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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... "
Theoretical Geometry: Based on the Various Geometry Books by Godfrey and Siddons - Page 76
by Arthur Warry Siddons, Reginald Thomas Hughes - 1926 - 173 pages
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The complete measurer: or, The whole art of measuring, containing the ...

Thomas Keith - 1817 - 306 pages
...of III. Coral.) z. If a diameter bisects a chord, it cuts it at right angles, (EUCLID 3 °/HI') 3. A straight line drawn from the centre of a circle to bisect a chord, bisects the arc likewise, (Ktitb,s Euclid 3 of III, note 17), and cuts the ckord at right angles. Example...
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Elementary Geometry: Practical and Theoretical

Charles Godfrey, Arthur Warry Siddons - Geometry - 1903 - 384 pages
...1153. What symmetry is possessed by (i) a sector, (ii) a segment, (iii) an arc, of a circle? THEOREM 1. A straight line, drawn from the centre of a circle...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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The School World: A Monthly Magazine of Educational Work and Progress, Volume 5

Education - 1903 - 692 pages
...the pair of straight lines which bisect the angles between the two given lines. The Circle. — The straight line, drawn from the centre of a circle to...perpendicular to a chord from the centre bisects the chord. There is one circle, and one only, which passes through three given points not in a straight line....
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Calendar, Part 1

University of Calcutta - Universities and colleges - 1907 - 458 pages
...consists of the pair of straight lines which bisect the angles between the two given lines. The Circle. A straight line drawn from the centre of a circle...perpendicular to a chord from the centre bisects the chord. There is one circle, and one only, which passes through three given points not in a straight line....
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The New Zealand University Calendar, Volume 35

University of New Zealand - 1907 - 422 pages
...bisect the angles between the two given lines. The Circle. A straight line, drawn from the centre of the circle to bisect a chord which is not a diameter,...perpendicular to a chord from the centre bisects the chord. i There is one circle, and one only, which passes through three given points not in a straight line....
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Calendar

University of Allahabad - 1907 - 528 pages
...consists of the pair of straight lines which bisect the angles between the two given 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 the perpendicular to a chord from the centre...
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Calendar

University of Allahabad - 1908 - 568 pages
...consists of the pair of straight lines which 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 the diameter is at right angles to the chord ; conversely the perpendicular to a chord from the centre...
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Atti Del ... Congresso Internazionale Dei Matematici ...

Mathematics - 1909 - 605 pages
...consists of the pair of straight lines which bisect the angles between the two given lines. The Circle. A straight line, drawn from the centre of a circle...perpendicular to a chord from the centre bisects the chord. There is one circle, and one only, which passes through three given points not in a straight line....
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Calendar

University of Allahabad - 1909 - 638 pages
...of straight lines which bisect the angles between the two given lines. THE CIRCLE. A straight linn drawn from the centre of a circle to bisect a chord which is not the diameter is at right angles to the chord ; conversely the perpendicular to a chord from the centre...
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The Teaching of Mathematics in the United Kingdom

Great Britain. Board of Education - Mathematics - 1912 - 632 pages
...consists of a pair of straight lines which bisect the angles between the two given lines. The Circle. 23. A straight line, drawn from the centre of a circle...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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