Algorithms; Arithmetic -- Early works to 1900; Mathematics -- History
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Then begyn I at the hyghest place of the diuidente, sekynge my diuisor
there, whiche I fynde ones, Therfore set I 1 in the nether lyne.
_M._ Not in the nether line of the hole summe, but in the nether lyne of
that worke, whiche is the thyrde lyne.
_S._ So standeth it with reason.
_M._ Then thus do they stande.[*128a]
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Then seke I agayne in the reste, how often I may fynde my diuisor, and I
se that in the 300 I myghte fynde 100 thre tymes, but then the 60 wyll
not be so often founde in 20, therfore I take 2 for my quotient: then
take I 100 twyse from 300, and there resteth 100, out of whiche with the
20 (that maketh 120) I may take 60 also twyse, and then standeth the
nombers thus,
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[*128b] where I haue sette the quotient 2 in the lowest lyne: So is
euery sowldyars portion 102 d’. that is 8 s. 6 d’.
_M._ But yet bycause you shall perceaue iustly the reason of Diuision,
it shall be good that you do set your diuisor styll agaynst those
nombres fro{m} whiche you do take it: as by this example I wyll declare.
Yf y^e purchace of 200 acres of ground dyd coste 290 l’i. what dyd one
acre coste? Fyrst wyl I turne the poundes into pennes, so wyll there be
69600 d’· Then in settynge downe these nombers I shall do thus.
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Fyrst set the diuident on the ryghte hande as it oughte, and then
[*129a] the diuisor on the lefte hande agaynst those nombers, fro{m}
which I entende to take hym fyrst as here you se, wher I haue set the
diuisor two lynes hygher the{n} is theyr owne place.
_S._ This is lyke the order of diuision by the penne.
_M._ Truth you say, and nowe must I set y^e quotient of this worke in
the thyrde lyne, for that is the lyne of vnities in respecte to the
diuisor in this worke. Then I seke howe often the diuisor maye be founde
in the diuident, {and} that I fynde 3 tymes, then set I 3 in the thyrde
lyne for the quotient, and take awaye that 60000 fro{m} the diuident,
and farther I do set the diuisor one line lower, as yow se here.
Public-domain text, read in full here on John Shaqi.
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