| J. Goodall, W. Hammond - 1848 - 388 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.... | |
| Great Britain. Council on Education - Education - 1848 - 596 pages
...centre of a circle traced out on a plane surface. 2. The straight line drawn at right angles to tho **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 line and the circumference, so as not to cut the circle.... | |
| Euclid - 1848 - 52 pages
...angles to it, as not to cut the circle. COB. 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 - 1849 - 332 pages
...; 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...falls without the circle ; and no straight line, can** lie drawn between that straight line and the circumference, from the extremity of the diametfr, so... | |
| Euclid, Thomas Tate - 1849 - 120 pages
...angle less than any rectilineal angle." COB. '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... | |
| Henry Aldrich, John Hill - Logic - 1850 - 406 pages
...hypothetical syllogism, usually founded on a premiss deduced from a conditional Sorites. For instance ; If a **straight line drawn at right angles to the diameter of a circle** at its extremity does notfall without the circle, it falls within it; if it falls within it, it may... | |
| Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...less than any rectilineal angle." QED Con. 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,** touchas the circle ; and that it touches it only in one point, because, if it did meet the circle in... | |
| Euclid - Geometry - 1853 - 176 pages
...frf) I. 12. (e) I. 19. 0 I. Def. 15. COROLLARY. Hence 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 circumference of the circle, and that it touches it only in one point ; and further, that... | |
| John Playfair - Geometry - 1855 - 334 pages
...the farther the chord is from the centre, the shorter it is. PROP. XVI. THEOR. <T The straight lme **drawn at right angles to the diameter of a circle,...straight line and the circumference, from the extremity** of the diameter, so as not to cut the circle. In AE take any point F, join DF and let DF meet the circle... | |
| Euclides - 1856 - 168 pages
...straight line AB cuts the circle in no other point. XXIX. The perpendicular at the extremity of a diameter **falls without the circle, and no straight line can be drawn between that** and the circle so as not to cut the circle. Let AB (Fig. 21) be the diameter of a circle; C, the centre... | |
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