3QS PHILOSOPHICAL TRANSACTIONS. [aNNO 17 IQ. 



secondly, his boasted principle of uniformity, which he so boldly affirms no one 

 has observed, has before been noticed by myself, in some examples in p.'ll3 of 

 my book. Lastly, the analysis he here exhibits as a new one, is only that of 

 his brother For it is the precepts that constitute the analysis ; according to 

 which the calculation is afterwards performed ; which is not the analysis itself 

 but only its instrument. The precepts being once laid down, every one easily 

 performs the calculation, each in his own way, some more diffusely, others 

 closer or neater, each as his genius directs. It must be allowed that Jo, 

 Bernoulli has made the calculation more neat and elegant ; but he has done it 

 by his brother's analysis, not his own. And doubtless his brother, had he been 

 now living, would have illustrated the matter quite as well. We have said that 

 all the precepts, which form the analysis, are his brother's. For, that he con- 

 siders a small arch of the required curve as composed of three small elementary 

 right lines, is only owing to his brother, as he himself has confessed : that from 

 the given length of that small arc, he seeks the ratio of the differences of the 

 ordinates, in his lemmas, is from his brother ; that he seeks the same ratio 

 over again, by supposing the small nascent area, composed of what he calls the 

 functions, to be either a maximum or minimum, is from his brother : lastly, 

 that from that double expression of that same ratio he obtains the equation, by 

 which the nature of the required curve is determined, is from his brother. But 

 these are the things that constitute the solution, which therefore is wholly his 

 brother's. 



After then giving some instances of John Bernoulli's erroneous and absurd 

 calculations in differentials or fluxions. Dr. Taylor concludes : now perhaps it 

 might be inquired, by what right he pretends to the first rank in the sublimer 

 analysis, with so stubborn an ambition ; so that no one can make any advances 

 in it, but he must be presently accused of having penetrated into Bernoulli's 

 profound science. How does it appear to be true, what has lately been affirmed 

 by some one, that the rules in the treatise *' Analyse des Infiniment Petis,'* 

 were first derived from Bernoulli ? That the praise generally given to the 

 Marquis de I'Hospital, must now be transferred to his preceptor ? &c. 



jin Account of the Skeleton of a large Animal impressed on Stone, By Dr, 

 miliam Stukely* F, R. S. N*^ 36o, p. 963. 



At Elston, near Newark in Nottinghamshire, was discovered an almost 



* Dr. Stukely was bred to physic and took the degree of M.D. at Cambridge in 1719; but the 

 year following he relinquished the medical for the clerical profession, being ordained in I720j soon 

 after which he was presented to the living of All Saints in Stamford j some years alterwards he had 

 the living of Soraeriy, near Grantham ; an4 at length the rectoiy of St. George the Martyr, in 

 London. Among his medical writings may be mentioned his Dissertation on the Spleen, and a Tract 



