Inside Out Library
Elements of geometry : containing books I to III (1886)
Smith, J. Hamblin · Toronto : W.J. Gage · leaf 150
Ami the circle i lid to be inscribed in the figure. Book III. 1 PROPOSITJOX XVI. H3 Proposition XVI. Theorem. The straight lim drawn at right angles to th ilia meter of acircle, from the extremity of it, is a tangent to the circle. … Let ABC be a ©, of which the centre is O, and the diameter Through B draw DE at right angles to A OB. I. 11.Then must DE bt a tangent to th ■ .Take any point P in DE, and join OP.Then, V _ OBP is a right angle,.. _ OPB is less than a right angle, I. 17. and .-. OP is greater than OB. I. 10. Hence P…Geometry
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