| Arthur Schultze, Frank Louis Sevenoak - 1901 - 394 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... | |
| Arthur Schultze, Frank Louis Sevenoak - 1901 - 396 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. Hyp. Plane MNis II to plane PQ, and AB is _L to plane MN, To prov* AB is J. to PQ. Proof. Through AB... | |
| Arthur Schultze, Frank Louis Sevenoak - 1901 - 394 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....THEOREM 490. A straight line perpendicular to one of tioo parallel planes is perpendicular to the other also. To prove AB is _L to PQ. Proof. Through AB... | |
| Arthur Schultze - 1901 - 392 σελίδες
...each other. Hyp. Planes JOT and PQ are perpendicular to line AB. To prove J/JV is I! to PQ. HIXT. — Apply the indirect method and (98). PROPOSITION' XIV....parallel planes is perpendicular to the other also. DIEDRAL ANGLES To prove AB is _L to PQ. Proof. Through AB pass any plane intersecting MN in AC and... | |
| George Albert Wentworth - 1902 - 246 σελίδες
...equal (§ 529). Therefore, till 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 l ~ A ~ \ / h^—f<:.,oj y Let AB be perpendicular to MN and PQ parallel to MN. To prove that AB... | |
| Fletcher Durell - 1911 - 553 σελίδες
...1 FC and FB. Art. 123. /. FIl 1 MN. Art. 509. BOOK VI. SOLID GEOMETRY PROPOSITION XII. THEOREM 585. A straight line perpendicular to one of two parallel planes is perpendicular to the other also. Given the plane MN \\ plane PQ, and AB _L PQ. To prove AB J. MN. Proof. Through AB pass a plane Intersecting... | |
| George Albert Wentworth - 1904 - 496 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. >Q Let AB be perpendicular to MN and PQ parallel to MN. To proce that AB is perpendicular to PQ. Proof.... | |
| 1904 - 738 σελίδες
...the intersections of two parallel planes division wjtn a third plane are parallel lines. 2 Prove that a straight line perpendicular to one of two parallel planes is perpendicular to the other also. 3 Prove that the sum of any two face angles of a triedral angle is iji eater than the third face angle.... | |
| Fletcher Durell - 1904 - 232 σελίδες
..._L FC and FB. Art. 123. /. FH J. MN. Art. 509. .'. MN || PQ. Art. 530. PROPOSITION XII. THEOREM 535. A straight line perpendicular to one of two parallel planes is perpendicular to the other also. Given the plane MN \\ plane PQ, and AB ± PQ. To prove AB _L MN. Proof. Through AB pass a plane intersecting... | |
| 1912 - 942 σελίδες
...their plane is parallel to that plane. Planes perpendicular to the same straight line are parallel. A straight line perpendicular to one of two parallel planes is perpendicular to the other. Two intersecting planes cannot both be parallel to a third plane. Two planes parallel to a third plane... | |
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