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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. "
Geometry, Plane, Solid, and Spherical, in Six Books: To which is Added, in ... - Page 79
by Pierce Morton - 1830 - 272 pages
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1806 - 546 pages
...cannot touch on the inside in more points than one. Therefore, one circle, 8tc. QED B PROP. XIV. THEOR. EQUAL straight lines in a circle are equally distant...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...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Mathematics - 1806 - 320 pages
...touch another on the inside in more than one point. Therefore, one circle, &c. QED PROP. XIV. THEOR. EQUAL straight lines in a circle are equally distant...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 - Geometry - 1810 - 554 pages
...cannot touch on the inside in more points than one. Therefore one circle, Zee. 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...
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Pantologia. A new (cabinet) cyclopędia, by J.M. Good, O. Gregory ..., Volume 5

John Mason Good - 1813 - 714 pages
...another in more points than one, whether it louches it on the inside or outside. 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...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 588 pages
...cannot touch on the inside in more points than one. Therefore, one circle, &c. QED PROP. XIV. THEOR. EQUAL straight lines in a circle are equally distant...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...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Circle-squaring - 1819 - 350 pages
...touch another on the inside in more than one point. Therefore, one circle, &c. QED PROP. XIV. THEOR. Equal straight lines -in a circle are equally distant...distant from the centre, are equal to one another. • B Let the, straight lines AB, CD, in the circle ABDC, be equal to one another ; they are equally...
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Euclid's Elements of Geometry: The Six First Books. To which are Added ...

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

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,...
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - Mathematics - 1825 - 1046 pages
...touch on the inside in more points than oneTherefore, one circle, &c. QED Proposition XIV. Theorem. Equal straight lines in a circle are equally distant...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...
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Elements of Arithmetic, Algebra, and Geometry

George Lees - 1826 - 276 pages
...than the square of EK, and the straight line EH less than FK. Wherefore, the diameter, &c. QED Cor. Equal straight lines in a circle are equally distant...those which are equally distant from the centre, are equally distant from one another. OF GEOMETRY. aCor.Ax12 Book II. t PROP. III. THEOREM. Of all the...
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