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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 - 320 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 - 50 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 - 398 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 - 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. 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 - 395 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 - 218 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 - 384 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
...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 - 139 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....

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. DIEDRAL ANGLES To prove AB is J- to PQ. Proof. Through AB pass any plane intersecting MN in AC and...




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