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Books Books 41 - 50 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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The first three books of Euclid's Elements of geometry, with theorems and ...

Euclides - 1849
...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. Take E the centre of the circle ABDC, and from it draw KF, EG perpendiculars to AB, CD: Then, because...
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The Calendar of King's College, London

King's College (University of London) - 1850
...perpendicular let fall upon it from the opposite angle, and the acute angle. 4. Equal right lines in a circle are equally distant from the centre; and those which are equally distant from the centre are equal to each other. • ,. In a circle, the angle in a semicircle is a right angle; but the angle in a segment...
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THE PRINCIPLES OF THE SOLUTION OF SENATE-HOUSE 'RIDERS'

FRANCIS J. JAMESON - 1851
...1848. (A). 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, (in. 14.) (E). Shew that all equal straight lines in a circle will be touched by another circle. *...
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A collection of problems and examples, adapted to the "Elementary course of ...

Harvey Goodwin - Mathematics - 1851 - 173 pages
...the line. 4. 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. Shew that all equal straight lines in a circle will be touched by another circle. 5. The angle at the...
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Papers for the Schoolmaster, Volume 2

1852
...DIVISION II. 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 i triangle equiangular to a given triangle. 3. If two triangles...
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durham university calendar, 1851

77 - 1851
...7. Equal straight lines in a circle are equally distant from the centre ; and those straight lines which are equally distant from the centre are equal to one another. 8. If from a point without a circle two straight lines he drawn, one of which cuts the circle and the...
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The synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853
...points than one. Therefore, one circle, &c. PROP. XIV. - 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 ; the; are equally distant from...
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The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich, Thomas Stephens Davies, Stephen Fenwick, William Rutherford - Mathematics - 1853
...than one. Therefore, one circle. etc. QE i>. PROPOSITION 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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The first six books of the Elements of Euclid, with numerous exercises

Euclides - 1853
...one. Therefore, one circle, <fcc. QED PROPOSITION XIV. — THEOREM. Equal straight lines in a circle are equally distant from the centre, and those which are equally distant from tlie centre are equal to one another. LET the straight lines ab, cd, in the circle a bdft be equal...
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Cambridge examination papers: a suppl. to the University calendar, 1856-59

Cambridge univ, exam. papers - 1856
...circles cut one another, they shall not have the same centre. 11. Equal straight lines in a circle are equally distant from the centre ; and those which...distant from the centre, are equal to one another. 12. The angle at the centre of a circle is double of the angle at the circumference, upon the same...
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