=1822.= The “elements” of the Great Alexandrian remain for all time the first, and one may venture to assert, the _only_ perfect model of logical exactness of principles, and of rigorous development of theorems. If one would see how a science can be constructed and developed to its minutest details from a very small number of intuitively perceived axioms, postulates, and plain definitions, by means of rigorous, one would almost say chaste, syllogism, which nowhere makes use of surreptitious or foreign aids, if one would see how a science may thus be constructed one must turn to the elements of Euclid.--HANKEL, H. _Die Entwickelung der Mathematik in den letzten Jahrhunderten (Tübingen, 1884), p. 7._ =1823.= If we consider him [Euclid] as meaning to be what his commentators have taken him to be, a model of the most unscrupulous formal rigour, we can deny that he has altogether succeeded, though we admit that he made the nearest approach. --DE MORGAN, A. _Smith’s Dictionary of Greek and Roman Biography and Mythology (London, 1902); Article “Eucleides.”_ =1824.= The Elements of Euclid is as small a part of mathematics as the Iliad is of literature; or as the sculpture of Phidias is of the world’s total art.--KEYSER, C. J. _Lectures on Science, Philosophy and Art (New York, 1908), p. 8._ =1825.= I should rejoice to see ... Euclid honourably shelved or buried “deeper than did ever plummet sound” out of the schoolboys’ reach; morphology introduced into the elements of algebra; projection, correlation, and motion accepted as aids to geometry; the mind of the student quickened and elevated and his faith awakened by early initiation into the ruling ideas of polarity, continuity, infinity, and familiarization with the doctrines of the imaginary and inconceivable.--SYLVESTER, J. J. _A Plea for the Mathematician; Nature, Vol. 1, p. 261._ =1826.= The early study of Euclid made me a hater of geometry, ... and yet, in spite of this repugnance, which had become a second nature in me, whenever I went far enough into any mathematical question, I found I touched, at last, a geometrical bottom.--SYLVESTER, J. J. _A Plea for the Mathematician; Nature, Vol. 1, p. 262._