Abstract

Thomas Harriot was the finest English mathematician before Isaac Newton, but his work on the coinage of his country is almost unknown, unlike Newton’s. In the early 1600s Harriot studied several aspects of the gold and silver coins of his time. He investigated the ratio between the values of gold and silver, using data derived from the official weights of the coins; he used hydrostatic weighing to determine the composition of the coins; and he studied the methods used to calculate how metals should be combined in order to produce the required standard of purity. This work required not only arithmetical skill, but also great insight into the relationships between the various quantities, and here his ‘greate invention of algebra’ played its part. The gold and silver coins were critically important in the national economy at that time, because they had intrinsic value and represented the country’s store of wealth. In his lifetime Harriot was supported by the patronage of Henry Percy, the Earl of Northumberland, who was a member of the Privy Council in 1604 when great changes to the English coinage were being made. After Harriot’s death his papers remained under the control of one of his executors, Sir Thomas Aylesbury, who became Master of the Tower Mint in 1635. These facts suggest that his work on the coins was considered to be important for practical reasons, not just academic ones. In this article the interplay between the scholarly work and its application to matters of national significance will be analysed in depth. The conclusions also throw some light on the long-standing mystery surrounding the fate of Harriot’s papers.

Highlights

  • A royal proclamation1 of 16 November 1604 declared that the values for the new coins of King James would be based on two rules: one troy pound of crown gold = 744 shillings; one troy pound of sterling silver = 62 shillings

  • The most noteworthy aspect of the proclamation was that the ratio of the values for crown gold and sterling silver was 744/62, which is exactly 12

  • It was specified that crown gold should contain 11 parts in 12 of pure gold, and sterling silver should contain 37 parts in 40 of pure silver, by weight

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Summary

The gold–silver ratio

The calculation given above is not quite complete, because it ignores the value of the other parts of the coined metals, which were usually referred to as the alloy. The 3 parts in 40 of alloy in sterling silver were copper, which might well be regarded as of negligible value, but the 1 part in 12 of alloy in crown gold was supposed to be silver, and that surely should be accounted for. It seems that crown gold ought to be slightly less valuable (in comparison with sterling silver) than is suggested by the 12.109 figure. Such calculations are necessarily arbitrary, because they depend on assumptions about how the values can be realised in practice. There is clear evidence that Thomas Harriot was fully appreciative of the niceties of the situation, and we can turn to his work on the subject

Harriot and his patrons
Harriot’s calculations of the ratio
The measurement of density in the late sixteenth century
Harriot’s experiments on the density of gold and silver coins
Harriot’s later life and legacy
The mystery of the Convenient Truncke
Conclusion
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