 | George Albert Wentworth - 1892 - 437 σελίδες
...equal (§ 493). Therefore all points in MS are equidistant from PQ. PROPOSITION XII. THEOREM. 495, A straight line perpendicular to one of two parallel planes is perpendicular to the other. M N Let AB be perpendicular and PQ parallel to MN. To prove that AB is perpendicular to PQ. Proof,... | |
 | George Albert Wentworth - 1888 - 437 σελίδες
...equal (§ 493). Therefore all points in MN are equidistant from PQ. PROPOSITION XII. THEOREM. 495. JL straight line perpendicular to one of two parallel planes is perpendicular to the other. M Let AB be perpendicular and PQ parallel to MN. To prove that AB is perpendicular to PQ. Proof. Pass... | |
 | Arthur Latham Baker - 1893 - 126 σελίδες
...|| lines included between the || lines m, n, and hence are equal. QED PROPOSITION IX. THEOHEM. 43. A straight line perpendicular to one of two parallel planes is perpendicular to the other. Notation. Let M, N be || planes and let p be J_ to M. To prove p J_ to N. Construction. Through p in... | |
 | William Chauvenet - 1893
...are lines in the same plane AD; therefore they are parallel. EXERCISE. PROPOSITION IX.—THEOREM. 21. A straight line perpendicular to one of two parallel planes is perpendicular to the other. Let MN and PQ be parallel planes, and let the straight line AB be perpendicular to PQ ; then it will... | |
 | Webster Wells - 1894
...(§419.) If another plane could be drawn through A parallel to PQ, it would be perpendicular to AB. [A straight line perpendicular to one of two parallel planes is perpendicular to the other also.] (§ 421.) It would then coincide with MN. [Through a given point in a straight line, but one plane... | |
 | Webster Wells - 1894 - 378 σελίδες
...plane perpendicular to the same straight line are parallel. PROPOSITION XIV. THEOREM. . 421. A stmight line perpendicular to one of two parallel planes is perpendicular to the other also. Let MN and PQ be parallel planes ; and let the line AD be perpendicular to PQ. To prove AD perpendicular... | |
 | Charles Ambrose Van Velzer, George Clinton Shutts - 1894 - 395 σελίδες
...their vertices, they are equal and their planes are parallel. PROPOSITION XVIII. A .•.! i ..i;,i H line perpendicular to one of two parallel planes is perpendicular to the other also. PROPOSITION XIX. If tnree parallel planes are intersected by two lines, the segments of the lines are... | |
 | Webster Wells - 1894 - 378 σελίδες
...planes is parallel to their intersection. PROPOSITION XIV. THEOREM. 421. A straight line perpendwular to one of two parallel planes is perpendicular to the other also. Let MN and PQ be parallel planes ; and let the line AD be perpendicular to PQ. To prove AD perpendicular... | |
 | John Macnie - 1895 - 374 σελίδες
...AB, DC, the figure AC is a parallelogram (131); whence AD = BC (136). PROPOSITION XII. THEOREM. 453. A. straight line perpendicular to one of two parallel planes is perpendicular to the other also. Given: Two parallel planes, MN, PQ, and a straight line AB perpendicular to MN ; To Prove: AB is perpendicular... | |
 | 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. 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.... | |
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A straight line perpendicular to one of two parallel planes is perpendicular to the other also. 
