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Books Books 11 - 20 of 92 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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Euclid's Elements of geometry, transl. To which are added ..., Books 1-6

Euclides - 1826
...without ACK, c which is absurd. Therefore one circle, PROPOSITION XIV. THEOREM.* In a circle equal right lines are equally distant from the centre, and those...which are equally distant from the centre are equal to another. lines AB, CD. They are equally distant from the centre. Let ABDC be a circle, and in it the...
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Elements of Geometry, Containing the First Six Books of Euclid

Euclid, Phillips - 1826 - 180 pages
...without ACK,C which is absurd. Therefore one circle, PROPOSITION XIV. THEOREM.* In a circle equal right lines are equally distant from the centre, and those...which are equally distant from the centre are equal to another. Let ABDC be a circle, and in it the two equal right lines AB, CD. They are equally distant...
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Elements of arithmetic, algebra and geometry

George Lees - 1826
...straight line EH less than FK. Wherefore, the diameter, &c. QED Cor. Equal straight lines in a circle are equally distant from the centre ; and 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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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - Trigonometry - 1827 - 513 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 shall be equally distant...
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Elements of geometry: Being chiefly a selection from Playfair's geometry

Francis Nichols - Mathematics - 1829 - 186 pages
...XIV. THEOREM. Equal chords in a circle are equally distant from the centre ; and chords in a circle which are equally distant from the centre are equal to one another. 1. Let the chords AB, CD, in the circle ABDC, be equal to each other; they are equally distant from...
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Geometry, Plane, Solid, and Spherical, in Six Books: To which is Added, in ...

Pierce Morton - Geometry - 1830 - 272 pages
...nearer to the centre than FG is. Therefore, &c. Cor. (Eue. iii. 14.) 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. 5. (Eue. iii. 9.) If a point be taken, from which to the nrcumfercnce of a circle there fall...
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Elements of geometry: containing the first six books of Euclid, with a ...

John Playfair - Euclid's Elements - 1833 - 333 pages
...one circle, &c. QED PROP. XIV. THEOR. Equal straight lines in a circle arc equally distant from tJie centre; and those which are equally 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 distant...
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The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1834
...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 are equally distant front the centre are equal to one another. Let the straight lines AB, CD, in the circle ABDC, be equal...
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The Element of Geometry

John Playfair - Trigonometry - 1836 - 114 pages
...equal to FB. Wherefore, if a straight line, &c. QED PROP. VI. 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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