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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 - Side 34
av Euclid - 1908
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The Elements of Euclid: With Dissertations Intended to Assist and Encourage ...

Euclid, James Williamson - 1781 - 324 sider
...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: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1806 - 546 sider
...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 - 1806 - 320 sider
...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 - 1810 - 554 sider
...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) cyclopædia, by J.M. Good, O. Gregory ..., Volum 5

John Mason Good - 1813 - 714 sider
...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 - 1816 - 588 sider
...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 - 354 sider
...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 - 1822 - 508 sider
...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 - 1822 - 516 sider
...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 - 1825 - 1046 sider
...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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