THE reviews in your issue of April 23 tend to confirm an apprehension I have long felt. Euclid is to be abolished, and another sequence of propositions substituted. But it is probable that in many cases the same old methods of teaching will be retained, the same old drudgery of learning propositions and not learning to think, will be gone through by the future generation as it has been gone through by the past. The only difference will be that the one redeeming feature of the old system, the semblance of a logical sequence, will be abolished, and students will be commended instead of condemned for assuming constructions before they have learnt how to perform them. They will also be encouraged to base their proofs on such difficult-to-be-understood concepts as direction.