| George Albert Wentworth - Mathematics - 1896 - 68 pages
...their intersection is a straight line. 472. 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. 473. Every perpendicular that can be drawn to a straight line at a given point lies... | |
| Andrew Wheeler Phillips, Irving Fisher - Geometry - 1897 - 374 pages
...through its foot. In the same case the plane is perpendicular to the line. PROPOSITION III. THEOREM 511. **If a straight line is perpendicular to each of two...intersection, it is perpendicular to the plane of** those lines. GIVEN—the Straight line BG perpendicular to each of the two intersecting straight lines... | |
| Andrew Wheeler Phillips, Irving Fisher - Geometry - 1897 - 376 pages
...through its foot. In the same case the plane is perpendicular to the line. PROPOSITION III. THEOREM 511. **If a straight line is perpendicular to each of two...their point of intersection, it is perpendicular to** Hie plane of those lines. GIVEN — the straight line BG perpendicular to each of the two intersecting... | |
| 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...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 are... | |
| 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...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 are... | |
| 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...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 to... | |
| 1898 - 872 pages
...cut two parallel straight lines in A, B, C and P, Q, R respectively, prove that AS : BC- PQ : QB. 4. **If a straight line is perpendicular to each of two...point of intersection it is perpendicular to the plane** in which they lie. Find the locus of a point equidistant from three given points. II. 1. Shew how to... | |
| 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... | |
| 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 of... | |
| 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 of... | |
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