1. In a recent paper in these Proceedings by Mr H. Lob, and iu an earlier paper by Mr F. P. White, it has been shown how the well-known chains of theorems in plane geometry discovered by Morley and Clifford may be proved by projection from higher space. A curve of order n in space of n dimensions and certain derived loci are projected from one, or two, or three, …, or n − 2, out of n + 1 chosen points of the curve upon a plane which contains two further points of the curve. The n + 1 lines of the plane which form the starting-point of each chain of results as originally proved (and which are obtained in various ways in the course of the projections) are actually the lines in which the plane of projection is met by the primes containing n out of the n + 1 points. Now, with the standard equations of such a curve in [n], viz.