Elements of geometry : containing books I to III (1886)
Smith, J. Hamblin · Toronto : W.J. Gage · leaf 165
1. If, in a circle ABCD, the chord AB be equal to thechord DC, AD must be parallel to BC. Ex. 2. If a straight line, drawn from A the middle pointof an arc BC, touch the circle, shew that it is parallel to thechord BC. Ex. 3. If two equal chords, in a given circle, cut one an-other, the segments of… … Let ABC, DEFbe equal circles, and let BC, EF be chordasubtending the equal area BGO, i.HF. Thm must chord BC = cAord /J . Take the centres B . Then, if • ABCbe applied to • DOT, so that A coincides with /., an.I /; with E, and an- /,v,v falls on arc EHF, :■ arc BGC arc /:///•, .. 0 will coincide…
Geometry
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