 | Euclid - 1835 - 540 pages
...angle 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...extremity of it, touches the circle ; and that it touches it only in one point, because, if it did meet the circle in two, it would e 2. 3. fall within it. e... | |
 | Mathematics - 1836 - 488 pages
...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
...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... | |
 | John Playfair - Euclid's Elements - 1837 - 332 pages
...therefore the straight line AG cuts the circle. COR. 1. From this it is manifest, that the j> [ straight line which is drawn at right angles to the diameter...extremity of it, touches the circle ; and that it touches it only in one point ; because, if it did meet the circle in two, it would fall within it (2. 3.).... | |
 | Euclides - Euclid's Elements - 1837 - 112 pages
...that EH" < EK" and .'. EH < EK. PROPOSITION XVI. (Argument ad absurdum). Theorem. The straight line drawn at right angles to the diameter of a circle from the extremity of it, falls without the circle; and no straight line can be drawn between that straight line and the circumference... | |
 | Euclid, James Thomson - Geometry - 1837 - 410 pages
...without the circle. Therefore the straight line, &c. Cor. From this it is manifest, that the straight line which is drawn at right angles to the diameter of a circle from its extremity, touches (III. def. 1.) the circle; and that it touches it only in one point, because... | |
 | Euclides - 1838 - 264 pages
...the circumference, which doen not cut the circle. COR. From this it is manifest, that the straight line which is drawn at right angles to the diameter of a circle from the ti Def 3. extremity of 1t, touchest the circle ; and that it '"' touches it only in one point, because,... | |
 | Robert Simson - Geometry - 1838 - 434 pages
...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... | |
 | Euclides - Geometry - 1841 - 378 pages
...remaining angle less than any rectilineal angle." COR. From this it is manifest, that the straight line which is drawn at right angles to the diameter of a circle from the extremity of it, toucher, the circle; and that it touches it only in one point, because, if it did meet the circle in... | |
 | Euclides - 1842 - 316 pages
...straight line EH less than EK. Wherefore the diameter, &c. QED PROP. XVI. THEOR. THE straight line drawn at right angles to the diameter of a circle, from the extremity of it, falls on the exterior of the circle ; and no straight line can be drawn between that straight line... | |
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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... 
