| 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.... | |
| 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.... | |
| 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.... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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.... | |
| 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.... | |
| |