Algorithms; Arithmetic -- Early works to 1900; Mathematics -- History
¶ Here is þe secunde case, þe quych is þis yf þ{ere} come an articull{e}
of þe duplacioɳ of a fig{ur}e þ{o}u schalt do ryȝt as þ{o}u diddyst in
addicioɳ, þat is to wete þat þ{o}u schalt do away þe figur{e} þat is
doublet & sett þ{ere} a cifer, & write þe articull{e} ou{er} þe next
figur{is} hede, yf þ{ere} be any aft{er}-warde toward þe lyft side as
þus. 25. begyn at the lyft side, and doubull{e} 2. þat wel be 4. do away
þat 2 & sett þere 4. þan doubul 5. þat wel be 10. do away 5, & sett
þ{ere} a 0, & sett 1 vpon þe next figur{is} hede þe quych is 4. & þen
draw downe 1 to 4 & þat woll{e} be 5, & þen do away þ{a}t 4 & þat 1,
& sett þ{ere} 5. for þat 1 schal be rekened in þe drawyng{e} toged{re}
for 1. wen [*leaf 147b] þou hast ydon þou schalt haue þis nomb{r}e 50.
yf þ{ere} come no figur{e} aft{er} þe fig{ur}e þ{a}t is addit, of þe
quych addicioɳ comes an articull{e}, þ{o}u schalt do away þe figur{e}
þ{a}t is dowblet & sett þ{ere} a 0. & write þe articul next by in þe
same rewe toward þe lyft syde as þus, 523. double 5 þat woll be ten. do
away þe figur{e} 5 & set þ{ere} a cifer, & sett þe articul next aft{er}
in þe same rewe toward þe lyft side, & þou schalt haue þis nombre 1023.
þen go forth & double þe oþ{er} nombers þe quych is lyȝt y-nowȝt to do.
v{er}sus.
¶ Compositus si sit, in limite sc{ri}be seq{uen}te
Articulu{m}, p{ri}mo digitu{m}; q{uia} sic iubet ordo:
Et sic de reliq{ui}s facie{n}s, si sint tibi plures.
[Sidenote: If it is a Composite, write down the digit, and ‘carry’
the tens. Here is an example.]
¶ Her{e} he putt{es} þe Thryd case, þe quych is þis, yf of duplacioɳ of
a fig{ur}e come a Composit. þ{o}u schalt do away þe fig{u}re þ{a}t is
doublet & set þ{ere} a digit of þe Composit, & sett þe articull{e}
ou{er} þe next figures hede, & aft{er} draw hym downe w{i}t{h} þe
figur{e} ou{er} whos hede he stondes, & make þ{ere}-of an nombre as
þ{o}u hast done afore, & yf þ{ere} come no fig{ur}e aft{er} þat digit
þat þ{o}u hast y-write, þa{n} set þe articull{e} next aft{er} hym in þe
same rewe as þus, 67: double 6 þat wel be 12, do away 6 & write þ{ere}
þe digit [*leaf 148a] of 12, þe quych is 2, and set þe articull{e} next
aft{er} toward þe lyft side in þe same rewe, for þ{ere} comes no
figur{e} aft{er}. þan dowble þat oþ{er} figur{e}, þe quych is 7, þat wel
be 14. the quych is a Composit. þen do away 7 þat þ{o}u doublet & sett
þe þe diget of hy{m}, the quych is 4, sett þe articull{e} ou{er} þe next
figur{es} hed, þe quych is 2, & þen draw to hym þat on, & make on nombre
þe quych schall{e} be 3. And þen yf þ{o}u haue wel y-do þ{o}u schall{e}
haue þis nombre of þe duplacioɳ, 134. v{er}sus.
¶ Si super ext{re}ma{m} nota sit monade{m} dat eid{em}
Quod t{ibi} {con}tingat si p{ri}mo dimidiabis.
[Sidenote: How to double the mark for one-half. This can only stand
over the first figure.]
Public-domain text, read in full here on John Shaqi.
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