=922.= In the year 1692, James Bernoulli, discussing the logarithmic spiral [or equiangular spiral, ρ = α^θ] ... shows that it reproduces itself in its evolute, its involute, and its caustics of both reflection and refraction, and then adds: “But since this marvellous spiral, by such a singular and wonderful peculiarity, pleases me so much that I can scarce be satisfied with thinking about it, I have thought that it might not be inelegantly used for a symbolic representation of various matters. For since it always produces a spiral similar to itself, indeed precisely the same spiral, however it may be involved or evolved, or reflected or refracted, it may be taken as an emblem of a progeny always in all things like the parent, _simillima filia matri_. Or, if it is not forbidden to compare a theorem of eternal truth to the mysteries of our faith, it may be taken as an emblem of the eternal generation of the Son, who as an image of the Father, emanating from him, as light from light, remains ὁμοούσιος with him, howsoever overshadowed. Or, if you prefer, since our _spira mirabilis_ remains, amid all changes, most persistently itself, and exactly the same as ever, it may be used as a symbol, either of fortitude and constancy in adversity, or, of the human body, which after all its changes, even after death, will be restored to its exact and perfect self, so that, indeed, if the fashion of Archimedes were allowed in these days, I should gladly have my tombstone bear this spiral, with the motto, “Though changed, I arise again exactly the same, _Eadem numero mutata resurgo_.”--HILL, THOMAS. _The Uses of Mathesis; Bibliotheca Sacra, Vol. 32, pp. 515-516._ =923.= Babbage was one of the founders of the Cambridge Analytical Society whose purpose he stated was to advocate “the principles of pure _d_-ism as opposed to the _dot_-age of the university.”--BALL, W. W. R. _History of Mathematics (London, 1901), p. 451._ =924.= Bolyai [Janos] when in garrison with cavalry officers, was provoked by thirteen of them and accepted all their challenges on condition that he be permitted after each duel to play a bit on his violin. He came out victor from his thirteen duels, leaving his thirteen adversaries on the square.--HALSTED, G. B. _Bolyai’s Science Absolute of Space (Austin, 1896), Introduction, p. 29._ =925.= Bolyai [Janos] projected a universal language for speech as we have it for music and mathematics.--HALSTED, G. B. _Bolyai’s Science Absolute of Space (Austin, 1896), Introduction, p. 29._ =926.= [Bolyai’s Science Absolute of Space]--the most extraordinary two dozen pages in the history of thought! --HALSTED, G. B.