Algorithms; Arithmetic -- Early works to 1900; Mathematics -- History
Multiply 2 by 2, þat wol be 4; set 4 ou{er} þe hede of þat 2. þen[{14}]
m{u}ltiplies þe hier 2 by þe neþ{er} 3, þat wol be 6. set ou{er} his
hede 6, multiplie þe hier 2 by þe neþ{er} 4, þat wol be 8. do away þe
hier 2, þe quych stondes ou{er} þe hede of þe figur{e} of 4, and set
þ{er}e 8. And þou schalt haue þis nounb{re} here
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| 234 |
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And antery þi figur{e}s, þat is to say, set þi neþ{er} 4 vnd{er} þe hier
3, and set þi 2 other figures ner{e} hym, so þat þe neþ{er} 2 stonde
vnd{ur} þe hier 6, þe quych 6 stondes in þe lyft side. And þat 3 þat
stondes vndur 8, as þus aftur ȝe may se,
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| 234 |
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Now worch forthermor{e}, And m{u}ltiplye þat hier 3 by 2, þat wol be 6,
set þ{a}t 6 þe quych stondes ou{er} þe hede of þat 2, And þen worch as I
taȝt þe afore.
[*leaf 160a]
¶ Si sup{ra}posita cifra debet m{u}ltiplicar{e}
Prorsus ea{m} deles & ibi scribi cifra debet.
[Sidenote: The sixth case of the craft.]
¶ Her{e} is þe 6 case, þe quych is þis: yf hit happe þat þe figur{e} by
þe quych þou schal m{u}ltiplye þe hier figur{e}, þe quych stondes ryght
ou{er} hym by a 0, þou schalt do away þat figur{e}, þe quych ou{er} þat
cifre hede. ¶ And write þ{ere} þat nounbre þat comes of þe
m{u}ltiplicacioɳ as þus, 23. do away 2 and sett þ{er}e a 0. vn{de}
v{er}sus.
¶ Si cifra m{u}ltiplicat alia{m} posita{m} sup{er} ip{s}am
Sitq{ue} locus sup{ra} vacu{us} sup{er} hanc cifra{m} fiet.
[Sidenote: The seventh case of the craft.]
¶ Her{e} is þe 7 case, þe quych is þis: yf a 0 schal m{u}ltiply a
figur{e}, þe quych stondes not recte ou{er} hym, And ou{er} þat 0 stonde
no thyng, þou schalt write ou{er} þat 0 anoþ{er} 0 as þus:
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| 24|
|03 |
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multiplye 2 be a 0, it wol be nothyng{e}. write þere a 0 ou{er} þe hede
of þe neþ{er} 0, And þen worch forth til þou come to þe ende.
¶ Si sup{ra}[{15}] fuerit cifra sem{per} e{st} p{re}t{er}eunda.
[Sidenote: The eighth case of the craft.]
¶ Her{e} is þe 8 case, þe quych is þis: yf þ{ere} be a 0 or mony cifers
in þe hier rewe, þ{o}u schalt not m{u}ltiplie hem, bot let hem stonde.
And antery þe figures beneþe to þe next figur{e} sygnificatyf as þus:
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|00032|.
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Ou{er}-lepe all{e} þese cifers & sett þat [*leaf 160b] neþ{er} 2 þat
stondes toward þe ryght side, and sett hym vnd{ur} þe 3, and sett þe
oþ{er} nether 2 nere hym, so þat he stonde vnd{ur} þe thrydde 0, þe
quych stondes next 3. And þan worch. vnd{e} v{er}sus.
¶ Si dubites, an sit b{e}n{e} m{u}ltiplicac{i}o facta,
Diuide totalem nu{mer}u{m} p{er} multiplicante{m}.
[Sidenote: How to prove the multiplication.]
Public-domain text, read in full here on John Shaqi.
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