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" Theorem: If a straight line is perpendicular to one of two parallel planes, it is perpendicular, also, to the other plane. "
The Elements of Solid Geometry - Page 6
by William C. Bartol - 1893 - 95 pages
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Plane and Solid Geometry

Wooster Woodruff Beman, David Eugene Smith - Geometry - 1895 - 346 pages
...615. If each of two intersecting lines is parallel to a plane, so is the plane of those lines. 616. If a straight line is perpendicular to one of two parallel planes, it is to the other. 617. Two planes, each parallel to a third plane, are parallel to each other. 618. Ex....
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Elements of Geometry

Andrew Wheeler Phillips, Irving Fisher - Geometry - 1896 - 554 pages
...through a intersecting b and c in straight lines perpendicular to a. PROPOSITION XIII. THEOREM 561. If a straight line is perpendicular to one of two parallel planes, it is perpendicular to the other. GIVEN — the parallel planes J/TVand PQ, and the line AB perpendicular to MN at A. To PROVE AB perpendicular...
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Elements of Geometry

Andrew Wheeler Phillips, Irving Fisher - Geometry - 1897 - 376 pages
...Pass two planes through a intersecting b and c in straight lines perpendicular to a. PROPOSITION XIII. THEOREM . If a straight line is perpendicular to one...parallel planes, it is perpendicular to the other. GIVEN — the parallel planes J/^Vand PQ, and the line AB perpendicular to MN at A. To PROVE AB perpendicular...
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Elements of Geometry

Andrew Wheeler Phillips, Irving Fisher - Geometry - 1896 - 574 pages
...through a intersecting b and c in straight lines perpendicular to a. PROPOSITION XIII. THEOREM 361. If a straight line is perpendicular to one of two parallel planes, it is perpendicular to the other. GIVEN. — the parallel planes MN and PQ, and the line AB perpendicular to MN at A. To PROVE AB perpendicular...
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Entrance Examinations in Mathematics, 1884 to 1898 [with Supplements to 1900]

Yale University - 1898 - 212 pages
...whose elements touch the sphere ; find the surface and volume of the cone. SEPTEMBER 1892. Soum. 1. (a) If a straight line is perpendicular to one of two parallel planes, it is perpendicular to the other, (b) All planes through a line perpendicular to a plane, are perpendicular to that plane. 2. Rectangular...
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Yale University Entrance Examinations in Mathematics: 1884 to 1898

Mathematics - 1898 - 228 pages
...elements touch the sphere ; find the surface and volume of the cone. SBPTBMBBR 1892. Sou1>. 1. (a) If a straight line is perpendicular to one of two parallel planes, it is perpendicular to the other, (b) All planes through a line perpendicular to a plane, are perpendicular to that plane. 2. Rectangular...
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Plane Geometry

William James Milne - Geometry, Modern - 1899 - 258 pages
...to one of them. What is the direction of the transversal with reference to the other parallel line? Theorem. If a straight line is perpendicular to one of two parallel straight lines, it is perpendicular to the other. E Data: Any two parallel straight lines, as AB and...
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Plane and Solid Geometry

William James Milne - Geometry - 1899 - 396 pages
...to one of them. What is the direction of the transversal with reference to the other parallel line? Theorem. If a straight line is perpendicular to one of two parallel straight lines, it is perpendicular to the other. F Data: Any two parallel straight lines, as AB and...
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Elements of Plane and Solid Geometry

Alan Sanders - Geometry - 1903 - 392 pages
...MN, and they cannot meet, otherwise the planes AB and CD would meet. PROPOSITION XL THEOREM 840. If a line is perpendicular to one of two parallel planes, it is perpendicular to the other also. Let AB and CD be two parallel planes and EF be _L to AB. B To Prove EF _L to CO. Proof. Pass any two planes...
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Elements of Plane and Solid Geometry

Alan Sanders - Geometry - 1903 - 396 pages
...the planes AB and CD would meet. .-. EF and GH are parallel. QED, PROPOSITION XI. THEOREM 840. If a line is perpendicular to one of two parallel planes, it is perpendicular to tJie other also. Let AB and CD be two parallel planes and EF be J. to AB. B To Prove EF _L to CD. Proof....
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