 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1902 - 394 pages
...A n Hence and J±D siur (Why ?) BC~GF' ~EF = GF' (Why?) AB_DE (Ax. 1.) QED BC ~ EF' SOLID GEOMETRY PROPOSITION XIII. THEOREM 489. Planes perpendicular...the same straight line are parallel to each other. M, Hyp. Planes MN and PQ are perpendicular to line AB. To prove MN is II to PQ. HINT. — Apply the... | |
 | George Albert Wentworth - Geometry, Solid - 1902 - 246 pages
...equal (§ 529). Therefore, till points in MN are equidistant from PQ. PROPOSITION XII. THEOREM. 531. A straight line perpendicular to one of two parallel planes is perpendicular to the other also. M l ~ A ~ \ / h^—f<:.,oj y Let AB be perpendicular to MN and PQ parallel to MN. To prove that AB... | |
 | Fletcher Durell - Geometry, Solid - 1904 - 232 pages
..._L FC and FB. Art. 123. /. FH J. MN. Art. 509. .'. MN || PQ. Art. 530. PROPOSITION XII. THEOREM 535. A straight line perpendicular to one of two parallel planes is perpendicular to the other also. Given the plane MN \\ plane PQ, and AB ± PQ. To prove AB _L MN. Proof. Through AB pass a plane intersecting... | |
 | George Albert Wentworth - Geometry - 1904 - 496 pages
...equal (§ 529). Therefore, all points in MN are equidistant from PQ. PROPOSITION XII. THEOREM. /^531. A straight line perpendicular to one of two parallel planes is perpendicular to the other also. >Q Let AB be perpendicular to MN and PQ parallel to MN. To proce that AB is perpendicular to PQ. Proof.... | |
 | Education - 1904 - 738 pages
...the intersections of two parallel planes division wjtn a third plane are parallel lines. 2 Prove that a straight line perpendicular to one of two parallel planes is perpendicular to the other also. 3 Prove that the sum of any two face angles of a triedral angle is iji eater than the third face angle.... | |
 | Fletcher Durell - Geometry - 1911 - 553 pages
...1 FC and FB. Art. 123. /. FIl 1 MN. Art. 509. BOOK VI. SOLID GEOMETRY PROPOSITION XII. THEOREM 585. A straight line perpendicular to one of two parallel planes is perpendicular to the other also. Given the plane MN \\ plane PQ, and AB _L PQ. To prove AB J. MN. Proof. Through AB pass a plane Intersecting... | |
 | Education - 1912 - 942 pages
...their plane is parallel to that plane. Planes perpendicular to the same straight line are parallel. A straight line perpendicular to one of two parallel planes is perpendicular to the other. Two intersecting planes cannot both be parallel to a third plane. Two planes parallel to a third plane... | |
 | Education - 1912 - 914 pages
...that plane. Proposition 8. Planes perpendicular to the same straight line are parallel. Proposition 9. A straight line perpendicular to one of two parallel planes is perpendicular to the other. Corollary I. Two intersecting planes cannot both be parallel to a third plane. Corollary 2. Two planes... | |
 | Isaac Newton Failor - Geometry - 1906 - 440 pages
...ACDB is a £7 (§ 195), and AC = BD (§ 200). SOLID GEOMETRY — BOOK VI PROPOSITION XII. THEOREM 545 A straight line perpendicular to one of two parallel planes is perpendicular to the other. M V A HYPOTHESIS. MN and PQ are parallel planes, and AB is -L to MN. CONCLUSION AB is -L to PQ. PROOF... | |
 | Isaac Newton Failor - Geometry - 1906 - 431 pages
...ACDB is a a (§ 195), and AC = BD (§ 200). SOLID GEOMETRY — BOOK VI PROPOSITION XII. THEOREM 545 A straight line perpendicular to one of two parallel planes is perpendicular to the other. HYPOTHESIS. MN and PQ are parallel planes, and AB is ± to MN. CONCLUSION. AB is ± to PQ. PROOF Through... | |
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A straight line perpendicular to one of two parallel planes is perpendicular to the other also. 
