ADVERTISEMENT THERE are already so many and such excellent editions of Euclid that to offer another, though only of Books I. and II., . may be considered both superfluous and presuming. Yet, it would be somewhat rash, on the other hand, to say that we have arrived at perfection in the matter, and that no further attempts at improvement in the publication of Euclid—for beginners, at least-need be made. Every teacher of Euclid knows, and a long experience has confirmed the knowledge in myself, that the better the mere typical arrangement of the text, the more attractive the study of Euclid in itself is, and the quicker, and more complete, is the progress which the beginner makes. If, further, the text can be expressed more distinctly, and be brought more fully within the boy's comprehension, so that he can readily perceive what he really has to do in 'learning a Proposition,' as it is called, and be led to put a definite value upon the statement of the abstract truths he finds demonstrated, then every possible aid is afforded him in his often difficult and uninteresting work. These two points are aimed at in this edition of Euclid, as strictly a book for beginners. If the way can be smoothed thus far, the rest of the road is fully open. As regards the first requisite, the typical arrangement of the text, it is hoped that the distinct expression, in red ink, of the particular enunciation with reference to the figure employed, and the special statement of the point or points to 33058 |