 | John Playfair - Mathematics - 1806 - 320 pages
...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... | |
 | Robert Simson - Trigonometry - 1806 - 546 pages
...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 plane which passes through it shall be at right angles to that plane. t . Let the straight line AB be at... | |
 | Euclid - Geometry - 1810 - 554 pages
...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, every plane which passes through it shall be at right angles to that plane. Let the straight line AB be at right... | |
 | Euclides - 1816 - 588 pages
...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, every plane which passes through it shall be at right angles to that plane. Let the straight line AB be at right... | |
 | John Playfair - 1819 - 354 pages
...(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... | |
 | John Playfair - Circle-squaring - 1819 - 350 pages
...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... | |
 | Peter Nicholson - Mathematics - 1825 - 1046 pages
...(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... | |
 | Robert Simson - Trigonometry - 1827 - 546 pages
...therefore*, as AE to EB, so is CF to FD. Wherefore, if two straight lines, &c. QED PROP. XVIII. THEOR. If a straight line be at right angles to a plane, every plane which passes through it shall be at right angles to that . plane. Let the straight line AB be at right... | |
 | Euclid - 1835 - 540 pages
...Wherefore, " if two straight lines," &c. QED Book XI. a 16. 11. b 2. 6. ell. 5. PROP. XVIII. THEOR. If a straight line be at right angles to a plane, every plane which passes through that line icill also be at right angles to the first mentioned plane. Let the... | |
 | Mathematics - 1836 - 366 pages
...equal to the similar and similarly described figures upon the sides containing the right angle. 18. If a straight line be at right angles to a plane, every plane passing through it shall be at right angles to that plane. EUCLID. 3 20. One circle cannot touch another in more points... | |
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Let any plane DE pass through AB, and let CE be the common section of the planes DE... 
