Algorithms; Arithmetic -- Early works to 1900; Mathematics -- History
_M._ So wyll I do as touchynge hole nomber, and as for broken nomber,
I wyll not trouble your wytte with it, tyll you haue practised this so
well, y^t you be full perfecte, so that you nede not to doubte in any
poynte that I haue taught you, and thenne maye I boldly enstructe you in
y^e arte of fractions or broken no{m}ber, wherin I wyll also showe you
the reasons of all that you haue nowe learned. But yet before I make an
ende, I wyll showe you the order of co{m}men castyng, wher in are bothe
pennes, shyllynges, and poundes, procedynge by no grounded reason, but
onely by a receaued [*131a] fourme, and that dyuersly of dyuers men: for
marchau{n}tes vse one fourme, and auditors an other:
[Headnote: Merchants’ Casting Counters.]
[Sidenote: Merchants’ casting.]
But fyrste for marchauntes fourme marke this example here,
o o o o o
o
o o o o
o
o o o o o
o
o o o o o
in which I haue expressed this summe 198 l’i.[{2}] 19 s. 11 d’. So that
you maye se that the lowest lyne serueth for pe{n}nes, the next aboue
for shyllynges, the thyrde for poundes, and the fourth for scores of
pou{n}des. And farther you maye se, that the space betwene pennes and
shyllynges may receaue but one counter (as all other spaces lyke wayes
do) and that one standeth in that place for 6 d’. Lyke wayes betwene the
shyllynges {and} the pou{n}des, one cou{n}ter standeth for 10 s. And
betwene the poundes and 20 l’i. one counter standeth for 10 pou{n}des.
But besyde those you maye see at the left syde of shyllynges, that one
counter standeth alone, {and} betokeneth 5 s. [*131b] So agaynste the
poundes, that one cou{n}ter standeth for 5 l’i. And agaynst the 20
poundes, the one counter standeth for 5 score pou{n}des, that is
100 l’i. so that euery syde counter is 5 tymes so moch as one of them
agaynst whiche he standeth.
[Sidenote: Auditors’ casting.]
Now for the accompt of auditors take this example.
o o o o o o
o o o o o o o o o o o o
o o o o
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