 | Euclides - Geometry - 1841 - 378 pages
...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 - Euclid's Elements - 1842 - 332 pages
...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...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 which is D, and the... | |
 | Euclides - 1842 - 320 pages
...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... | |
 | Euclides - 1845 - 546 pages
...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 - Geometry - 1845 - 218 pages
...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... | |
 | John Playfair - Euclid's Elements - 1846 - 334 pages
...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...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 and let DF meet the... | |
 | Great Britain. Admiralty - Geometry - 1846 - 130 pages
...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... | |
 | Great Britain. Admiralty - Geometry - 1846 - 130 pages
...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.... | |
 | Euclides - 1846 - 292 pages
...not to cut the circle. * Wherefore, The straight line &c. or i>. COR. From this it is manifest, that the straight line, 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 met the circle in two,... | |
 | Great Britain. Committee on Education - Education - 1848 - 598 pages
...centre. State the most convenient way of finding the centre of a circle traced out on a plane surface. 2. The 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.... | |
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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... 
