Gives a little different picture.
Well, I imagine it does since the definition I posted was from Webster's 1828 dictionary (so as to get a definition closer to the era of the Constitution) and yours was probably from a contemporary dictionary.
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Document 6 Records of the Federal Convention
16. S & H.D. in C. ass. shall have the exclusive Right of coining Money--regulating its Alloy & Value--fixing the Standard of Weights and Measures throughout U.S.
http://press-pubs.uchicago.edu/founders/tocs/a1_8_5.html
Regulation of alloy and value. How much actual precious metal and how much alloy is contained in each coin. The action of deciding what's IN the coins, does, by default, *regulate* it's value.