Copy of a mathematical demonstration of formula for calculating customs duty <ref target="/catalogue/record/MINT00291">(Mint 19/3/444)</ref> Isaac Newton c. 301 words The Newton Project Oxford 2017 Newton Project, University of Oxford

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 1703-4, c. 301 words. Formula for calculating customs duty, followed by notes on the measurements of Herod's temple and a series of trigonometrical calculations [MINT 19/3/444] MINT 19/3/442, National Archives, Kew, Richmond, Surrey, UK UKSurreyKew, RichmondNational Archives MINT 19/3/442 1703-4 England English Holograph MintEconomic Theory and Legislation Catalogue information compiled by Rob Iliffe, Peter Spargo & John Young Catalogue exported to teiHeader by Michael Hawkins Transcribed by Will Scott
442

Because Merchants pretend that they are not to be taxed for the Duty they pay to the king but only the excess of the value abo of their goods above the Duty: the for doing this the following probleme is proposed

Problem.

To lay a taxDuty at any assigned rate upon the excess of the value of any parcel of goods above the Duty.

Solution.

By the Rule of fals Position, assume any eExcess at pleasure, & the rate will give the Duty upon it, & the Duty added to the Excess will compose the value of the goods in this case.. Then any o And by the golden Rule, As this value is to the Duty, so is the Value of any other parcel of goods to the Duty upon it.them.

Example 1

If the Excess be assumed be 100li & the rate 9 prper cent, the Duty will be 9li, & the value of the goods 109li. aAnd as the value 109 is to the Duty 9 so will the value in any other case be to the Duty upon it And by the golden Rule: As 109 to 9, so is the value of any parcel of Goods to the Duty upon them

Example 2

If the Excess assumed be 100li & the rate be 20 per cent the Duty will be 20li & the value of the goods 1120li. And by the golden Rule; As 120 to 20, so is the value of any parcel of goods to the Duty upon them.

Any other way of recconing makesis illegal voyd the Act of Parliamt.

NB. Here Bby the value of the goods, is to be understood thaet clear value wchwhich remains after the charges of warehouse room & all other charges except the Duty are subducted.