 | 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,... | |
 | J. Goodall, W. Hammond - 1848 - 390 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. Committee on Education - 1848 - 606 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.... | |
 | Euclides - 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 - 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... | |
 | Euclides - Geometry - 1853 - 176 pages
...straight Urne d/ra/wn at right a/nglee to the diameter of a circle, from the extremity of it, fous without the circle ; and no straight line can be drawn...the circumference from the extremity, so as not to oui the circle; or, which is the same thing, no straight line can make so great an acute angle with... | |
 | 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... | |
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The straight line drawn at right angles to the diameter of a circle, from the extremity of it, falls without the circle... 
