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, Sir Thomas Little Heath, Johan Ludvig Heiberg - 1908Full view - About this book
| John Playfair - Mathematics - 1842 - 317 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
...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 - 317 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... | |
| Euclides - Geometry - 1845 - 199 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
...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... | |
| Euclides - Mathematics - 1845
...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 - 317 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
...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
...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... | |
| Euclides - 1849
...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.** Take E the centre of the circle ABDC, and from it draw KF, EG perpendiculars to AB, CD: Then, because... | |
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