Algorithms; Arithmetic -- Early works to 1900; Mathematics -- History
yf þe fig{ur}e, þe quych schall{e} be m{u}ltiplied, be euen{e} as mych
as þe diget be, þe quych þat oþ{er} figur{e} schal be m{u}ltiplied,
as two tymes twayɳ, or thre tymes 3. or sych other. loke qwer{e} þat
fig{ur}e sittes in þe lyft side of þe t{ri}angle, & loke qwer{e} þe
diget sittes in þe neþ{er} most rewe of þe triangle. & go fro hym
vpwarde in þe same rewe, þe quych rewe gose vpwarde til þ{o}u come
agaynes þe oþ{er} digette þat sittes in þe lyft side of þe t{ri}angle.
And þat nounbre, þe quych þou [*leaf 155b] fyn[*]des þ{ere} is þe
nounbre þat comes of the m{u}ltiplicacioɳ of þe 2 digittes, as yf þou
wold wete qwat is 2 tymes 2. loke quer{e} sittes 2 in þe lyft side i{n}
þe first rewe, he sittes next 1 in þe lyft side al on hye, as þ{o}u may
se; þe[{n}] loke qwer{e} sittes 2 in þe lowyst rewe of þe t{ri}angle,
& go fro hym vpwarde in þe same rewe tyll{e} þou come a-ȝenenes 2 in þe
hyer place, & þer þou schalt fynd ywrite 4, & þat is þe nounb{r}e þat
comes of þe multiplicacioɳ of two tymes tweyn is 4, as þow wotest
well{e}. yf þe diget. the quych is m{u}ltiplied, be mor{e} þan þe
oþ{er}, þou schalt loke qwer{e} þe mor{e} diget sittes in þe lowest rewe
of þe t{ri}angle, & go vpwarde in þe same rewe tyl[{10}] þ{o}u come
a-nendes þe lasse diget in the lyft side. And þ{ere} þ{o}u schalt fynde
þe no{m}b{r}e þat comes of þe m{u}ltiplicacioɳ; but þ{o}u schalt
vnd{er}stonde þat þis rewle, þe quych is in þis v{er}se. ¶ In digitu{m}
cures, &c., noþ{er} þis t{ri}angle schall{e} not s{er}ue, bot to fynde
þe nounbres þ{a}t comes of the m{u}ltiplicacioɳ þat comes of 2 articuls
or {com}posites, þe nedes no craft but yf þou wolt m{u}ltiply in þi
mynde. And [*leaf 156a] þere-to þou schalt haue a craft aft{er}warde,
for þou schall wyrch w{i}t{h} digettes in þe tables, as þou schalt know
aft{er}warde. v{er}sus.
[Headnote: To multiply one Composite by another.]
¶ Postea p{ro}cedas postrema{m} m{u}ltiplica{n}do
[Recte multiplicans per cu{n}ctas i{n}feriores]
Condic{i}onem tamen t{a}li q{uod} m{u}ltiplicant{es}
Scribas in capite quicq{ui}d p{ro}cesserit inde
Sed postq{uam} fuit hec m{u}ltiplicate fig{ur}e
Anteriorent{ur} serei m{u}ltiplica{n}t{is}
Et sic m{u}ltiplica velut isti m{u}ltiplicasti
Qui sequit{ur} nu{mer}u{m} sc{ri}ptu{m} quiscu{n}q{ue} figur{is}.
[Sidenote: How to multiply one number by another. Multiply the ‘last’
figure of the higher by the ‘first’ of the lower number. Set the
answer over the first of the lower: then multiply the second of the
lower, and so on. Then antery the lower number: as thus. Now multiply
by the last but one of the higher: as thus. Antery the figures again,
and multiply by five: Then add all the figures above the line: and
you will have the answer.]
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