| Robert Simson - 1806 - 546 sider
...therefore c, as AE to EB so is CF to FD. Wherefore, if two straight lines, &c. QED PROP. XVIII. THEOR. IP a straight line- be at right angles to a plane, every...through it shall be at right angles to that plane. t . Let the straight line AB be at right angles to a plane CK ; every plane which passes through AB... | |
| John Playfair - 1806 - 320 sider
...EB : : CF c 11. 5. : FDC. Wherefore, if two straight lines, &c. QED Book H. D H PROP. XVII. THEORv IF a straight line be at right angles to a plane, every plane which passes through the line is also at right angles to that plane. Let the straight line AB be at right angles to a plane... | |
| Euclid - 1810 - 554 sider
...therefore c, as AE to EB, so is CF to FD. Wherefore, if two straight lines, M fcc.QED PROP. XVIII. THEOR. IF a straight line be at right angles to a plane,...through it shall be at right angles to that plane. Let the straight line AB be at right angles to a plane CK; every plane which passes through AB shall... | |
| John Mason Good - 1813 - 714 sider
...shall be cut in the same ratio. Prop. XVIII. Theor. If a straight line be at right angles to a pbue, every plane which passes through it shall be at right angles to that plane. Prop. XIX. Theor. If two planes cutting one another be each of them perpendicular to a third plane;... | |
| Euclides - 1814 - 560 sider
...is CF to FD. lines, &c. QED For the same reason, be1 Wherefore, if two straight PROP. XV11I. THEOR. IF a straight line be at right angles to a plane, every plane « hich passes through it shall be at right angles to that plane. Let the straight line AB be at right... | |
| Euclides - 1816 - 588 sider
...same reason, be- Boo* Xl. 7" • 16. 11. k2. 6. Wherefore, if two straight 11.5. PROP. XVIII. THEOR. IF a straight line be at right angles to a plane,...through it shall be at right angles to that plane. Let the straight line AB be at right angles to a plane CK ; every plane which passes through AB shall... | |
| John Mason Good - 1819 - 800 sider
...straight lines be cut by parallel planes, they shall be cut in the same ratio. Prop. XVIII. Theor. Ifa straight line be at right angles to a plane, every...through it shall be at right angles to that plane. Piop. XIX. Theur. If two planes rutting one another be each of them perpendicular to a third plane... | |
| John Playfair - 1819 - 350 sider
...Therefore. (11.5.),asAEtoEB,soisCFtoFD. Wherefore, if two straight lines, &c. Q, ED PROP. XVII. THEQR. Jf a straight line be at right angles to a plane, every plane which passes through that line ii at right angles to the first-mentioned plant. Let the straight line AB be at right angles... | |
| John Playfair - 1819 - 354 sider
...(11. 5.), as AE to EB, so is CFto FD. Wherefore, if two straight hnes, &c. q. ED PROP. XVII. THEQR. If a straight line be at right angles to a plane, every plane which passe.' through that line is at right angles to thefirst-mentioned plane. Let the straight line AB... | |
| Peter Nicholson - 1825 - 1046 sider
...(11. i.) as AE to EB, so is CF to FD. Wherefore, if two straight lines, &c. QED PROP. XVIII. THEOREM. If a straight line be at right angles to a plane, every plane which pastes through it thall be at right angles to that plane. ELEMENT« Oí EUCLID, BOOK XI. 993 section... | |
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