VOL. VII.] PHILOSOPHICAL TRANSACTIONS. f^^ 



This book was promised some years ago under the title of Galilaeus Ampliatus. 

 But the author now follows not the steps of Galilaeus, but demonstrates all his 

 propositions another way ; building all upon this ground : Momenta Gravium 

 proportionem habent compositam ex proportion ib us ponderum et longitudinum: 

 which is his first proportion. 



II. Tabula numerorum Quadratorum decies millium, unk cum ipsorum 

 Lateribus ab Unitate incipicntibus, et ordine natural ibusque ad ICXXX), progre- 

 dientibus. Londini, 1672. 



A table of ten thousand square numbers, namely of all the square numbers 

 between and 100 millions ; and of their sides or roots : which are all the 

 whole numbers between and ten thousand : 8 sheets in fol. 



III. Regneri de Graaf. de Mulierum Organis Generationi Inservientibus 

 Tractatus novus. Lug. Bat. 1672, in 8vo. 



The subject of the organs of generation in women having been discussed 

 more than once in the preceding part of this volume, we deem it unnecessary to 

 insert the analysis of this treatise of de Graaf s^ whose works are in the hands 

 of almost every anatomist. 



IV. Discours de la Connoissance des Bestes ; par le P. Ignace Gaston Pardies, 

 S.J. A Paris, 1672, in 12mo. 



The author's opinion is, that beasts have only a simple apprehension of ob- 

 jects without reflection. 



Mr. Isaac Netfton's Considerations on part of a Letter of M, de 

 Berce, concerning the Catadioptrical Telescope, pretended to be 

 improved and refined by M. Cassegrain. N" 83, p. 4056. 



That the reader may be enabled the better to judge of the whole, by com- 

 paring together the contrivances both of Mr. Newton and Mr. Cassegrain ; it 

 will be necessary to borrow from the French memoir what is there said concern- 

 ing them; which is as follows : — 



I send you (says M. de Berce to the editor of the memoir,) the copy of 

 the letter which M. Cassegrain has written to me concerning the propor- 

 tions of Sir Samuel Moreland's trumpet. And as for the telescope of Mr. 

 Newton, it has as much surprised me as the former. For it is now about 

 three months since M. C. communicated to me the figure of a telescope, 

 which was nearly like Newton's, and which he had invented ; but which I 

 look upon as more ingenious. I shall here give you the description of it in 

 short. 



ABCDis a strong tube, in the bottom of which there is a great concave 

 speculum CD, pierced in the middle E. F is a convex speculum so disposed. 



