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
| James Williamson - Mathematics - 1781
...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... | |
| Euclid, Robert Simson - Euclid's Elements - 1806 - 518 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 - Trigonometry - 1806 - 311 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 - 518 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, Olinthus Gilbert Gregory - 1813
...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 - Geometry - 1816 - 528 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 - 317 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 - 494 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 - Geometry - 1822 - 494 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 - 372 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... | |
| |