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" A straight line, drawn from the centre of a circle to bisect a chord which is not a diameter, is at right angles to the chord ; conversely, the perpendicular to a chord from the centre bisects the chord. There is one circle, and one only, which passes... "
The New Zealand University Calendar - Page 68
by University of New Zealand - 1905
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The School World: A Monthly Magazine of Educational Work and Progress, Volume 5

Education - 1903 - 692 pages
...the angles between the two given lines. The Circle. — The straight line, drawn from the centre of a circle to bisect a chord which is not a diameter,...through three given points not in a straight line. In equal circles (or, in the same circle) (i.) if two arcs subtend equal angles at the centres, they...
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Elementary Geometry: Practical and Theoretical

Charles Godfrey, Arthur Warry Siddons - Geometry - 1903 - 384 pages
...sector, (ii) a segment, (iii) an arc, of a circle? THEOREM 1. A straight line, drawn from the centre of a circle to bisect a chord which is not a diameter,...perpendicular to a chord from the centre bisects the chord. (1) Data OD is a straight line joining O, the centre of ŠABC, to D, the mid.point of the chord AB....
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Calendar, Part 1

University of Calcutta - Universities and colleges - 1907 - 458 pages
...bisect the angles between the two given lines. The Circle. A straight line drawn from the centre of a circle to bisect a chord which is not a diameter,...through three given points not in a straight line. In equal circles (or in the same circle) (i) if two arcs subtend equal angles at the centre, they are...
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Calendar

University of Allahabad - 1907 - 528 pages
...lines. THE CIBOLE. A straight line drawn from the centre of a circle to bisect a chord which is not the diameter is at right angles to the chord ; conversely...through three given points not in a straight line. In equal circles (or in the same circle) (i) if two arcs subtend equal angles at the centres, they...
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Calendar

University of Allahabad - 1908 - 568 pages
...lines. THE CIRCLE. A straight line drawn from the centre of a circle to bisect a chord which is not the diameter is at right angles to the chord ; conversely...through three given points not in a straight line. In equal circles (or in the same circle) (i) if two arcs subtend equal angles at the centres, they...
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Report of the Secretary for Public Instruction ..., Volume 32

Queensland. Department of Public Instruction - Education - 1908 - 134 pages
...the distance of the point A from the mid-point of the hypotenuse is equal to half the hypotenuse. 9. There is one circle, and one only, which passes through three given points not in a straight line. 10. Through a point 1J inch outside a circle of radius IJinch draw a line to pass at a distance of...
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Atti Del ... Congresso Internazionale Dei Matematici ...

Mathematics - 1909 - 605 pages
...bisect the angles between the two given lines. The Circle. A straight line, drawn from the centre of a circle to bisect a chord which is not a diameter is...through three given points not in a straight line. In equal circles (or, in the same circle) (i) if two arcs subtend equal angles at the centres, they...
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Calendar

University of Allahabad - 1910 - 682 pages
...lines. THE CIRCLE. A straight line drawn from the centre of a circle to bisect a chord which is not the diameter is at right angles to the chord ; conversely...passes through three given points not in a straight liue. In equal circles' (or in the same circle) (i) if two arcs subtend equal angles at the centres,...
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Calendar

University of Allahabad - 1912 - 918 pages
...lines. THE CIRCLE. A straight line drawn from the centre of a circle to bisect a chord which is not the diameter is at right angles to the chord ; conversely...chord. There is one circle, and one only, which passes throngh three given points not in a straight line. In equal circles (or in the same circle) (i) if...
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The Teaching of Mathematics in the United Kingdom

Great Britain. Board of Education - Mathematics - 1912 - 632 pages
...the angles between the two given lines. The Circle. 23. A straight line, drawn from the centre of a circle to bisect a chord, which is not a diameter,...perpendicular to a chord from the centre bisects the chord. 24. There is one circle, and one only, which passes through three given points not in a straight line....
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