 | 1912 - 914 σελίδες
...that plane. Proposition 8. Planes perpendicular to the same straight line are parallel. Proposition 9. A straight line perpendicular to one of two parallel planes is perpendicular to the other. Corollary I. Two intersecting planes cannot both be parallel to a third plane. Corollary 2. Two planes... | |
 | Isaac Newton Failor - 1906 - 431 σελίδες
...ACDB is a a (§ 195), and AC = BD (§ 200). SOLID GEOMETRY — BOOK VI PROPOSITION XII. THEOREM 545 A straight line perpendicular to one of two parallel planes is perpendicular to the other. HYPOTHESIS. MN and PQ are parallel planes, and AB is ± to MN. CONCLUSION. AB is ± to PQ. PROOF Through... | |
 | Isaac Newton Failor - 1906 - 440 σελίδες
...ACDB is a £7 (§ 195), and AC = BD (§ 200). SOLID GEOMETRY — BOOK VI PROPOSITION XII. THEOREM 545 A straight line perpendicular to one of two parallel planes is perpendicular to the other. M V A HYPOTHESIS. MN and PQ are parallel planes, and AB is -L to MN. CONCLUSION AB is -L to PQ. PROOF... | |
 | Edward Rutledge Robbins - 1907 - 428 σελίδες
...AB. M ... MN is -L to CD and to EF(?) (509). .-. CD is II to EF (?) (510). QED B -N 512. THEOREM. A line perpendicular to one of two parallel planes is perpendicular to the other also. Given : Plane MN II to plane ^ - s - v US ; AP _L to plane ES. To Prove : AP J- to MN. Proof : Through... | |
 | Webster Wells - 1908 - 336 σελίδες
...locus of points equidistant from all points in the circumference of a circle. PROP. XVIII. THEOREM 373. A straight line perpendicular to one of two parallel planes is perpendicular to the other also. Given planes MN and PQ II, and line a -L PQ. To Prove a -L MN. Proof. 1. Let two planes through a intersect... | |
 | Webster Wells - 1909 - 154 σελίδες
...parallel to MN. To Prove PQ II ItS. / Proof. 1. Draw a line AB _L MN; / then, AB _L PQ, and AB JL RS. * (A straight line perpendicular to one / of two parallel planes is perpendicular / to the other also.) § 373. p/ 2. Hence, PQ II RS. / (Two planes perpendicular to the / same straight line are parallel).... | |
 | Eugene Randolph Smith - 1909 - 424 σελίδες
...pyramid measures 12 in., and each edge of its square base measures 4 in. Find its total surface. 334- 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... | |
 | Walter Nelson Bush, John Bernard Clarke - 1909 - 376 σελίδες
...any of its dihedrals, the sum of the angles about angle F might exceed four right angles. XXII. 5. A line perpendicular to one of two parallel planes is perpendicular to the other, and conversely. Hyp. If plane MQ is parallel to plane RS and AB±RS, Cone. : then .4B J_ M Q. Dem.... | |
 | David Eugene Smith - 1911 - 360 σελίδες
...through an ordinary board (with rectangular cross section) the section is a parallelogram. THEOREM. A straight line perpendicular to one of two parallel planes is perpendicular to the other also. Notice (1) the corresponding proposition in plane geometry ; (2) the proposition that results from... | |
 | Clara Avis Hart, Daniel D. Feldman - 1912 - 504 σελίδες
...AC. 5. AE AF , — and CH _AF " EB~ FD HD ~ FD' 6. AE _ CH " EB~ HD' PROPOSITION XVII. THEOREM 651. A straight line perpendicular to one of two parallel planes is perpendicular to the other also. A ,N / ' y M' _y E R ' y S B Given plane MN II plane BS and line AB _L plane BS. To prove line AB _L... | |
| |
A straight line perpendicular to one of two parallel planes is perpendicular to the other also. 
