| Arthur Latham Baker - Geometry, Solid - 1893 - 148 pages
...only one plane can contain a straight line and a point without, § 5. PROPOSITION II. THEOREM. 15. **If a straight line is perpendicular to each of two...point of intersection it is perpendicular to the plane** of those lines. Notation. Let m and n be two straight lines which determine the plane M, and p another... | |
| William Chauvenet - 1893 - 340 pages
...the plane at the greater distance from the foot of the perpendicular. PROPOSITION IV.—THEOREM. 10. **If a straight line is perpendicular to each of two...of intersection, it is perpendicular to the plane** of those lines. Let AP be perpendicular to PB and PC, at their intersection P; then AP is perpendicular... | |
| 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 - 1258 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... | |
| George Albert Wentworth - Geometry - 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 - 370 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...of intersection, it is perpendicular to the plane** of those lines. GIVEN—the Straight line BG perpendicular to each of the two intersecting straight... | |
| 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... | |
| 1898 - 868 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...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 solve two... | |
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