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" A straight line perpendicular to one of two parallel planes is perpendicular to the other also. "
Plane and Solid Geometry - Σελίδα 250
των Arthur Schultze, Frank Louis Sevenoak - 1902 - 370 σελίδες
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Plane and Solid Geometry

Arthur Schultze, Frank Louis Sevenoak - 1901 - 370 σελίδες
...PROPOSITION XIII. THEOREM 489. Planes perpendicular to the same straight line are parallel to each other. Hyp. Planes MN and PQ are perpendicular to line AB....parallel planes is perpendicular to the other also. Hyp. Plane MNis II to plane PQ, and AB is _L to plane MN, To prov* AB is J. to PQ. Proof. Through AB...

Plane and Solid Geometry

Arthur Schultze, Frank Louis Sevenoak - 1901 - 370 σελίδες
...PROPOSITION XIII. THEOREM 489. Planes perpendicular to the same straight line are parallel to each other. Hyp. Planes MN and PQ are perpendicular to line AB....THEOREM 490. A straight line perpendicular to one of tioo parallel planes is perpendicular to the other also. To prove AB is _L to PQ. Proof. Through AB...

Plane and Solid Geometry

Arthur Schultze - 1901
...each other. Hyp. Planes JOT and PQ are perpendicular to line AB. To prove J/JV is I! to PQ. HIXT. — Apply the indirect method and (98). PROPOSITION' XIV....parallel planes is perpendicular to the other also. DIEDRAL ANGLES To prove AB is _L to PQ. Proof. Through AB pass any plane intersecting MN in AC and...

Solid Geometry, Τόμοι 6-9

George Albert Wentworth - 1902 - 218 σελίδες
...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...

Bulletin

1904
...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....

Plane and Solid Geometry

George Albert Wentworth - 1904 - 473 σελίδες
...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....

PLANE AND SOLID GEOMETRY

FLETCHER DURELL. PH.D. - 1911
...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...

Solid Geometry

Fletcher Durell - 1904 - 206 σελίδες
..._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...

School Science and Mathematics, Τόμος 12

1912
...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...

PLANE AND SOLID GEOMETRY

ISAAC NEWTON FAILOR - 1906
...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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