| Euclid, James Thomson - 1837 - 390 Seiten
...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 Seiten
...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 Seiten
...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 Seiten
...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 Seiten
...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 Seiten
...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 Seiten
...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... | |
| |