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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

Wooster Woodruff Beman, David Eugene Smith - 1895 - 344 σελίδες
...same plane T. 2. And they cannot meet, because M II N. 3. .'. they are parallel by def. COEOLLAKY. A line perpendicular to one of- two parallel planes is perpendicular to the other. Pass two planes through that line and apply th. 23 and the def. of a plane _L to a line. EXERCISES....

Plane and Solid Geometry

Wooster Woodruff Beman, David Eugene Smith - 1895 - 346 σελίδες
...same plane T. 2. And they cannot meet, because M II N. 3. .'. they are parallel by def. COROLLARY. A line perpendicular to one of two parallel planes is perpendicular to the other. Pass two planes through that line and apply th. 23 and the def. of a plane J_ to a line. EXERCISES....

Syllabus of Geometry

George Albert Wentworth - 1896 - 68 σελίδες
...between parallel planes are equal. 494. Cor. 2. Two parallel planes are everywhere equally distant. 495. A straight line perpendicular to one of two parallel planes is perpendicular to the other. 496. Cor. 1. Through a given point one plane, and only one, can be drawn parallel to a given plane....

Elements of Geometry

George Washington Hull - 1897 - 408 σελίδες
...point in the plane is equally distant from the extremities of the line. PROPOSITION XVI. THEOREM. 395. A straight line perpendicular to one of two parallel planes is perpendicular to the other. Given—AC perpendicular to the plane MN, which is parallel to the plane PQ. To Prove—AC perpendicular...

Plane and Solid Geometry

George Albert Wentworth - 1899 - 500 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. M, , "I \ \ N Let AB be perpendicular to MN and PQ parallel to MN. To prove that AB is perpendicular...

The Essentials of Geometry

Webster Wells - 1899 - 180 σελίδες
...equally distant from it. (Fig. of Prop. IX. Draw lines AC and B1)±MN. To prove PROP. XVI. THEOREM. 423. A straight line perpendicular to one of two parallel planes is perpendicular to the other also. Given MN and PQ II planes, and line AD _L PQ. To Prove AD1.MN. Proof. Pass two planes through AD, intersecting...

Solid Geometry, Τόμοι 6-9

George Albert Wentworth - 1899 - 246 σελίδες
...equal (§ 529). Therefore, nil 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, ! D -IA. Let AB be perpendicular to MW and PQ parallel to MN. To prove that AB is perpendicular...

Plane and Solid Geometry

William James Milne - 1899 - 398 σελίδες
...plane. What is the direction of the plane of these lines with reference to the given plane ? Theorem. A straight line perpendicular to one, of two parallel planes is perpendicular to the other. Data : Any two parallel planes, as MN and PQ, and any straight line perpendicular to MN, as EF. To...

Solid Geometry

Wooster Woodruff Beman, David Eugene Smith - 1903 - 158 σελίδες
...they are in M and -,V respectively, and M II N. 3. .'. they are parallel by definition. COROLLARY. A line perpendicular to one of two parallel planes is perpendicular to the other. Pass two planes through that line and apply prop. XXIV and the def. of a plane -L to a line. Exercises....

Solid Geometry

Wooster Woodruff Beman, David Eugene Smith - 1900 - 160 σελίδες
...they are in M and N respectively, and M II If. 3. .'. they are parallel by definition. COEOLLAEY. A line perpendicular to one of two parallel planes is perpendicular to the other. Pass two planes through that line and apply prop. XXIV and the def. of a plane -L to a line. Exercises....




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