| 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.... | |
| |