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Elements of geometry : containing books I to III (1886)
Smith, J. Hamblin · Toronto : W.J. Gage · leaf 148
, .: AP=CQ, I. K.Cor. and .-. A li= < Ex. In a circle, whoso diameter is 10 inches, a chord isdrawn, which i> B inches long. It another chord he drawn, ata distance ol 3 inches from the centre, shew wheth< r it is equalor not to the Former. Book m.J PROPOStTIOX XV. 14! Proposition XV.… … Let AB be a diameter of the © ABDC, whose centre is 0,and let CD be any other chord, not a diameter, in the ©,nearer to the centre than the chord EF. Then must AB be greater than CD, and CD greater than EF.Draw OP, OQ J. to CD and EF ; and join DC, OD, OE. Then ■. • A 0 - CO, and OB = OD, I. Def.…Geometry
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