 | Clara Avis Hart, Daniel D. Feldman - 1912 - 220 σελίδες
...more parallel planes, their corresponding segments are proportional. PROPOSITION XVII. THEOREM 651. A straight line perpendicular to one of two parallel planes is perpendicular to the other also. A 7^ ^_CL..^ M* E R * B Given plane MN II plane RS and line AB _L plane RS. To prove line AB ± plane... | |
 | William Herschel Bruce, Claude Carr Cody - 1912 - 134 σελίδες
...550. COR. 1. Parallel lines included between parallel planes are equal. PROPOSITION XI. THEOREM. 552. A straight line perpendicular to one of two parallel planes is perpendicular to the other, also. Given MN and PQ, II planes, and AB _L plane PQ. To prove AB ± plane MN. 'Q Proof. Draw BE and BF,... | |
 | George Clinton Shutts - 1912 - 392 σελίδες
...to plane N? Auth. 6. What relation does N bear to M? Auth. Therefore — PROPOSITION XVIII. 476. A line perpendicular to one of two parallel planes is perpendicular to the other. Given plane M II plane N and line a 1Jf at 0. To Prove aLN. Proof. SUG. 1. Through any point in plane... | |
 | Arthur Schultze, Frank Louis Sevenoak - 1913 - 486 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. 320 Proof. Through AB pass any plane intersecting MN in AC and PQ in BD, respectively. AC II BD, (483)... | |
 | George Albert Wentworth, David Eugene Smith - 1913 - 491 σελίδες
...2. Two parallel planes are everywhere equidistant from each other. PROPOSITION XI. THEOREM 456. A. line perpendicular to one of two parallel planes is perpendicular to the other also. M, v Given the line AB perpendicular to the plane MAT, and the plane PQ parallel to the plane MN. To... | |
 | George Albert Wentworth, David Eugene Smith - 1913 - 496 σελίδες
...COROLLARY 2. Two parallel planes are everywhere equidistant from each other. PROPOSITION XL THEOREM 456. A line perpendicular to one of two parallel planes is perpendicular to the other also. Given the line AB perpendicular to the plane MN, and the plane PQ parallel to the plane MN. To prove... | |
 | George Albert Wentworth, David Eugene Smith - 1913 - 496 σελίδες
...these perpendiculars are parallel and hence (§ 464) that they are equal. PROPOSITION XL THEOREM 456. A line perpendicular to one of two parallel planes is perpendicular to the other also. M, 1 " -*jg . v Given the line AB perpendicular to the plane MN, and the plane PQ parallel to the plane... | |
 | George C. Shutts - 1913 - 212 σελίδες
...point on the floor which is directly under the point on the ceiling? PROPOSITION XVIII. 476. THEOREM. A line perpendicular to one of two parallel planes is perpendicular to the other. /—%vv /—^ M / i x * / Given plane M \\ plane N and line o -L M at 0. To Prove a -L N. Proof. SUG.... | |
 | Horace Wilmer Marsh - 1914 - 306 σελίδες
...are equal. Through the parallel lines pass a plane intersecting the given planes. VIII THEOREM 20 A line perpendicular to one of two parallel planes is perpendicular to the other. Through the line pass two planes intersecting the given planes, and draw the lines of intersection.... | |
 | Sophia Foster Richardson - 1914 - 236 σελίδες
...perpendicular to the other plane lies in the first plane. [Use §§ 119 and 95.] 121. COROLLARY 2. A plane perpendicular to one of two parallel planes is perpendicular to the other plane also. 122. NOTE. It follows from § 119 and § 118 that a necessary and sufficient condition... | |
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A straight line perpendicular to one of two parallel planes is perpendicular to the other also. 
