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" When an equal-arm balance is used to compare an object with standards of mass ("weights"), the effects of variations in the acceleration of gravity are self-eliminating and need not be taken into account, but the apparent mass of the object is slightly... "
Circular of the Bureau of Standards - Page 12
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Specifications, Tolerances, and Other Technical Requirements for Weighing ...

National Institute of Standards and Technology - 1995 - 250 pages
...equal mass in the same location (where both masses are acted upon by the same g) will be affected in the same manner and by the same amount by any change in the value of g, the two objects will balance each other under any value of g. However, on a spring balance the mass...
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