"In this work we find the polygones étoilés,[[511]] see Chasles (Aperçu, pp. 480, 487, 521, 523, &c.) on the merit of the discoveries of this English mathematician, who was Archbishop of Canterbury in the XIVth Century (tempore Edward III. A.D. 1349); and who applied geometry to theology. M. Chasles says that the present work of Bradwardine contains 'Une théorie nouvelle qui doit faire honneur au XIVe Siècle.'"[[512]]

The titles do not make it quite sure that Bradwardine is the quadrator; it may be Peter Sanchez after all.[[513]]

THE QUESTION OF PARALLELS.

Nouvelle théorie des parallèles. Par Adolphe Kircher[[514]] [so signed at the end of the appendix]. Paris, 1803, 8vo.

An alleged emendation of Legendre.[[515]] The author refers

to attempts by Hoffman,[[516]] 1801, by Hauff,[[517]] 1799, and to a work of Karsten,[[518]] or at least a theory of Karsten, contained in "Tentamen novæ parallelarum theoriæ notione situs fundatæ; auctore G. C. Schwal,[[519]] Stuttgardæ, 1801, en 8 volumes." Surely this is a misprint; eight volumes on the theory of parallels? If there be such a work, I trust I and it may never meet, though ever so far produced.

Soluzione ... della quadratura del Circolo. By Gaetano Rossi.[[520]] London, 1804, 8vo.

The three remarkable points of this book are, that the household of the Prince of Wales took ten copies, Signora Grassini[[521]] sixteen, and that the circumference is 3-1/5 diameters. That is, the appetite of Grassini for quadrature exceeded that of the whole household (loggia) of the Prince of Wales in the ratio in which the semi-circumference exceeds the diameter. And these are the first two in the list of subscribers. Did the author see this theorem?

A PATRIOTIC PARADOX.