On Mr. T. S. Davies's Notes on Geometry and Geometers. 201 



This process may be variously modified ; and when care is 

 taken, gives accurate results, but far too complicated for ordinary 

 use. We shall have occasion to allude to this process again in 

 reference to large operations. 



A variety of other methods for determining the quantity of 

 copper in copper ores have been recommended by different 

 parties, aU more or less depending upon careful manipulation. 

 We have contented ourselves with describing briefly the leading 

 features of a few of the modifications and new processes which 

 have been advocated. 



The next paper will be on the kind of fuel suitable for smelt- 

 ing copper ores. 



[To be continued.] 



XXIX. Additions to the late Mr. T. S. Davies's Notes on Geo- 

 metry and Geometers. The Swale Manusa-ipts. By T. T. 

 Wilkinson, Esq., F.R.A.S. 



[Continued from p. 33.] 



THE first and second volumes of Mr. Swale's MSS., though 

 of different sizes of paper, are continuations of each other, 

 and comprise in the M'hole 425 quarto pages of densely crowded 

 matter, entitled ''A Miscellaneous Collection of Geometrical 

 Questions ; those not original being proposed for the purpose of 

 generalizing and receiving improved and original solutions." In 

 addition to numerous original theorems and j^roblems, these 

 volumes contain diversified constructions, with occasional ana- 

 lyses and demonstrations, to all the principal geometrical ques- 

 tions which had been proposed in the Lady's Diary, Gentle- 

 man's Diary, Mathematician, Burrow's Diaiy, Hutton's Mis- 

 cellany, The Mathematical Repository, Student, Mathematical 

 Companion, Enquirer, Leeds Correspondent, Playfair's Euclid, 

 Bonnycastle's Trigonometiy, Apollonius, and Simpson's Algebra, 

 Geometry, and Select Exercises ; illustrated by upwards of one 

 thousand carefully constructed diagrams. Each day's work is 

 generally pointed out by having its respective date affixed ; and 

 not a few incidental notices occur which show that he sustained 

 a long and active correspondence with his friends Messrs. Whit- 

 ley, Nicholson, Shepherd, Leybourn, Davis, Ryley and Lockwood. 

 "Mr. Crakelt, of Northficet, Kent," is designated as "an ex- 

 cellent Geometrician" in page 12, when engaged upon one of 

 his problems from Burrow's Diary ; — " four curious Theorems " ■ 

 and a statical problem are pointed out on page 90 as having 

 been "sent to Mr. Leybourn, Gth Dec. 1830;" and a printed 

 sheet containing tliem is inserted as having been received " from 

 Mr. Leyboui'n, 14th May 1833," who had arranged them as 



