Ball, W. W. Rouse (Walter William Rouse), 1850-1925 · London, Macmillan · leaf 68
of theerroneous reasoning or conclusions; but, as an illustration ofsuch questions, I append a few demonstrations, leading toobviously impossible results. Perhaps they may amuse any oneto whom they are new. I leave the discovery of the errors tothe ingenuity of my readers. First Fallacy*, To prove… … indicated in the diagram. Bisect CB in //, and through Hdraw HO at right angles to GB. Bisect CE in K, and throughK draw KO at right angles to CE. Since CB and CE are notparallel the lines HO and KO will meet (say) at 0. Join OA,OE, OC, and OD. The triangles ODG and DAE are equal in all…
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