 | 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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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. 
