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" There is one circle, and one only, which passes through three given points not in a straight line. In equal circles (or, in the same circle) (i) if two arcs subtend equal angles at the centres, they are equal; (ii) conversely, if two arcs are equal, they... "
Calendar - Page 120
by University of Calcutta - 1908
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The School World: A Monthly Magazine of Educational Work and Progress, Volume 5

Education - 1903 - 692 pages
...they are equal; (ii.) conversely, if two arcs are equal, they subtend equal angles at the centres. In equal circles (or, in the same circle) (i. ) if...the converse. The tangent at any point of a circle and the radius through the point are perpendicular to one another. If two circles touch, the point...
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Elementary Geometry: Practical and Theoretical

Charles Godfrey, Arthur Warry Siddons - Geometry - 1903 - 384 pages
...In equal circles (or, in the same circle) (1) if two chords are equal, they cut off equal arcs. (2) Conversely, if two arcs are equal, the chords of the arcs are equal. fig. 222. (1) Data ABC, DEF are equal Qs; their centres are P and Q. Chord AB = chord DE. To prove...
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The New Zealand University Calendar, Volume 34

University of New Zealand - 1906 - 408 pages
...line. In equal circles (or, in the same circle) (i) if two arcs subtend equal angles at the centres, they are equal ; (ii) conversely, if two arcs are...the converse. The tangent at any point of a circle and the radius through the point are perpendicular to one another. If two circles touch, the point...
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Calendar

University of Allahabad - 1907 - 528 pages
...they are equal ; (ii) conversely, if two arcs are equal, they subtend equal angles at the centres. In equal circles (or in the same circle) (i) if two...equal the chords of the arcs are equal. Equal chords in a circle are equidistant from the centre ; and the converse. The tangents at any point of a circle...
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Calendar

University of Birmingham - 1907 - 668 pages
...at the centres. In equal circles (or, in the same circle) (i) if two chords are equal, they cut ott equal arcs ; (ii) conversely, if two arcs are equal, the chords of the arcs are equal. Kqual chords of a circle are equidistant from the centre; and the converse. The tangent at any point...
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Calendar

University of Allahabad - 1908 - 568 pages
...they are equal; (ii) conversely, 'if two arcs are equal, they subtend equal angles at the centres. In equal circles (or in the same circle) (i) if two...equal the chords of the arcs are equal. Equal chords in a circle are equidistant from the centre ; and the converse. The tangents at any point of a circle...
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Atti Del ... Congresso Internazionale Dei Matematici ...

Mathematics - 1909 - 605 pages
...centres, they are equal; (ii) conversely, if two arcs are equal, they subtend equal angles at the centres. In equal circles (or, in the same circle) (i) if two...Equal chords of a circle are equidistant from the centres; and the converse. The tangent at any point of a circle and the radius through the point are...
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Calendar

University of Allahabad - 1909 - 638 pages
...centres, they are equal; (ii) conversely, if two arcs are equal, they subtend equal angles at the centres. In equal circles (or in the same circle) (i) if two chords ure equal, they cut off equal arcs ; (ii) conversely, if two arcs are equal the chords of thu arcs...
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The Melbourne University Calendar

University of Melbourne - 1909 - 984 pages
...they are equal ; (ii.) conversely, if two arcs are equal, they subtend equal angles at the centres. In equal circles (or, in the same circle) (i.) if two chords arc equal, they cut of equal arcs ; (ii.) conversely, if two arcs are equal, the chords of the arcs...
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Calendar

University of Allahabad - 1911 - 726 pages
...they are equal ; (ii) conversely, if two arcs are equal, they subtend equal angles at the centres. In equal circles (or in the same circle) (i) if two chords are equal, they cut off equal arcs ; (iit conversely, if two arcs are equal the chords of the arcs are equal. Equal chords in a circle...
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