 | 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...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.). Also it is evident that... | |
 | 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... | |
 | John Playfair - Euclid's Elements - 1842 - 332 pages
...therefore the straight line AG cuts the circle. COR. 1. From this it is manifest, that the straight line which is drawn at right angles to the diameter of a circle from ths extremity of it, touches the circle ; and that it touches it only in one point ; because, if it... | |
 | John Playfair - Euclid's Elements - 1844 - 338 pages
...line AG cuts the circle. from D draw DH at COR. 1. From this it is manifest, that the j> { straight line which is drawn at right angles to the diameter of a circle from tha extremity of it, touches the circle; and that it touches it only in one point; because, if it did... | |
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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... 
