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Books Books 61 - 70 of 99 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 Elements of Plane and Solid Geometry

Henry William Watson - Geometry - 1871 - 285 pages
...above. PROPOSITION 7. In the same circle equal chords are equally distant from the centre, and chords which are equally distant from the centre are equal to one another ; and similarly for equal circles. 1st. Let BC and DE be two equal chords in the circle BCDE, whose...
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides - Geometry - 1872 - 349 pages
...PROPOSITION XIV. THEOREM. Equal chords 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 chords AB, CD in the © ABDC be equal. Then must AB and CD be equally distant from the centre O....
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Elements of geometry, containing the first two (third and fourth) books of ...

Euclides - 1872
...PROPOSITION XIV. THEOREM. Equal chords 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 chords AB, CD in © ABDCbe equal. Then must AB and CP be equally distant from the centre O. Draw...
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The acting teacher's and student's in training guide and text book for ...

Henry Major - Student teachers - 1873
...cannot touch another on the outside at more points than one. XTV. — 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 AB, CD in ABDC, be equal to one another; they are equally distant from the centre. Take E, the centre...
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The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874
...— 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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Euclidian geometry

Francis Cuthbertson (geometer.) - 1874
...35) but square on AR = square on CS; .-. square on RQ = square on SQ; Conversely: Chords in a circle which are equally distant from the centre are equal to one another. -Let the chords AB, CD of the ®ABC be equally distant from the centre Q; that is, let the perpendiculars...
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Elements of geometry, based on Euclid, Books 1-3

Edward Atkins - 1876
...— Theorem. i Equal straight tines 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 they shall bo equally...
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The Elements of Plane and Solid Geometry: With Chapters on Mensuration and ...

Isaac Sharpless - Geometry - 1879 - 266 pages
...the sum of the radii, the two circles will touch externally. Proposition 12. Theorem.—Equal chords are equally distant from- the centre; and those which...distant from the centre are equal to one another. Let the chords AB, CD in a circle be equal to each other; they will be equally distant from the centre....
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In literis Graecis et Latinis

Oxford univ, exam. papers, 1st publ. exam - 1879
...line and of the square on the line between the points of section. 4. Equal straight lines in a circle are equally distant from the centre : and those which...distant from the centre are equal to one another. 5. About a given circle describe a triangle equiangular to a given triangle. 6. Define — proportionals,...
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Report of Her Majesty's Civil Service Commissioners: Together ..., Volume 23

Great Britain. Civil Service Commission - 1879
...circle. 6. 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. 7. In a circle, the angle in a semicircle is a right angle, but the angle in a segment greater than...
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