 | 1836 - عدد الصفحات: 488
...plane. XVI. If two straight lines be cut by parallel planes, they must be cut in the same ratio. XVII. If a straight line be at right angles to a plane, every plane which passes through that line is at right angfes to the first mentioned plane. XVIII. If two planes... | |
 | A. Bell - 1837 - عدد الصفحات: 180
...XD, as AE to EB. Therefore (PI. Ge. V. 11), as AE to EB, so is CF to FD. PROPOSITION XVII. THEOREM. 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. i Let the straight line AB be at right... | |
 | Euclides - 1841 - عدد الصفحات: 378
...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... | |
 | Euclides - 1842 - عدد الصفحات: 316
...is CF to FD. Wherefore, if two straight lines, &c. QED ^ A L -• C ^ M ^ O D V^ PROP. XVIII. THEOR. IF a straight line be at right angles to a plane : every plane which passes through it is also at right angles to that plane. Let the straight line A в be at right... | |
 | John Playfair - 1842 - عدد الصفحات: 332
...that AX is to XD, as AE to EB : Therefore (11. 5.), as AE to EB, so is CF to FD. PROP. XVII. THEOR. If a straight line be at right angles to a plane, every plane which passes through that line is at right angles to the first mentioned plane. Let the straight line... | |
 | Euclides - 1845 - عدد الصفحات: 546
...EB, so is CF to FD. (v. 11.) Wherefore, if two straight lines, &c. QED PROPOSITION XVIII. THEOREM. If a straight line be at right angles to a plane, every plane which poises through it shall be at right angles to that plane. Let the straight line AB be at right... | |
 | Euclid - 1845 - عدد الصفحات: 218
...to EB, so is CF to FD. Wherefore, if t ns two straight lines, &c. QED PROPOSITION 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... | |
 | Dennis M'Curdy - 1846 - عدد الصفحات: 166
...planes, they must be cut in the same ratio. Recite p. 14 of this; p. 2 of b. 6; p. 11 of b. 5. 17 Th. If a straight line be at right angles to a plane, every plane which passes through that line is at right angles to the first mentioned plane. Recite def. 1, 2, and... | |
 | Euclides - 1846 - عدد الصفحات: 292
...therefore (5. 11) AE is to EB as 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, John Playfair - 1846 - عدد الصفحات: 334
...that AX is to XD, as AE to EB : Therefore (11. 5.), as AE to EB, so is CF to FD. PROP. XVII. THEOR. If a straight line be at right angles to a plane, every plane which passes through that hue is at right angles to the first mentioned plane. Let the straight line... | |
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Let any plane DE pass through AB, and let CE be the common section of the planes DE... 
