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Books Books 51 - 60 of 98 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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Examination papers used at the examinations for admission to the Royal ...

Sandhurst roy. military coll - 1859 - 1869 pages
...third angle of the other. VOLUNTARY PORTION. 1. Equal straight lines in a circle are equallydistant from the centre ; and those which are equally distant from the centre are equal to one another. 2. The straight lines drawn from the angles of a triangle to the middle points of the opposite sides...
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Euclid's Elements of plane geometry [book 1-6] explicitly enunciated, by J ...

Euclides - 1860
...cannot touch on the inside in more points than one. PROPOSITION 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. Given the chords AB and CD, in the circle ABDC, equal to one another ; to prove that they are equally...
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Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - Euclid's Elements - 1860 - 317 pages
...one. PROP. XIV. THEOR. Equal straight lines in a circle are equally distant from the centre; and thost 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 are equally distant frum...
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Examination papers used at the examination of candidates for appointment to ...

War office - 1861
...the greater angle shall be greater than the base of the 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. Describe a circle about a given triangle. 11. The sides about the equal angles of equiangular triangles...
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Euclid's plane geometry, books iii.-vi., practically applied; or, Gradations ...

Euclides - History - 1861
...14. — THEOn. 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. Cos. 1, HI. 12, I. To draw a perp. to a St. line from a point without it. Pst. 1. DEM. 3, III. Ax....
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Euclid's Elements of geometry, books i. ii. iii. iv

Euclides - 1862
...14.— 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. (References— Prop. I. 12, 47; III. 1, 3, def. 4.) Hypothesis I. — Let the straight lines AB, CD,...
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The college Euclid: comprising the first six and the parts of the eleventh ...

Euclides - 1865
...than one, whether it tonch it on the inside or outside. Prop. 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. 1 5. The diameter is the greatest straight line in a circle ; and, of all others, that which...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Isaac Todhunter - Euclid's Elements - 1867 - 400 pages
...points than one. Wherefore, one circle &c. QED PROPOSITION 14. 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. 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 for the Use of Schools and Colleges;: Comprising the ...

Euclid, Isaac Todhunter - Geometry - 1867 - 400 pages
...than one. Wherefore, one circle &c. QED PROPOSITION 14. THEOREM. Equal straight lines in a circleare equally distant from the centre: and those which are...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 EDINBURGH UNIVERSITY CALENDAR 1871-72

EDWARD RAVENSCROFT - 1871
...by the two parts, together with the square of the foresaid part. 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. Multiply 3-r 2 —y* + 2xy by 2x*—yy +y*. 6. Solve the equations— 3 i . fi ._ i. -I* .,, —...
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