 If a straight line is parallel to a plane, the intersection of the plane with any plane passed through the given line is parallel to that line. Let...  Solid Geometry - Page 312by Clara Avis Hart, Daniel D. Feldman, Virgil Snyder - 1912 - 188 pagesFull view - About this book
 | Edward Albert Bowser - Geometry - 1890 - 414 pages
...planes JL to the same st. line AB. But this is impossible. .-. MN is || to PQ. 7 (506) QED 517. COR. 1. If a straight line is parallel to a plane, the intersection of the plane with any plane passed through the line is parallel to the line. Let the student show this. 518. COR. 2. If a straight... | |
 | Webster Wells - Geometry - 1894 - 400 pages
...Then AB and MN cannot meet, and are parallel (§ 397). PROPOSITION X. THEOREM. 415. If a straii/lit line is parallel to a plane, the intersection of the plane with any plane drawn through the line is parallel to the line. -V TB Let the line AB be parallel to the plane MN;... | |
 | Andrew Wheeler Phillips, Irving Fisher - Geometry - 1896 - 570 pages
...Parallel lines AB and CD intercepted between parallel planes are equal. PROPOSITION VII. THEOREM ,l»40. If a straight line is parallel to a plane, the intersection of the plane with a plane passed through thc line is parallel to the line. GIVEN — the line BA parallel to the plane... | |
 | Andrew Wheeler Phillips, Irving Fisher - Geometry - 1897 - 376 pages
...Parallel lines AB and CD intercepted between parallel planes are equal. PROPOSITION VII. THEOREM . 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. GIVEN— the line BA parallel to the plane... | |
 | George Albert Wentworth - Geometry, Solid - 1899 - 246 pages
...passing through O and II to each of the lines AB and CD. § 522 D' N PROPOSITION IX. THEOREM. 525. If a straight line is parallel to a plane, the intersection of the plane with any plane passed through the given line is parallel to that line. Let the line AB be parallel to the plane MN,... | |
 | George Albert Wentworth - Geometry - 1899 - 498 pages
...passing through O and II to each of the lines AB and CD. § 522 M D' IT PROPOSITION IX. THEOREM. 525. If a straight line is parallel to a plane, the intersection of the plane with any plane passed through the given line is parallel to that line. Let the line AB be parallel to the plane MN,... | |
 | Webster Wells - Geometry - 1899 - 424 pages
...it cannot meet CD (§ 52). Then AB and MN cannot meet, and are II (§ 397). PROP. IX. THEOREM. 412. 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. Given line AB II to plane MN; and line CD the intersection... | |
 | George Albert Wentworth - Geometry, Solid - 1902 - 246 pages
...through 0 and II to each of the lines AB and CD. § 522 PROPOSITION IX. THEOREM. ij./H \ v'W »' \ 525. If a straight line is parallel to a plane, the intersection of the plane with any plane passed through the given line is parallel to that line. Let the line AB be parallel to the plane MN,... | |
 | George Albert Wentworth - Geometry - 1904 - 496 pages
...through O and II to each of the lines AB and CD. § 522 , . /B'\ ^ 4A. \ PROPOSITION IX. THEOREM. 525. If a straight line is parallel to a plane, the intersection of the plane with any plane passed through the given line is parallel to that line. Let the line AB be parallel to the plane MN,... | |
 | 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 can be... | |
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