By John Casey LL.D.

This variation of the weather of Euclid, undertaken on the request of the principals of a few of the best faculties and faculties of eire, is meant to provide a wish a lot felt through academics at this time day the construction of a piece which, whereas giving the unrivalled unique in all its integrity, could additionally comprise the trendy conceptions and advancements of the component of Geometry over which the weather expand. A cursory exam of the paintings will convey that the Editor has long past a lot extra during this latter path than any of his predecessors, for it will likely be chanced on to include, not just extra real subject than is given in any of theirs with which he's familiar, but additionally a lot of a distinct personality, which isn't given, as far as he's conscious, in any former paintings at the topic. the nice extension of geometrical tools in recent years has made the sort of paintings a need for the scholar, to permit him not just to learn with virtue, yet even to appreciate these mathematical writings of recent occasions which require a correct wisdom of easy Geometry, and to which it truly is in fact the easiest advent.