I must farther observe upon this subject, that although we have seen that the ducats which have circulated for ever so short a while, when bought at 5_f._ 4⅜_st._ produce for the florin 13.685, (which is more than is produced by the new coined ducats fresh from the mint) we are not from this to conclude, that the former are intrinsically a cheaper currency than the latter. I have been at all the pains imaginable to weigh these ducats against others fresh from the mint; and also to compare their weight with what it ought to be by the regulation; and I have constantly found near ¼ _per cent._ difference between them. This is entirely owing to the nature of the coin. The ducat has a large surface in proportion to its weight; it carries a very sharp impression, full of small points; the cord about the edges is exceedingly rough; so that the least rubbing, breaking off those small points, diminishes the weight of the piece near ¼ _per cent._ which is clear loss, not only to the proprietor, but to the state, and to all the world. Besides, those who are obliged to go to the mint for new ducats, are supposed to bear the greatest weight of the coinage of a piece which, having no legal denomination, is left afterwards to seek its own value, according to that of the metals at the time. [Sidenote: The intention of this minute detail is in order to calculate the real par of the coins of Europe.] As I have entred into this minute detail of the weight of fine silver and fine gold contained in the Dutch florins, with a view to facilitate the calculation of the par of the metals contained in the coins of Holland, and those of other nations; I must next mention the proportion between the aces in which we have expressed the weight of the Dutch specie, and the grains in use in some of the principal nations with which they trade: These I take to be England, France, and Germany. [Sidenote: Proportion between the mint weights of Holland, England, France, and Germany.] The reduction of weights to mathematical exactness, is beyond the art of man; and to this every one, who ever tried it, must subscribe. I have been at all the pains I am capable of, to bring those weights to an equation; and here follows the result of my examination into that matter. By all the trials and calculations I have made, I find that 5192.8 aces Holland-troes; 3840 grains English troy weight; 4676.35 grains Paris poid de marc; and 4649.03 grains Colonia (which is the gold weight of the empire) are exactly equal. I reckon by the lowest denomination of these several weights, to wit, their grains; to avoid the endless perplexity of reducing to a proportion, their pounds, marcs, and ounces, which bear no regular proportion to their grains. [Sidenote: Par of a pound sterling, in weighty silver, with Dutch florins in riders is 11 florins 12 stivers.]