VOL. XVIII.] PHILOSOPHICAL TKANSACTIONS. 6SX 



fetid and putrefied blood. The liver also was much larger than usual, but its 

 parenchyma firm and sound. When I came to survey the concave part of this 

 bowel, the vesica bilaria seemed full of bile ; but more curiously examining it 

 by the touch, I found by the interposition of a solid body, that there was 

 something preternatural ingendered within its cavity : to be satisfied of this, I 

 opened the vesica, and with my forceps extracted a stone very beautifully crusted 

 over with crystallized salts of various figures, conical, cubical, pyramidal, &c. 

 The one half of it lay immersed in bile, which was not considerable ; for this 

 lapideoas concretion took up the whole cavity of the gall bladder, and weighed, 

 immediately after it was taken from its receptacle, jij 15 grs. We discovered 

 in one of the kidneys a large abscess, and discharged a great quantity of wheyish 

 matter. 



An Account of Bonks : viz. — I. Tractatus Mathematicus de Figurarum Curvi' 



linearum Quadraturis et Locis Geomeiricis. Autore Johanne Craig. Land. 



N° 'lOQ, p. 113. 



This treatise consists of two heads. In the first the author gives a general 

 method for determining the quadratures of curvilinear spaces, which he shows 

 may always be done, by finding another curve-line, from the known property 

 of its tangent; which curve-line he therefore calls the quadratrix of the pro- 

 posed space. In his calculations he exhibits, by-the-bye, a new method of 

 finding infinite series, without the trouble of division or extraction of roots, by 

 assuming an arbitrary series with unknown coefficients, which are easily deter- 

 mined in the progress of the problem. And since the publication of this trea- 

 tise we have some instances of the like method of finding series by that excel- 

 lent mathematician, Mr. Leibnitz, printed in the Acta Eruditorum of April, 

 1693. Afterwards he gives a method of comparing the areas of figures, with 

 the simplest figures of the same kind ; from which he deduces many theorems, 

 each of which exhibits the quadratures of an infinity of figures, without any 

 trouble of calculation. He concludes this first part with a discourse concern- 

 ing the analytical expression of quadratures, wherein is shown, that though 

 the area answering to the abscissa be that which is commonly sought, yet 

 the general quadrature found by his method is for the most part either greater 

 or less: therefore he gives both a geometrical and analytical rule for knowing 

 whether the said general quadrature be deficient or exceeding, and what that 

 deficient or exceeding quantity is. 



The second head of this treatise is concerning the geometric loci : show- 

 ing how to determine any solid locus, by comparing the equation with a 

 general theorem comprehending all loci of that kind: thus avoiding all those 



