 | 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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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... 
