 | George Lees - 1826 - 276 σελίδες
...diameter AC, is a tangent to the circle ; and no straight line can be drawn between the tangent and circumference, from the extremity of the diameter, so as not to cut the circle. Let B be any point in the straight line AB, join this point and the centre D. Then, because DAB is a right... | |
 | Robert Simson - 1827 - 546 σελίδες
...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 - 1829 - 548 σελίδες
...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 σελίδες
...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 - 1835 - 544 σελίδες
...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...extremity of the diameter, so as not to cut the circle; or, which is the same thing, no straight line can make so great an acute angle with the diameter at... | |
 | Euclid - 1835 - 540 σελίδες
...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... | |
 | 1836 - 488 σελίδες
...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 - 1837 - 332 σελίδες
...centre ; and, conversely, the farther the chord is from the centre, the shorter it is. PROP. XVI. THEOR. The straight line drawn at right angles to the diameter...extremity of the diameter, so as not to cut the circle. In AE take any point F, join DF and let DF meet the circle in C. Because DAF is a right angle, it is... | |
 | Euclides - 1837 - 112 σελίδες
...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...straight line and the circumference from the extremity, so as not to cut the circle. Steps of the Demonstration. Part 1st. That the right line from the extremity... | |
 | Robert Simson - 1838 - 434 σελίδες
...of EK, and the straight line EH less than EK. Wherefore the diameter, &c. Q,. ED , PROP. XVI. THEOR. THE straight line drawn at right angles to the diameter of a circle, from the extremity of if, falls without the circle ; and no straight line can be drawn between that straight line and the... | |
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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... 
