Ball, W. W. Rouse (Walter William Rouse), 1850-1925 · London, Macmillan · leaf 66
erroneous reasoning or conclusions; but, as an illustration of such questions, I append a few demonstrations, leading to obviously impossible results. Perhaps they may amuse any one to whom they are new. I leave the discovery of the errors to the ingenuity of my readers. First Fallacy*. To prove… … indicated in the diagram. Bisect CB in H, and through H draw HO at right angles to CB. Bisect CH in K, and through K draw KO at right angles to CH. Since CB and CE£ are not parallel the lines HO and KO will meet (say) at O. Join OA, OE, OC, and OD. The triangles ODC and OAE are equal in all…
