| Robert Simson - 1838 - 434 pàgines
...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... | |
| Euclides - 1838 - 264 pàgines
...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,... | |
| Euclides - 1841 - 378 pàgines
...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... | |
| John Playfair - 1842 - 332 pàgines
...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...between that straight line and the circumference, from the extremity of the diameter, so as not to cut the circle. Let ABC be a circle, the centre of... | |
| Euclides - 1842 - 316 pàgines
...straight line and the perpendicular AE. QED 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, touches the circle ; and that it touches it only in one point, because, if it did meet the circle in... | |
| Euclid - 1845 - 218 pàgines
...less than any rectilineal angle.' QED 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, touches the circle ; and that it touches it only in one point, because, if it did meet the circle in... | |
| Euclides - 1845 - 546 pàgines
...less than any rectilineal angle." QED 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, touches the circle ; (in. def. 2.) and that it touches it only in one point, because, if it did meet... | |
| Euclid, John Playfair - 1846 - 334 pàgines
...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...between that straight line and the circumference, from the extremity of the diameter, so as not to cut the circle. 72 In AE take any point F, join DF... | |
| Great Britain. Admiralty - 1846 - 128 pàgines
...AF=FB. Prop. 25. ie CD bisects AB, in pt. F. Wherefore, if a str. line, &c. PROP. LI. THEOR. 16. 3 Eu. A straight line drawn at right angles to the diameter...without the circle; and no straight line can be drawn from the extremity between that straight line and the circum-ference, so as not to cut the circle.... | |
| Great Britain. Admiralty - 1846 - 128 pàgines
...Prop. 25. ie CD bisects AB, in pt. F. Wherefore, if a str. line, &c. PROP. LI. THEOR. 16 . 3Eo . A straight line drawn at right angles to the diameter...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. to... | |
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