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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 Melbourne University Calendar

University of Melbourne - 1916 - 974 pages
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Calendar

University of Cambridge - 1907 - 1636 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...is at right angles to the chord ; conversely, the jMjrpendicular to a chord from the centre bisects the chord. There is one circle, and one only, which...
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The Educational Directory and Yearbook of China

Education - 1916 - 428 pages
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Calendar

University of Cambridge - 1906 - 1720 pages
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ICSE Mathematics Part 2 for Class X

646 pages
...secant intersects the circle at two points. EF is a secant and PT is a tangent. T Tangent Theorem 1 A straight line drawn from the centre of a circle...is not a diameter, is at right angles to the chord. Given : AB is a chord of circle, centre O, ON bisects AB. ie AN = NB To Prove : ON is perpendicular...
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Paractical Geometry Based on the Various Geometry Books by Godfrey and Siddons

480 pages
...of symmetry we arrive at the following theorem, which may be stated in three forms. THEOREM 36. (i) A straight line, drawn from the centre of a circle...is not a diameter, is at right angles to the chord. (ii) The perpendicular to a chord from the centre bisects the chord. (iii) The perpendicular bisector...
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Practical Geometry

Thomas Tate (Mathematical Master, Training College, Battersea.) - 1860 - 404 pages
...circle at right angles to the chord will, if produced, pass through the centre of the circle. (ii) A straight line, drawn from the centre of a circle...is not a diameter, is at right angles to the chord. (iii) The perpendicular to a chord from the centre bisects the chord. tEx. 5. If a chord cuts two concentric...
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A Shorter Geometry

464 pages
...Prove that parallelograms on the same base and of the same altitude are equal in area. 6. Prove that a straight line drawn from the centre of a circle...is not a diameter, is at right angles to the chord; and, conversely, that the perpendicular to a chord from the centre bisects the chord. ACB is a chord...
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The New Geometry: Form One

G. P. West - Geometry - 1965 - 364 pages
...statement applies to angles, arcs and chords in a single circle. 8 CHORDS AND ARCS 267 THEOREM 35. (i) A straight line, drawn from the centre of a circle...is not a diameter, is at right angles to the chord. (ii) Conversely, the perpendicular to a chord from the centre bisects the chord. (i) Given. O is the...
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ICSE Mathematics Test Papers Class X

460 pages
...The locus is a straight line parallel to AB and 5 cm from AB. Chapter 19 CIRCLES Chord Properties 1. A straight line drawn from the centre of a circle...bisect a chord which is not a diameter, is at right angle to the chord. 2. The perpendicular to a chord from the centre bisects the chord. 3. Equal chords...
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