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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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School Science and Mathematics, Volume 19

Education - 1919 - 924 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...
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School Science and Mathematics, Volume 19

Education - 1919 - 960 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...
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Examinations Papers

1907 - 798 pages
...the base and that contained by the sides of the triangle. 7. If a straight line be at right angles to each of two straight lines at their point of intersection, it is perpendicular to the plane in which they lie. AS and BC are two straight lines at right angles, and AP is a straight line at right...
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Mathematical Papers for Admission Into the Royal Military Academy and the ...

Royal Military Academy, Woolwich - Mathematics - 1909 - 456 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 8. Prove that, if each of the edges of a tetrahedron...
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The Teaching of Geometry

David Eugene Smith - Geometry - 1911 - 358 pages
...geometry, as will frequently be seen. 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. If students have trouble in visualizing the figure in three dimensions, some knitting...
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The Teaching of Mathematics in the United Kingdom

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...
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Special Reports on Educational Subjects, Volumes 26-27

Great Britain. Board of Education - Education - 1912 - 1044 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...
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Solid Geometry

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 FB...
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Elements of Solid Geometry

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...
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Schultze and Sevenoak's Plane and Solid Geometry

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. Proof....
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