 | Charles Godfrey, Arthur Warry Siddons - Geometry - 1903 - 384 pages
...polygon. SECTION III*. ARCS, ANGLES, CHORDS. THEOREM 3. In equal circles (or, in the same circle) (1) if two arcs subtend equal angles at the centres, they are equal. (2) Conversely, if two arcs are equal, they subtend equal angles at the centres. fig. 220. (1) Data... | |
 | University of New Zealand - 1906 - 408 pages
...the 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...two arcs are equal, they subtend equal angles at the centre. In equal circles (or, in the same circle) (i) if two chords are equal, they cut off equal arcs... | |
 | University of Calcutta - Universities and colleges - 1907 - 458 pages
...the 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...circle) (i) if two arcs subtend equal angles at the centre, they are equal, (ii) conversely, if two arcs are equal, they subtend equal angles at the centre.... | |
 | University of Allahabad - 1909 - 638 pages
...the 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. In equal circle (or in the same circle) (i) if two arcs subtend equal angles at the centres, they are equal;... | |
 | University of Allahabad - 1910 - 682 pages
...There is one circle, and one only, which passes through three given points not in a straight liue. In equal circles' (or in the same circle) (i) if two...the centres, they are equal ; (ii) conversely, if trwo arcs are equal, they subtend equal angles at the centres. In equal circles (or in the same circle)... | |
 | University of Allahabad - 1911 - 726 pages
...the 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...equal circles (or in the same circle) (i) if two arcs subteud equal angles at the centres, they are equal ; (ii) conversely, if two arcs are equal, they... | |
 | Great Britain. Board of Education - Education - 1912 - 1044 pages
...There is one circle, and one only, which passes through three given points not in a straight line. 25. In equal circles (or, in the same circle), (i) if...are equal, they subtend equal angles at the centres, 26. In equal circles (or, in the same circle), (i) if two chords are equal, they cut off equal arcs... | |
 | University of South Africa - Universities and colleges - 1913 - 768 pages
...chord bisects the chord. There ¡я one circle and only one which passes through three given points u^t in a straight line. In equal circles or in the same circle, if two angles at the centre ;ire equal, the corresponding arcs and chords are equal. 1ntersection and... | |
 | University of Calcutta - 1914 - 430 pages
...perpendicular to a chord from the centre bisects :o the chord. 'A There is one circle, and one only, which passes through three given points not in a straight...circle) (i) if two arcs subtend equal angles at the centre, 'they are equal, (ii) conversely, if two arcs are equal, they subtend equal angles at the centre.... | |
 | Education - 1915 - 906 pages
...the perpendicular to a chord from the center bisects the chord. There is one circle, and one only, which passes through three given points not in a straight...circle) (i) if two arcs subtend equal angles at the centers, they are equal; (ii) conversely, if two arcs are equal, they subtend equal angles at the center.... | |
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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... 
