Formula for calculating customs duty, followed by notes on the measurements of Herod's temple and a series of trigonometrical calculations

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Question

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

Answer

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

Proof

For let the Remainder by R. {sic} And & NR will be the duty pr 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 {illeg}, so is 1 to {illeg}N, & so is the value R to the net duty NR in any other case. For The value R the remainder R is {illeg} the value upon wch the net duty is to be {illeg}paid & this value is to the net duty upon it in a given proportion & this p{illeg}roportion 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 {illeg}on either side of ye altar & only set down the summ of wch the cubits & the writers who followed made ye 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 ye south side of the court then to ye north side: whereas they should have divided thesate cubitssumm unequally so that ye altar might have stood in ye center of the court.

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in 2$\frac{\mathrm{1}}{\mathrm{4}}$ 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 {illeg} it moves 9600 {illeg}dig.

In 135'' = 2$\frac{\mathrm{1}}{\mathrm{4}}$ it runs 16∟12 × 16∟12 × 4 {illeg} × 13∟8 dig in length = 14344 dig.

In 1' it moves 6{illeg}375∟09461