 | 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... | |
 | Charles Davison - Geometry, Solid - 1905 - 140 pages
...LINES PERPENDICULAR TO PLANES. 9. PROP. 8. If a straight line be perpendicular to each of two other straight lines at their point of intersection, it is perpendicular to the plane containing them*. Let OA be perpendicular to each of the lines OB, OC at their point of intersection... | |
 | 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... | |
 | 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... | |
 | 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... | |
 | 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 - 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... | |
 | 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... | |
 | 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 JL... | |
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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. 
