 | 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...and the circumference, so as not to cut the circle. 3. Show that if two straight lines cut one another within a circle, the rectangle contained by the... | |
 | 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...and the circumference, so as not to cut the circle. 3. Shew that if two straight lines cut one another within a circle, the rectangle contained by the... | |
 | 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...and the circumference, so as not to cut the circle. 3. Shew that if two straiuht lines cut one nnother within a circle, the rectangle contained by the... | |
 | 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 - 1853 - 146 pages
...EK, and the straight line EH less than EK. Wherefore, the diameter, &c. ui;.n. PROP. XVI. - THEOREM. The straight line drawn at right angles to the diameter...without the circle; and no straight line can be drawn between that straight line and the circumference from the extremity, so as not to cut the circle; or,... | |
 | 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... 
