Royal Society. 225 



years old, and those of a young tiger just shedding its milk-teeth ; 

 and also the molares of a young horse that were casting their coro- 

 nary surfaces ; — the remains of two hyaenas of the extinct species ; 

 and two or three balls of album graecum. 



The Banwell caves, lying about a mile to the east of Hutton, are 

 next described. They are the property of the present Bishop of 

 Bath and Wells ; and contain remains of the bear, wolf, fox, deer, 

 and ox. Of the bear there are at least two species ; one of which 

 appears to be the Ursiis spelceus of Blumenbach, and must have 

 been an animal of immense size and strength. These remains were, 

 in general, not associated according to the animals they belonged 

 to, but indiscriminately dispersed : thus the head of a bear lay by the 

 femur of an ox, and the jaw of a wolf lay by the antler of a deer. 

 Hence the author infers that these bones, after accumulating for 

 ages, were carried in by a tumultuous rush of waters, and mingled 

 together before their final deposition. He concludes that the se- 

 veral animals whose remains are deposited in the Banwell and Bur- 

 lington caves belonged to a very different age and period from 

 those found at Hutton and Uphill. 



An account is also given of two caves at Burrington Coomb, 

 lying about six miles to the cast of Banwell, in one of which, though 

 similar in appearance to the caves already described, no ante- 

 diluvian remains of animals liave been found. Several human 

 skeletons, and flint knives and celts, were discovered there by Mr. 

 Williams ; from ivhich it has been inferred that it had formerly been 

 usedasaburying-ground. In the upper caverns, remains of the bear, 

 elk and polecat, were discovered ; the two former evidently of the 

 extinct species. 



June 9. — A paper was read, entitled " Researches in Physical As- 

 tronomy." By J. \V. Lubbock, Esq., V.P,, and Treasurer of the Royal 

 Society. 



The author extends, in the present paper, the equations he has 

 already given for determining the planetary inequalities, as far as the 

 terms depending on the squares and products of the eccentricities, to 

 the terms depending on the cubes of the eccentricities and quantities 

 of that order, which he does by means of a table, similar to the one 

 given in his lunar theory ; and applies them particularly to the deter- 

 mination of the great inequality of Jupiter, or at least such part of it as 

 depends on the first power of the disturbing force. That part which 

 depends on the square of the disturbing force may, he thinks, be most 

 easily calculated by the methods given in his lunar theory. He re- 

 commends it as particularly convenient to designate the arguments of 

 the planetary disturbances by indices. The bulk of the paper is oc- 

 cuj)icd by tiie tables, and by examples demonstrating their use. 



A pa|)er was read, " On the Theory of the Elliptic Transcendents." 

 By James Ivory, A.M , F.Il.S., &c. 



Fagnani discovered that the two arcs of the periphery of a given 

 ellipse may be determined in many ways, so that their difl'ercnce shall 

 be equal to an assignable straight line ; and proved that any arc of 

 a lemni.scate, like that of a circle, may be niulti))lied any number 



N.S. Vol. 10. No. 57. .SryV. 1831. 2G ' of 



