 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
 | Euclid, James Williamson - Euclid's Elements - 1781 - 324 pages
...circle, are equally diftant from the center; and the ftraight lines being equally diftant from the center are equal to one another. Let ABDC be a circle ; and let AB, CD be equal ftraight lines in it; I fay that they are equally diftant from the center. For let the center of the... | |
 | Robert Simson - Trigonometry - 1806 - 546 pages
...points than one. Therefore, one circle, 8tc. QED B 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 - Mathematics - 1806 - 320 pages
...more than one point. Therefore, one circle, &c. QED 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 each other. Let the straight lines AB, CD, in the circle ABDC, be equal to each other ; they are equally... | |
 | Euclid - Geometry - 1810 - 554 pages
...QED B PROP. XIV. THEOR. EQUAL straight lines in a circle are, equally distant from the centre ; f-md 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 are equally distant from... | |
 | John Mason Good - 1813 - 714 pages
...Prop. XIV. Theor. Equal straight lines in a circle are equally distant from the centre ; and tbose which are equally distant from the centre, are equal to one another. Prop. XV. Theor. The diameter is the greatest straight line in a circle; and. uf all others, that which... | |
 | Euclides - 1816 - 588 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 - 1819 - 354 pages
...than one point. Therefore, one circle, &c. Q,. ED 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. B Let the straight lines AB, CD, in the circle ABDC, be equ one another ; they are equally distant... | |
 | Rev. John Allen - Astronomy - 1822 - 508 pages
...in more points than one. PROP. XIV. THEOR. Equal right lines (AB, CD), inscribed in a circle (ABDC), are equally distant from the centre; and those, which are equally distant from the centre, are equal. Because AB, CD are equal (Hyp.), and hisected by the perpendiculars EF, EG (3. 3), the right lines... | |
 | Rev. John Allen - Astronomy - 1822 - 516 pages
...in more points than one. PROP. XIV. THEOR. Equal right lines (AB, CD), inscribed in a circle (ABDC), are equally distant from the centre; and those, which are equally distant froni the centre, are equal. Take E the centre of the circle ABDC (1. 3), join EA, EC, and draw EF,... | |
 | Peter Nicholson - Mathematics - 1825 - 1046 pages
...points than oneTherefore, one circle, &c. QED Proposition 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. Let the straight lines AB, CD, in the circle ABDC, be equal to one another : they are equally distant from... | |
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