Formula for calculating customs duty, followed by notes on the measurements of Herod's temple and a series of trigonometrical calculations Isaac Newton c. 365 words The Newton Project Oxford 2017 Newton Project, University of Oxford

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 1703-4, c. 365 words. Treasury

On reverse: Latin notes on time and motion.

 MINT 19/3/444, National Archives, Kew, Richmond, Surrey, UK UKSurreyKew, RichmondNational Archives MINT 19/3/444 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
444

Question

To find the net duty upon East-India goods by 12 Ann C

Answer

Let D be the duty prper cent upon 100li by former Acts of PParliament & say, aAs the value, 100li + D to D the net duty D so is is 1 to N. And the number N being once found the Question will be thus answered. From the value by the candle subduct the allowances by for prompt payment & warehouse room & the remainder multiplied by N will be the net duty desired

Proof

For let the Remainder by R.. And & NR will be the duty prper cent upon R − NR, the remainder of that duty. For as the value 100li + D is to the net duty D in any one casein , so is 1 to N, & so is the value R to the net duty NR in any other case. For The value R the remainder R is the value upon wchwhich the net duty is to be paid & this value is to the net duty upon it in a given proportion & this proportion is that of 100li + D to D or 1 to N.

The Iews who first set down wrotepublished in writing the Talmud the measures of Herods Temple, omitted some measures then on either side of yethe altar & only set down the summ of wchwhich the cubits & the writers who followed made yethe measures following Iewish omitted cubits & the following Iewish writers dividing thaet summ equally of the cubits omitted into two equal parts placed the altar nearer to yethe south side of the court then to yethe north side: whereas they should have divided thesate cubits summ unequally so that yethe altar might have stood in yethe center of the court.

in 214 it runs 13∟8×13∟8 × 4 dig = 76176 dig. In 1' it runs 338∟56 dig.

In 24''' it falls 32 dig & moves 64dig In 1'' it moves 160 dig In it moves 9600 dig. In 135'' = 214 it runs 16∟12 × 16∟1212 × 4 × 13∟88 dig in length = 14344 dig. In 1' it moves 6375∟09461