 | John Playfair - 1844 - 338 sider
...been shewn, that a circle cannot touch another on the inside in more than one point. PROP. XIV. THEOH. Equal straight lines in a circle are equally distant...are equally distant from the centre, are equal to on» another. Let the straight lines AB, CD, in the circle ABDC, be equal to one another : they are... | |
 | Euclid - 1845 - 218 sider
...touch on the inside in more points than one. Therefore, one circle, &c. QED PROPOSITION XIV. THEOR. — Equal straight lines in a circle are equally distant...distant from the centre, are equal to one another. Let the straight lines AB, CD, in the circle ABDC, be equal to one another; they are equally distant... | |
 | Euclides - 1845 - 546 sider
...touch on the inside in more points than one. Therefore, one circle, &c. QED PROPOSITION XIV. THEOREM. Equal straight lines in a circle are equally distant from the centre; and conversely, those which are equally distant from the centre, are equal to one another. Let the straight... | |
 | Euclid, James Thomson - 1845 - 382 sider
...PROP. XIV. THEOR. — Equal chords in a circle are equally distant from the centre ; and (2) chords which are equally distant from the centre are equal to one another. Let the chords AB, CD, in the circle ABDC, be equal to one another ; they are equally distant from... | |
 | Euclid, John Playfair - 1846 - 334 sider
...been shewn, that a circle cannot touch another on the inside in more than one point. PROP. XIV. THEOR. Equal straight lines in a circle are equally distant...are equally distant from the centre, are equal to ona another. Let the straight lines AB, CD, in the circle ABDC, be equal to one another : they are... | |
 | Euclides - 1846 - 292 sider
...cannot touch on the inside in more points than one. Wherefore, One circle %c, Q. E, D. PROP. XIV. THEOR. Equal straight lines in a circle are equally distant from the centre ; and, conversely, those, which are equally distant from the centre, are equal to one another. Let the straight... | |
 | Euclides - 1848 - 52 sider
...another in more points than one, whether it touches it on the inside or outside. PROP. XIV. THEOREM. Equal straight lines in a circle are equally distant...distant from the centre, are equal to one another. PROP. XV. THEOREM. The diameter is the greatest straight line in a circle ; and, of all others, that which... | |
 | Euclid, Thomas Tate - 1849 - 120 sider
...cannot touch on the inside in more points than one : Therefore, one circle, &c. QED PROP. XIV. THEOR. Equal straight lines in a circle are equally distant...distant from the centre, are equal to one another. Take E the centre of the circle ABDC, and from it draw KF, EG perpendiculars to AB, CD: Then, because... | |
 | 1850 - 400 sider
...between the perpendicular let fall upon it from the opposite angle, and the acute angle. 4. Equal right lines in a circle are equally distant from the centre;...which are equally distant from the centre are equal to each other. • ,. In a circle, the angle in a semicircle is a right angle; but the angle in a segment... | |
 | University of Durham - 1851 - 222 sider
...the square of the other part. 6. If two circles cut one another they cannot have the same centre. 7. Equal straight lines in a circle are equally distant from the centre ; and those straight lines which are equally distant from the centre are equal to one another. 8. If from a point... | |
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EQUAL straight lines in a circle are equally distant from the centre ; and those which are equally distant from the centre, are equal to one another. 
