 | John Charles Stone, James Franklin Millis - 1916 - 196 σελίδες
...either BA or BC or both. § 46 14. But this is impossible. § 312 SOLID GEOMETRY 318. Theorem. — A straight line perpendicular to one of two parallel planes is perpendicular to the other also. A C \ \ Hypothesis. Plane MN\\ plane PQ ; line AB ± plane PQ. Conclusion. Line AB _L plane MN. Proof.... | |
 | William Betz - 1916 - 536 σελίδες
...II to a. 2. Then b' _L P. Why? 3. But b _L P. Hyp. 4. .'. b coincides with b1, Why? and a II b. 556. A straight line perpendicular to one of two parallel planes is perpendicular to the other; and conversely, two planes perpendicular to the same line are parallel. B (a) Given the line a perpendicular... | |
 | John H. Williams, Kenneth P. Williams - 1916 - 184 σελίδες
...are II, and it is therefore a O. § 158, 3 Hence, AC = BD. § 161 QED PROPOSITION VII. THEOREM 527. A line perpendicular to one of two parallel planes is perpendicular to the other also. Let MN and PQ be parallel planes, and AB perpendicular to MAT. To prove AB J. PQ. Proof: Through AB... | |
 | William Betz, Harrison Emmett Webb - 1916 - 214 σελίδες
...dihedral angles w hose faces are respectively parallel are either equal or supplementary. (d) A plane perpendicular to one of two parallel planes is perpendicular to the other. PROPOSITION XIII. THEOREM 566. If a line is perpendicular to a plane, every plane passed through the... | |
 | Eugene Randolph Smith, William Henry Metzler - 1918 - 232 σελίδες
...pyramid measures 12 in., and each edge of its square base measures 4 in. Find its total surface. 3S4- A straight line perpendicular to one of two parallel planes is perpendicular to the other also. 335. A right circular cylinder 6 ft. in diameter is equivalent to a right circular cone whose base... | |
 | Arthur Schultze, Frank Louis Sevenoak - 1918 - 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. Given plane MN II plane PQ, and AB _L plane MN. To prove AB _L plane PQ. Proof. Through AB pass any... | |
 | Mabel Sykes, Clarence Elmer Comstock - 1918 - 576 σελίδες
...plane M and JL plane N. Pass any plane through a intersecting M in line b. Prove b JL N. Ex. 3. A plane perpendicular to one of two parallel planes is perpendicular to the other. 26 SOLID GEOMETRY DETERMINATION OF LINES 37. THEOREM 27. If two planes are perpendicular, a line drawn... | |
 | Mabel Sykes, Clarence Elmer Comstock - 1922 - 236 σελίδες
...plane M and _L plane N. Pass any plane through a intersecting M in line b. Prove b _L N. Ex. 3. A plane perpendicular to one of two parallel planes is perpendicular to the other. Suggestion. Use a construction line. DETERMINATION OF LINES 37. THEOREM 27. If two planes are perpendicular,... | |
 | Raleigh Schorling, William David Reeve - 1922 - 460 σελίδες
...drawn _L CD in the plane ir is _L IT and that it is the only perpendicular. 284. Corollary 3. A plane perpendicular to one of two parallel planes is perpendicular to the other plane. EXERCISES 1. The sum of two adjacent dihedral angles formed by two intersecting planes is 180°.... | |
 | Arthur Schultze, Frank Louis Sevenoak - 1913 - 484 σελίδες
...line AB. To prove MN II PQ. HINT. Apply the indirect method and (603). PROPOSITION XIV. THEOREM 515. A straight line perpendicular to one of two parallel planes is perpendicular to the other also. Proof. Through AB pass any plane intersecting MN in AC and PC in BD, respectively. AC II BD, (483)... | |
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A straight line perpendicular to one of two parallel planes is perpendicular to the other also. 
