 | Euclid, James Thomson - 1837 - 390 sider
...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
...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,... | |
 | Euclid, Robert Simson - 1838 - 416 sider
...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 - 1841 - 351 sider
...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
...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 - 1842 - 317 sider
...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 - 1844 - 317 sider
...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... | |
 | Euclid - 1845 - 199 sider
...line EH less than EK. Wherefore the diameter, &c. QED PROPOSITION XVI. THEOU. — 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... | |
 | Euclides - 1845
...than F G. (in. def. 5.) Wherefore the diameter, &c. QED PROPOSITION XVI. 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 from the extremity between that straight... | |
 | John Playfair - 1846 - 317 sider
...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 two, it would fall within it (2. 3.). Also it is evident that there can be but one straight line which touches... | |
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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... 
