| 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... | |
| Education - 1916 - 428 pages
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| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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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