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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... "
Conditions of Recognition, Classification, and Payment of Teachers in the ... - Page 173
1923 - 237 pages
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Calendar

University of Cambridge - 1907 - 1636 pages
...the jMjrpendicular 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 circles for. in the same circle) (i) if two arcs subtend equal angles at the centres, they are equal ; (¡i)...
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The Bombay University Calendar, Volume 1

University of Bombay - 1909 - 982 pages
...centre bisects the chord. There is one circle, and one only, which passes through three given point* not in a straight line. In equal circles (or in the same circle) (il if two arcs subtend equal angle* at the centres, they are e<iual ; (ii) conversely, if two arcs...
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The Bombay University Calendar, Volume 1

University of Bombay - 1907 - 940 pages
...the perpendicular to a chord from the centre bisects the chord. There ia one circle, and one only, which passes through three given points not in a straight line. In equal eirolcs (or in the same circle) (i) if two arcs subtend equal angles at the centres they are equal...
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Elementary Geometry

Geometry - 1973 - 204 pages
...PAGE SECTION III. ARCS, ANGLES, CHORDS 226 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 .... 226 THEOREM 4....
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The Bombay University Calendar, Volume 1

University of Bombay - 1908 - 954 pages
...bisects the chord. There is one circle, ai»d one only, which развез through three given point» not in a straight line. ..— •. In equal circles (or in the same oirole) (i) if two aros subtend eqnal angles at the centres, they are equal ; (ii) conversely, if two...
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A Shorter Geometry

352 pages
...155 SECTION III. ARCS, ANGLES, CHORDS 156 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 PAGB THEOREM 4. In equal circles (or, in the same...
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A Shorter Geometry

464 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 ares are equal, they subtend equal angles at the centres. G (1) Data ABC, DEF...
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The Bombay University Calendar, Volume 1

University of Bombay - 1912 - 1228 pages
...the perpendictilar 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 eqnal circles (or in the same circle) (i) if two arcs subtend equal angles at the centres, they are...
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