 | Education - 1911 - 946 pages
...[Fl.] 2. A plane containing one and only one of two parallel lines is parallel to the other. [F7.] 3. If a straight line is parallel to a plane, the intersection of the plane with any plane drawn through the line is parallel to the line. [*] 4. Through a given point only one plane... | |
 | Webster Wells - Geometry - 1908 - 336 pages
...perpendicular is equidistant from the circumference. LINES AND PLANES IN SPACE PROP. XI. THEOREM 362. If a straight line is parallel to a plane, the intersection of the plane with any plane drawn through the line is parallel to the line. If Given line a II to plane MN; and b the... | |
 | Webster Wells - 1909 - 154 pages
...perpendiculars to a straight line at a given point lie in a plane perpendicular to the line.) § 353. 3. BC\\EF. (If a straight line is parallel to a plane, the intersection of the plane with any plane drawn through the line is parallel to the line.) § 362. 4. Hence plane DGHA _L BC. (If one... | |
 | United States. Office of Education - 1911 - 1154 pages
...equilateral triangles be grouped about a point to form a convex polyhedral angle? Explain. 3. Prove that if a straight line is parallel to a plane, the intersection of the plane with any plane passing through the given line is parallel to the given line. Group II. 4. Prove that two... | |
 | Education - 1911 - 1030 pages
...equilateral triangles be grouped about a point to form a convex polyhedral angle? Explain. 3. Prove that if a straight line is parallel to a plane, the intersection of the plane with any plane passing through the given line is parallel to the given line. GROUP II. 4. Prove that two... | |
 | Clara Avis Hart, Daniel D. Feldman - Geometry, Solid - 1912 - 220 pages
...CZ), but that some other line through B, as BE, is II GD. Use § 638. PROPOSITION XIV. THEOREM 641. If a straight line is parallel to a plane, the intersection of the plane with any plane passing through the given line is parallel to the given line. Given line AB II plane MN,... | |
 | Clara Avis Hart, Daniel D. Feldman, Virgil Snyder - Geometry, Solid - 1912 - 216 pages
...CD, but that some other line through B, as BE, is II CD. Use § 638. PROPOSITION XIV. THEOREM 641. // a straight line is parallel to a plane, the intersection of the plane with any plane passing through the given line is parallel to the given line. A, .,B Given line AB II plane... | |
 | William Herschel Bruce, Claude Carr Cody - Geometry, Solid - 1912 - 134 pages
...in line CD. § 530 But AB and CD are II and cannot meet. .-. AB II plane MN. QED 545. COR. 1. If a line is parallel to a plane, the intersection of the plane with any plane through the line is parallel to the line. TWO PLANES. PROPOSITION IX. THEOREM. 547. Two planes... | |
| |
If a straight line is parallel to a plane, the intersection of the plane with a plane passed through the line is parallel to the line. 
