 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.  Books 3-9 - Page 34by Euclid - 1908Full view - About this book
 | Euclides - 1842 - 316 pages
...points than one. Therefore, one circle, &c. QED PROP. XIV. THEOR. EQUAL straight lines in a circle, are equally distant from the centre ; and those which...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 from... | |
 | John Playfair - Euclid's Elements - 1842 - 332 pages
...touch another on the inside in more than one point. PROP. XIV. THEOR. Equal straight lines in a circle are equally distant from the centre ; and those which...are equally distant from the centre, are equal to ont another. Let the straight lines AB, CD, in the circle ABDC, be equal to one another : they are... | |
 | Education - 1844 - 688 pages
...not both pass through the centre, they do not bisect each other. 9. Equal straight lines in a circle are equally distant from the centre ; and those which...distant from the centre, are equal to one another. 10. In equal circles equal angles stand upon equal circumferences whether they be at the centres or... | |
 | John Playfair - Euclid's Elements - 1844 - 338 pages
...touch another on the inside in more than one point. PROP. XIV. THEOH. Equal straight lines in a circle are equally distant from the centre; and those which...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 - Geometry - 1845 - 218 pages
...than one. Therefore, one circle, &c. QED PROPOSITION XIV. THEOR. — Equal straight lines in a circle are equally distant from the centre ; and those which...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 from... | |
 | Euclides - 1845 - 546 pages
...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 lines AB, CD, in the circle ABDC, be equal to one another. Then AB and CD shall be equally... | |
 | Euclid, James Thomson - Geometry - 1845 - 382 pages
...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 the... | |
 | Euclid, John Playfair - Euclid's Elements - 1846 - 334 pages
...touch another on the inside in more than one point. PROP. XIV. THEOR. Equal straight lines in a circle are equally distant from the centre ; and those which...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 pages
...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 lines AB, CD, in the circle ABDC, be equal to one another : they shall be equally distant... | |
 | Euclides - 1848 - 52 pages
...whether it touches it on the inside or outside. PROP. XIV. THEOREM. Equal straight lines in a circle are equally distant from the centre; and those which...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... | |
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