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Elements of geometry : containing books I to III (1886)

Smith, J. Hamblin · Toronto : W.J. Gage · leaf 140

An illustration from Elements of geometry : containing books I to III, 1886, leaf 140
more than two st.lines OA, OB, OC, drawn to the Oce, are equal. Then must Oh th centre of the 0. Join AB, BC, and draw OD, OE ± to AB, BC.0 I OB. and OD i Then in the right-angled as AOD, BOD, .-. AD=DB;.. the centre <>( the • is in DO.Similarly it may be shown th i the centre of the <3 is… … If it be possible, let ABC and ABE be two ©s which havemore than two pts. in common, as A, B, C. Join AB, BC. Then v AB is a chord of each circle, .. the centre of each circle lies in the straight line, whichbisects AB at right angles ; III. 1. and V BC is a chord of each circle, .*. the centre of…

Geometry

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