Lessons in Elementary Practical Physics

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Since as a rule A and B are very nearly equal, we may, in most cases, use the arithmetical mean instead. Thus the arithmetical mean of TOGO and 1-001 is 1-0005, whilst the geometrical mean is 1'0004998. It would be impossible to detect the difference between the two by the balance.
The method of Gauss has several advantages over that of Borda. It is more correct, for it can be shown that the probable error of Borda's method is decidedly greater than that of Gauss. Furthermore, less time is take
...n, and there is the additional advantage of the one weighing furnishing a check on the other.
As the weights increase, it becomes more important to employ one or other of these methods. We give an actual series of weighings made with an Oertling balance, showing this : Left Pan. Grms.
Right Pan. Grms.
Difference. Grms.
Arithmetical Mean. Grms.
Geometrical Mean. Grins.
907-840 900-594 254-884 108-501 907-813 900-570 254-878 108-498 027 024 006 003 907-8265 900-5820 254-8810 108-4995 907-8264 900-5819 254-8811 108-4995 Difference of Density between the Body weighed and the Weights.


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