| George Albert Wentworth - Geometry - 1904 - 496 pages
...SOLID GEOMETRY. PROPOSITION II. THEOREM. 507. 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. Let AB be perpendicular to BC and BD at B. To prove that AB is -L to the plane MN... | |
| Fletcher Durell - Geometry - 1911 - 553 pages
...different planes ? PROPOSITION I. THEOREM 509, If a straight line is perpendicular to each of tivo oilier **straight lines at their point of intersection, it is perpendicular to the plane** of those lines. Given AB JL lines BC and BD, and the plane MN passing through BC and BD. To prove AB... | |
| Fletcher Durell - Geometry, Solid - 1904 - 232 pages
...SOLID GEOMETRY V PROPOSITION I. THEOREM 509. 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 those lines. Given AB _L lines BC and BD, and the plane MN passing through BC and BD. To prove AB... | |
| William Chauvenet - 1905 - 336 pages
...greater distance from the foot of the perpendicular. PROPOSITION IV.—THEOREM. 10. If a strait/hi **line is perpendicular to each of two straight lines...of intersection, it is perpendicular to the plane** of those lines. Let AP be perpendicular to PB and PC, at their intersection P; then .APIs perpendicular... | |
| 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... | |
| 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... | |
| Education - 1919 - 956 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... | |
| 1907 - 796 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 angles... | |
| Royal Military Academy, Woolwich - Mathematics - 1909 - 444 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... | |
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