a Standard of IVelght and Meafure. 105 



"§ 13. Now the three foregoing mean meafures of the fide of the cute, multfplied into 

 each other, will give= 124,18917 cubic inches for the contentij of the brafs cube, whi. h 

 muft be very near the truth ; for if not, let us fuppofe the error in talcing each of thefe 

 meafurements to be half a thoufandth of an inch, which is much greater tha n is probable, 

 viz.=Ts''>^^ P^rf of the fide of the cube ; and let us fuppofe each of th.fe errors to lie the 

 fame way, which is alfo very improbable ; in that cafe, the error in determining the folid 

 content would be only -r^^r-c of the whole ; in the above inftance, about 0,03 cubic inch : but 

 more probably the error does not amount to half this quantity. 



§ 14. Examinatioii of the cylinder. 



The micrometer and microfcope of the divided fcale (Plate V. fig. i.) being removed till 

 their crofs-wires were four inches diftant, viz. from 54 inches to 58 inches, and the thermo- 

 meter at 62°, I obferved of the end or bafe of the cylinder, No. i. fig. 6. 



Inches. Inches. Mean. 



The diameter a b—^ — ,0027=r3,99737 Inches. 



> =3,99745 

 f ^=4— ,0024=3,9976^ 



End 2, of the cylinder. 



Inches. Inches. 



The diameter a *=4— ,0014=3,9986? _ g 



f i/=4— ,0029=3,99713 ■S'Vy/ i 



Height of the cylinder. 



The microfcope and the micrometer being placed refpe£Uvely at 52,1 inches and 58,1 

 inches, viz. at the interval of exaftly 6 inches on the fcale, I found 



Inches. Inches. Mean. 



The height from a to <7=6 — ,0049 = 5>99Si 

 b to *=6— ,0047 = 5,9953 

 e to <:=6— ,0047 = 5,9953 

 d to d—d — ,0054 



Repeated ^58? =5,9944 



Inches. 

 {►=5,99502 



l>i<ivr the mean diameter of the cylinder having being found 



Inches. 



At the end 1=3,99745 



At the end 2=3,99785 



The fa£lor for the fquare of the' 

 diameter of a circle to find the ; 

 area, being, as is well known. 



And the height of the cylinder 



The above four quantities multiplied into each other, give for the contents of this cylinder 



in inches = 7 4,948 2 3 ; and this refult may be taken at leaft as correct as that of the cube, 



viz. to about the third place of decimals. 



§ 15. Having adjufted the beam of the balance (fig. 4.) with refp«(S to the length 



Vol. III.— June 1799. P of 



