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Books Books 51 - 60 of 100 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 direct commissions [&c.].

War office - 1858 - 12 pages
...the points of section is equal to the square of half the line. 2. Equal straight lines in a circle are equally distant from the centre ; and those which...distant from the centre are equal to one another. VOLUNTARY PORTION. 1. Define the sine of an angle, and find the sine of an angle of 30, and of an...
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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 - 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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