Elements of geometry : containing books I to III (1886)
Smith, J. Hamblin · Toronto : W.J. Gage · leaf 166
the circle, thai Book III. 1 NOTE 4. IW Note 4. On the Syrmnetrical j *ro\ erties of the Circle withregard to its diameter. The brief remarks on Symmetry in pp. 107, 108 may nowhe extended in the Gojlowing way : A figure is said to be symmetrical with regard to a line,when every perpendicular to… … Further, suppose AB to be a diameter of the circleiCBI), of which 0 is the centre, and CD to be a chordperpendicular to AB. Then, if lines be drawn as in the diagram, we know thatAh bisects (1.) The chord CD, III. I. (2.) The arcs CAD and CBD, III. 26. (3.) The angles CAD, COD, CBD, and the…
Geometry
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