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" 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. "
Geometry, Plane, Solid, and Spherical, in Six Books: To which is Added, in ... - Página 79
por Pierce Morton - 1830 - 272 páginas
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Twelve years' Queen's scholarship questions

Education Ministry of - 1882 - 292 páginas
...the straight line made up of that side and the straight line intercepted as in the proposition. 2. Equal straight 'lines in a circle are equally distant from the centre. AB, AO are two equal chords of a circle at right angles to each other. Show that they are sides of...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1883 - 428 páginas
...points than one. PROPOSITION 14. THEOREM. Equal straight lines in a circle are equally distant from ihe centre: and 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 : they shall be equally distant...
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Glasgow University Calendar

University of Glasgow - 1883 - 438 páginas
...diagonals of a parallelogram be drawn, each of the triangles formed is one-fourth of the parallelogram. 3. Equal straight lines in a circle are equally distant from the centre, and of two lines in a circle the greater is nearer the centre than the less. 2. Describe a square equal...
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Woolwich mathematical papers [aftwerw.] Mathematical papers for admission ...

Woolwich roy. military acad - 1884 - 148 páginas
...produced, prove the square on AB is equal to twice the rectangle contained by BC and BD. 6. Prove that equal straight lines in a circle are equally distant from the centre. Shew that all equal straight lines in a circle may be touched by another circle. 7. When are segments...
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Stewart's guide-book to the queen's scholarship and certificate examinations ...

Stewart W. and co - 1884 - 146 páginas
...rectangle MN NP + twice square on MN. By Ax. 1. Therefore square on MO = twice rectangle MP MN. QED 2. (a) Equal straight lines in a circle are equally distant from the centre. (b) AB are two equal chords of a circle at right angles to each other. Shew that they are sides of...
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The Civil service year book and official calendar

1884 - 266 páginas
...obtained for three.fourths of this paper. 1. Prove geometrically that 2. Straight lines in a circle, which are equally distant from the centre, are equal to one another. Prove this, and draw a straight line to touch one given given circle, so that the part of it contained...
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Cambridge University Examination Papers.Michaelmas Term,1884 to Easter Term ...

Cambridge University Examination Papers.Michaelmas Term,1884 to Easter Term,1885.Volume XIV - 1885 - 652 páginas
...with the square on the line between the points of section, is equal to the square on half the line. 5. Equal straight lines in a circle are equally distant...distant from the centre are equal to one another. 6. If a straight line touch a circle, and from the point of contact a straight line be drawn cutting...
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Annual Report of the Chief Superintendent of Education

1885 - 604 páginas
...Time, 1 hour -SO min. 1. 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. 2. If two cords in a circle cut one another, the rectangle contained by the segments of one of them,...
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Annual Report

Canada. Department of the Interior - 1888 - 756 páginas
...(a—x) (a— x) 5. Describe a square which shall be equal to a given rectilineal figure. 6. Eqnal straight lines in a circle are equally distant from...those which are equally distant from the centre are eqnal to one another. 7. Similar segments of circles on eqnal straight lines are equal to one another....
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Annual Report of the Schools of New Brunswick ... by the Chief ...

New Brunswick. Board of Education - 1889 - 1004 páginas
...the same centre. 2. 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. 3. When two circles intersect, their common cord bisects their common tangent. 4. In a given circle...
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