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Books Books 21 - 30 of 95 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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The teacher's assistant in the "Course of mathematics adapted to the method ...

Jeremiah Day - Mathematics - 1836 - 472 pages
...points than one, whether il touches it on the inside or outside. XIV. Equal straight lines in a circle are equally distant from the centre ; and those which...distant from the centre are equal to one another. XV. The diameter is the greatest straight line in a circle ; and of all others, that which is nearest...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair, William Wallace - Euclid's Elements - 1836 - 471 pages
...one circle, &c. QED PROP. XIV. THEOR. Equal straight lines in a circle are equally distant from Hie centre; and those which are equally distant from the centre, are equal to one anoifier. Let the straight lines AB, CD, in the circle ABDC, be equal to one another ; they are equally...
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Elements of plane geometry according to Euclid

Andrew Bell, Robert Simson, John Playfair - Euclid's Elements - 1837 - 240 pages
...cannot touch on the inside in more points than one. PKOPOSITION XIV. THEOREM. Equal chords in a circle are equally distant from the centre ; and those which...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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A companion to Euclid: being a help to the understanding and remembering of ...

Euclides - 1837
...which shows the supposition to be false. PROPOSITION XIV. Theorem. 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. j> Steps of the Demonstration to Part 1st. 1. Prove that AF = FB, and .'. AB s= 2 AF,...
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The First Six and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid - Mathematics - 1837 - 390 pages
...&c. 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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Euclid's Elements [book 1-6] with corrections, by J.R. Young

Euclides - History - 1838
...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 shall be equally distant...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Euclid - Trigonometry - 1838 - 416 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. * See Note. B Let the straight lines AB, CD, in the circle ABDC, be equal to one another : they are...
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Minutes of the Committee of Council on Education

Great Britain. Committee on Education - Schools - 1853
...unsatisfactory. . 1 . 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. 2. About a given circle, to describe a triangle equiangular to a given triangle. 3. If two triangles...
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The Elements of Euclid; viz. the first six books,together with the eleventh ...

Euclides - 1841
...Therefore, one circle, &c. QED PROP. XIV. THEOR. Equal straight lines in a circle are equally distant Jrom the centre; and 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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Elements of geometry: consisting of the first four,and the sixth, books of ...

Euclides - History - 1842
...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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