| Arthur Schultze, Frank Louis Sevenoak - Geometry - 1901 - 370 pages
...parallelogram, and AC = AC'. .: A ABC = A A'B'C". LINES AND PLANES IN SPACE PROPOSITION VI. THEOREM 469. **If one of two parallel lines is perpendicular to a plane, the other** is also perpendicular to the plane. Hyp. AB is || to CD, and AB is -L to plane MN. To prove CD is J-... | |
| George Albert Wentworth - Geometry, Solid - 1902 - 248 pages
...are both J_ to BD. Therefore, AB and CD are parallel. § 508 § 492 § 501 § 104 QED 520. COR. 1. **If one of two parallel lines is perpendicular to a plane, the other** is also perpendicular to the plane. For if through any point O of CD a line is A c drawn J_ to MN,... | |
| Fletcher Durell - Geometry, Solid - 1904 - 232 pages
...are in the same plan**. But AB and CD are ± and CD are (Why?) Art. 505. Art. 121. QED 525. COR. 1. **If one of two parallel lines is perpendicular to a plane, the other** is perpendicular to the plane also. For, if AB and CD be ||. and AB J. plane PQ, a line drawn from... | |
| Fletcher Durell - Geometry - 1911 - 553 pages
...plane. (Why?) But AB and CD are J_ 727). Art. 505. /. AB and CD are ||. Art. 121. QE D, 525, COR. 1. **If one of two parallel lines -is perpendicular to a plane, the** oilier ix perpendicular to the plane also. For, if AB and CD be ||, and AB _L Plane P#, a line drawn... | |
| Isaac Newton Failor - Geometry - 1906 - 431 pages
...the extremities of a given straight line ? SOLID GEOMETRY — BOOK VI PROPOSITION VIII. THEOREM 534 **If one of two parallel lines is perpendicular to a plane, the other** is also perpendicular to the plane. N HYPOTHESIS. AB is || to CD, and AB is _L to the plane MN at B.... | |
| Isaac Newton Failor - Geometry - 1906 - 440 pages
...the extremities of a given straight line ? SOLID GEOMETRY— BOOK VI PROPOSITION VIII. THEOREM 534 **If one of two parallel lines is perpendicular to a plane, the other** is also perpendicular to the plane. § 117 HYPOTHESIS. AB is || to CD, and AB is -L to the plane MH... | |
| Wisconsin. Department of Public Instruction - Education - 1906 - 124 pages
...any point in the perpendicular, the line so drawn is perpendicular to • the line of the plane. 9. **If one of two parallel lines is perpendicular to a plane the other** is also. 10. Two lines perpendicular to the same plane are parallel. Cor. Two straight lines both parallel... | |
| Webster Wells - Geometry - 1908 - 338 pages
...line drawn in the plane through its foot] (§ 350) 9. Then, AB II CD. SOLID GEOMETRY — BOOK VI 369. **If one of two parallel lines is perpendicular to a plane, the other** is aluo perpendicular to the plane. Let lines AB and CD be II, and AB Jto plane MN. Since two J§ to... | |
| Webster Wells - 1909 - 152 pages
...with any plane drawn through the line is parallel to the line.) § 362. 4. Hence plane DGHA _L BC. **(If one of two parallel lines is perpendicular to a plane, the other** is also perpendicular to the plane.) § 369. 5. Then, HALBC. (All the perpendiculars to a straight... | |
| Herbert Ellsworth Slaught, Nels Johann Lennes - Geometry, Solid - 1911 - 208 pages
...PARALLELS. 27. THEOREM. If two lines are perpendicular to the same plane, they are parallel. CONVERSELY. **If one of two parallel lines is perpendicular to a plane, the other** is also. Given : (1) AB and CD each -L to the plane M. To prove that AB II CD. Proof : Draw BD and... | |
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