 | 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.... | |
 | 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... | |
 | Andrew Wheeler Phillips, Irving Fisher - Geometry - 1896 - 574 pages
...Parallel lines AB and CD intercepted between parallel planes are equal. PROPOSITION VII. THEOREM 346. If a straight line is parallel to a plane, the intersection...BF passing through BA and intersecting MN in EF. To PROVE BA parallel to EF. These lines lie in the same plane. They cannot meet, for BA cannot meet the... | |
 | 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...the line. GIVEN— the line BA parallel to the plane J/TVand a plane BF passing through BA and intersecting MN in EF. To PROVE BA parallel to EF. These... | |
 | Andrew Wheeler Phillips, Irving Fisher - Geometry, Modern - 1898 - 324 pages
...parallel. Since the planes MN and PQ cannot meet, .the lines AC and BD lying in them cannot meet.Moreover these lines lie in the same plane AD. Therefore they...cannot meet, for BA cannot meet the plane MN in which £.Flies. Therefore they are parallel. § 31 GEOMETRY OF SPACE 547, COR. If two intersecting straight... | |
 | 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... | |
 | 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... | |
 | 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... | |
 | 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... | |
 | 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... | |
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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. 
