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Books Books 31 - 40 of 97 on EQUAL straight lines in a circle are equally distant from the centre ; and those....  
" 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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Elements of geometry: containing the first six books of Euclid, with a ...

John Playfair - Mathematics - 1842 - 317 pages
...touch another on the inside in more than one point. 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 ont another. Let the straight lines AB, CD, in the circle ABDC, be equal to one another : they are...
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The British Annals of Education for ...: Being The Scholastic ..., Volume 1

Education - 1844
...not both pass through the centre, they do not bisect each other. 9. Equal straight lines in a circle are equally distant from the centre ; and those which...distant from the centre, are equal to one another. 10. In equal circles equal angles stand upon equal circumferences whether they be at the centres or...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1844 - 317 pages
...touch another on the inside in more than one point. PROP. XIV. THEOH. Equal straight lines in a circle are equally distant from the centre; and those which...are equally distant from the centre, are equal to on» another. Let the straight lines AB, CD, in the circle ABDC, be equal to one another : they are...
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Euclid in Paragraphs: The Elements of Euclid: Containing the First Six Books ...

Euclides - Geometry - 1845 - 199 pages
...than one. Therefore, one circle, &c. QED PROPOSITION 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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Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845
...XIV. THEOREM. Equal straight lines in a circle are equally distant from the centre; and conversely, 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. Then AB and CD shall be equally...
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The first six and the eleventh and twelfth books of Euclid's Elements; with ...

Euclides - Mathematics - 1845
...PROP. XIV. THEOR. — Equal chords in a circle are equally distant from the centre ; and (2) chords which are equally distant from the centre are equal to one another. Let the chords AB, CD, in the circle ABDC, be equal to one another ; they are equally distant from the...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - Euclid's Elements - 1846 - 317 pages
...touch another on the inside in more than one point. 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 ona another. Let the straight lines AB, CD, in the circle ABDC, be equal to one another : they are...
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The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846
...XIV. THEOR. Equal straight lines in a circle are equally distant from the centre ; and, conversely, 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 shall be equally distant...
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The definitions, postulates, axioms, and enunciations of the propositions of ...

Euclides - 1848
...whether it touches it on the inside or outside. PROP. 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. PROP. XV. THEOREM. The diameter is the greatest straight line in a circle ; and, of all others, that...
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The first three books of Euclid's Elements of geometry, with theorems and ...

Euclides - 1849
...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. Take E the centre of the circle ABDC, and from it draw KF, EG perpendiculars to AB, CD: Then, because...
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