedron... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1902 - 394 pages
...they may be produced. PROPOSITION II. THEOREM 461. 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. Hyp. AB is -l. to BC and BD at B. To prove AB is -l. to the plane MN containing BC and... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1901 - 396 pages
...they may be produced. PROPOSITION II. THEOREM 461. 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. Hyp. AB is J. to BC and BD at B. To prove AB is J. to the plane MN containing BC and BD.... | |
 | International Correspondence Schools - Sheet-metal work - 1901 - 578 pages
...PR is a right angle, it can be proved that O PS is also a right angle. Hence, a straight line that is perpendicular to each of two straight lines at their point of intersection is perpendicular to t he plane containing those lines. 11. Two planes that can never meet, no matter... | |
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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. 
