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 120by University of Calcutta - 1908Full view - About this book
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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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