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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. "
Books 3-9 - Page 34
by Euclid, Sir Thomas Little Heath, Johan Ludvig Heiberg - 1908
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The elements of Euclid: with dissertations intended to assist and ..., Volume 1

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...
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The Elements of Euclid: viz. the first six books, together with the eleventh ...

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...
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Elements of geometry: containing the first six books of Euclid, with a ...

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...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - 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...
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Pantologia. A new (cabinet) cyclopędia, by J.M. Good, O. Gregory, and N ...

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...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

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...
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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

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...
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Euclid's Elements of Geometry: The Six First Books. To which are Added ...

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...
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Euclid's Elements of Geometry: The Six First Books. To which are Added ...

Rev. John Allen - Mathematics - 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,...
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

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...
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