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Elements of geometry : containing books I to III (1886)
Smith, J. Hamblin · Toronto : W.J. Gage · leaf 130
And the figure is said to be inscribed in the circle. Book III] FFOFOSI7VOX I. 23 Proposition I. Theorem. The line, which bisects a chord of a circle at right angles,must contain the cen. … Let ABC he the given ©.Let the st. line CE bisect the chord AB at rt. angles in D. Then the centre of the G must lie in CE. For if not, let 0, a pt. out of CE, be the centre ;and join OA, OD, OB. Then, in as ODA, ODB,V AD = BD, and DO is common, and OA = OB; .: l ODA = / ODB; I. c. and .-. l ODB is…Geometry
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