 | Examinations - 1893 - 408 pages
...angle of a diedral angle, tangent plane, surface vf revolution, oblique prism, sphere. 15 2 Prove that if a straight line is perpendicular to each of two...intersection, it is perpendicular to the plane of the two lines. 1 8 3 Prove that the sum of the face angles of any convex polyedral angle is less than... | |
 | 1893 - 760 pages
...Shew that similar triangles are to one another in the duplicate ratio of corresponding medians. 4. If a straight line is perpendicular to each of two straight lines at their point of intersection, it shall also be perpendicular to the plane in which they lie. The locus of points equidistant from two... | |
 | William C. Bartol - Geometry, Solid - 1893 - 106 pages
...passed perpendicular to the line. PROPOSITION IV. 16. THEOREM. If a line is perpendicular to each of two lines at their point of intersection, it is perpendicular to the plane of the two lines. By our hypothesis BG and BD are perpendiculars to AB, at a common point B ; therefore... | |
 | Webster Wells - Geometry - 1894 - 400 pages
...drawn.] (§ 28.) Hence, but one perpendicular 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. From a given point without a plane, one perpendicular... | |
 | United States. War Department - 1896 - 1256 pages
...between the secant and its external segment. [Weight, 2.] 3. If a straight line is perpendicular to two straight lines at their point of intersection it is perpendicular to the plane of those lines. [Weight, 4.] 4. Given an equilateral triangle inscribed in a circle, and a similar circumscribed triangle;... | |
 | 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 GC and GD... | |
 | 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 divided proportionally;... | |
 | 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 divided proportionally... | |
| |
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. 
