| Mathematics - 1898 - 228 pages
...a polyhedron, a tetrahedron, a prism, a parallelopiped, a pyramid, a cone, a cylinder, a sphere. 2. **If a straight line is perpendicular to each of two...of intersection, it is perpendicular to the plane** of those lines. 3. If a pyramid is cut by a plane parallel to its base, (a) the edges and altitude... | |
| James Howard Gore - Geometry - 1898 - 232 pages
...the plane at the greater distance from the foot of the perpendicular. PROPOSITION III. THEOREM. 337. **If a straight line is perpendicular to each of two...point of intersection it is perpendicular to the plane** of those lines. To prove that BA is perpendicular to EA and hence perpendicular to MN. Make AC equal... | |
| Yale University - 1898 - 212 pages
...a polyhedron, a tetrahedron, a prism, a parallelepiped, a pyramid, a cone, a cylinder, a sphere. 2. **If a straight line is perpendicular to each of two...of intersection, it is perpendicular to the plane** of those lines. 3. If a pyramid is cut by a plane parallel to its base, (a) the edges and altitude... | |
| Education - 1899 - 658 pages
...have boats, we could not cross. GEOMETRY. 1. 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. 2. The radius perpendicular to a chord bisects the chord and the arc subtended bv... | |
| George Albert Wentworth - Geometry, Solid - 1899 - 246 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... | |
| George Albert Wentworth - Geometry - 1899 - 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... | |
| 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... | |
| 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... | |
| Education - 1901 - 818 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 - 178 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... | |
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