VOL. LXXV.] PHILOSOPHICAL TRANSACTIONS. g 



may be deduced by the former expression, leaving out the consideration of tiie 



Other star, thus: ^ '" ^ ^'"J.!"^ ^^ ^ ^°^* ^ ~ ^^^' ^^ ^^^ ^^^^ ^" declin. from its 

 nearest angle, and ... x sin. g = its difference in right ascension. 



The application of these formulae is very easy : for having found q, if you set 

 down its cosine in one column for declination, and its sine in another column for 

 right ascension, and under each the constant sin. (a + 9), and the arithmetical 

 compl. of sin. a ; these being added together will make two sums, for the com- 

 parative observations of every star which may pass the field ; and, unless the field 

 be very large, and the declination of the stars very great, if to the column for 

 declination be added the cosine of declination of the centre of the field, it will 

 adapt itself to all the products. 



J[IX. Account of a Stag's Head and Horns, found at Alport j Derbyshire. By 

 the Rev. Robert Barker , B. D. p. 353. 



About the year 178O, some men working in a quarry of that kind of stone 

 which in Derbyshire is called tuft,* at about 5 or 6 feet below the surface, in a 

 very solid part of the rock, met with several fragments of the horns and bones 

 of animals. Among the rest, out of a large piece of the rock, which they got 

 entire, there appeared the tips of 3 or 4 horns, projecting a few inches from it, 

 and the scapula of some animal adhering to the outside of it. A. friend sent the 

 piece of the rock to Mr. B. in the state they got it, in which he let it remain for 

 ' some time. But suspecting that they might be tips of the horns of some head 

 inclosed in the lump, he determined to gratify his curiosity by clearing away the 

 stone from the horns. On doing which he found that the lump contained a very 

 large stag's head, with two antlers on each horn, in a very perfect preservation, 

 inclosed in it. 



Though the horns are so much larger than those of any stag he ever saw, yet, 

 from the sutures in the skull appearing very distinct in it, one would suppose 

 that it was not the head of a very old animal. He had one of the horns nearly 

 entire, and the greatest part of the other, but so broken in the getting out of 

 the rock, that one part will not join to the other, as the parts of the other horn 

 do. The horns are of that species which park-keepers in this part of the coun- 

 try call throstle-nest horns, from the peculiar formation of the upper part of 

 them, which is branched out into a number of short antlers, which form 

 a hollow about large enough to contain a thrush's nest. Below are the 

 dimensions of the different parts of them, compared with the horns of the same 

 species of a large stag, which have probably hung in the place whence he pro- 



♦ Tuft is a stone formed by the deposit left by water passing through beds of sticks, roots, vegeta- 

 bles, &c. of which there is a large stratum at Matlock, Bath, in this county.— Orig. 

 VOL. XVI. C 



