 | Euclides - 1826 - 226 pages
...and the remaining angle less than any .rectilineal angle. QED Deductions. 1. The right line which is drawn at right angles to the diameter of a circle from the extremity of it touches the circle, and that it touches only in one point. 2. To describe a circle, which shall touch... | |
 | Euclid, John Playfair - Euclid's Elements - 1826 - 326 pages
...of EK, and the straight lineliHless than EK. Whereforq, the diameter, &$, QE J). PROP. XVI. THEOR. The straight line drawn at right angles to the diameter of a eirele, from the extremity of it, falls without the circle ; and no straight line ean be drawn between... | |
 | Robert Simson - Trigonometry - 1827 - 546 pages
...D. PROP. XVI. THEOR. The straight line drawn at right angles to the diameter of See N. a circle,from the extremity of it, falls without the circle ; and no straight line can be drawn from the extremity, between that straight line and the circumference, so as not to cut the circle -,... | |
 | Euclid, Robert Simson - Geometry - 1829 - 548 pages
...square of EK, and the straight line EH less than EK. .Wherefore the diameter, &c. QED PROP. XVI. THEOR. THE straight line drawn at right angles to the diameter...between that straight line and the circumference from ther extremity, so as not to cut the circle ; or which is the same thing, no straight line can make... | |
 | Euclides - 1834 - 518 pages
...nearer t to the centre than FG. Wherefore, the diameter, &c. y. ED PROPOSITION XVI. See N. THEOR. — The straight line drawn at right angles to the diameter of a circle, from the extremity of it, Jails without the circle ; and no straight line can be drawn from the extremity, between that straight... | |
 | Robert Simson - Trigonometry - 1835 - 544 pages
...diameter," &c. QED PROP. XVI. THEOR. The straight line drawn at right angles to the dia- See N. meter of a circle, from the extremity of it, falls without...straight line and the circumference from the extremity of the diameter, so as not to cut the circle; or, which is the same thing, no straight line can make... | |
 | Euclid - 1835 - 540 pages
...less than " any rectilineal angle." COR. From this it is manifest, that the straight line whick is drawn at right angles to the diameter of a circle from the extremity of it, touches the circle ; and that it touches it only in one point, because, if it did meet the circle in... | |
 | Mathematics - 1836 - 488 pages
...is always greater than the more remote; and the greater is nearer to the centre than the less. XVI. The straight line drawn at right angles to the diameter of a circle, from the extremity of it, fulls without the circle ; and no straight line can be drawn between that straight line and the circumference,... | |
 | John Playfair - Euclid's Elements - 1836 - 488 pages
...of EK, and the straight line EH less than EK. Wherefore the diameter, &c. QED PROP. XVI. THEOR. iTke straight line drawn at right angles to the diameter of a circle, from the extremity of zY, falls without the circle ; and no straight line can be drawn between that straight line and the... | |
 | Euclides - Euclid's Elements - 1837 - 112 pages
...that BH > FK, 2. that EH" < EK" and .'. EH < EK. PROPOSITION XVI. (Argument ad absurdum). Theorem. The straight line drawn at right angles to the diameter...circumference from the extremity, so as not to cut the circle. Steps of the Demonstration. Part 1st. That the right line from the extremity A, at right Zs to AB,... | |
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The straight line drawn at right angles to the diameter of a circle, from the extremity of it, falls without the circle... 
