PART II. THE CIRCLE AND PROPORTION. BY J. M. WILSON, M.A. FELLOW OF ST JOHN'S COLLEGE, CAMBRIDGE, London and Cambridge: 1868 [All Rights reserved.] SECTION I. PROPERTIES OF CENTRE. THEOREM I. Rotatory Properties of the Circle. Equal arcs of a circle subtend equal angles at the centre, and have equal chords; and conversely, equal angles at the centre cut off THEOREM 2. Symmetry of the Circle with respect to its Diameter. THEOREM 3. One circle, and only one circle, can be drawn to THEOREM 4. Equal chords of a circle are equally distant from the centre, and conversely; and of two unequal chords the greater is nearer to the centre than the less, and conversely |