\^^ Experiments to afar tain 



ters fliould exceed the other by .Joo »"ch ; in that cafe, the error in the affumed falid would 

 not exceed ,0^00 part of the whole : and this is a pofition infinitdy too extravagant to be 

 admitted, when we recolleft, that this diameter has been probably taken to within a tenth 

 part of that error. 



(§. 29.) The weight of this fpherc, in air and in water, comes next under our confidera- 

 tion; the experiments for which were as follow, made June 12, 1797 ; the barometer being 

 at 29,74 inches, and the thermometer, in air, at 67". 



Experiment the I/?. 



The weight of the fphere in air, the counterpoife, or weight of the fcale or! Trov grains. 



cradle, ab c f (Plate V. fig. 3.), in which the fphere hung, being allowed > =28722,64 



for *, fo that this was the net weight - - . - ^ 



grains. 

 The fphere and fcale fufpended in water, with it centre 5,6 inches 7 _ 



below the furface, and the heat 66° - - - ^— 3 3'7 



DeduiS the counterpoife, or weight of the fcale, in water, with the"? _ 



fame heat of 66^, and fame depth f below the furface - 3 ~ 



The difference is the net weight of the fphere in water of the temperature 66°, 7 o 



which, deduced from its weight in air - - - - 3 ^^'^S 



Leaves the weight of a bulk of water = the fphere, in the temperature 66", 7 _ »/- 

 and 5,6 inches below the furface - - - - j ~ '^^ 



Experiment the 2d. "June 16, 1797. 

 The barometer being at 30,13 inches, and the thermometer at 68°. 



grains. 

 Weight of the fphere, together with tlic fcale, in air - - 29265,91 



Dedu<5l the weight of the fcale, or counterpoife, in air - - — — 544303 



Remains the total net weight of the fphere in air 



And, to reduce this to the fame ftate of the atmo fphere as the preceding 



obfervation, viz. 29,74 inches of the barometer, add the correction for 



0,39 inch (fee table, §. 23.) _ _ . 



Alfo the corredion for i " of the thermometer - - _ 



And the net weight of the fphere, in an atmofphere of 29,74 inches, and", _ _ 

 heat of 67*', becomes - - - - - 3 - 28722,42 



grains. 



Weight of the fphere, with its fcale, in water, 3,7 inches? _ g -^ 

 below the furface, and the thermometer at 66^,1 3 ^ ^ 



• The weight of this fcale, with its 3 wires, in sir, was = 276,10 grains, 



f The fphere having been weighed in the fame depth of water that the counterpoife to the fcale was 

 determined in, no correftion for the greater or lefs immerfion of the fcale-wires was here neceffary ; which 

 however will fometitnes be the cafe. See §• 29. and table II. of correction, §. 23. 



From 



