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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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Solid Geometry Developed by the Syllabus Method

Eugene Randolph Smith - 1918 - 211 σελίδες
...pyramid measures 12 in., and each edge of its square base measures 4 in. Find its total surface. 3S4- A straight line perpendicular to one of two parallel planes is perpendicular to the other also. 335. A right circular cylinder 6 ft. in diameter is equivalent to a right circular cone whose base...

Schultze and Sevenoak's Plane and Solid Geometry

Arthur Schultze, Frank Louis Sevenoak - 1918 - 457 σελίδες
...line AB. To prove MN II PQ. HINT. Apply the indirect method and (503). PROPOSITION XIV. THEOREM 515. A straight line perpendicular to one of two parallel planes is perpendicular to the other also. Given plane MN II plane PQ, and AB _L plane MN. To prove AB _L plane PQ. Proof. Through AB pass any...

Solid Geometry

Mabel Sykes, Clarence Elmer Comstock - 1922 - 218 σελίδες
...plane M and _L plane N. Pass any plane through a intersecting M in line b. Prove b _L N. Ex. 3. A plane perpendicular to one of two parallel planes is perpendicular to the other. Suggestion. Use a construction line. DETERMINATION OF LINES 37. THEOREM 27. If two planes are perpendicular,...

Schultze and Sevenoak's Plane and Solid Geometry

Arthur Schultze, Frank Louis Sevenoak - 1913 - 457 σελίδες
...line AB. To prove MN II PQ. HINT. Apply the indirect method and (603). PROPOSITION XIV. THEOREM 515. A straight line perpendicular to one of two parallel planes is perpendicular to the other also. Proof. Through AB pass any plane intersecting MN in AC and PC in BD, respectively. AC II BD, (483)...

Essentials of Solid Geometry

David Eugene Smith - 1924 - 238 σελίδες
...to n, and hence m and n cannot meet. /. ABis II to CD. Given §3,9 Given §36 §9,1 56. Corollary. A line perpendicular to one of two parallel planes is perpendicular to the other also. Let PQ be _L to m, and let p and q be two planes containing PQ. Now prove (§ 55) that QB is II to...

Texas School Journal, Τόμος 24

1906
...Solid Geometry. (Answer six.) 1. Two straight lines perpendicular to the same plane are parallel. 2. A straight line perpendicular to one of two parallel planes is perpendicular to the other also. 3. The sum of the face angles of any convex polyhedral angle is less than four right triangles. ADVERTISEMENTS...

Joint Documents ... for the Year ..., Μέρος 1

Michigan. Legislature - 1897
...plane one perpendicular can be erected to the plane, and only one. 8. Demonstrate: A line which is perpendicular to one of two parallel planes, is perpendicular to the other also. 9. Demonstrate: The volume of a triangular pyramid is equal to one-third the product of its base and...