Algorithms; Arithmetic -- Early works to 1900; Mathematics -- History
¶ In nu{mer}u{m} mixtu{m} digitu{m} si ducer{e} cures
Articul{us} mixti sumat{ur} deinde resoluas
In digitu{m} post fac respectu de digitis
Articul{us}q{ue} docet excrescens in diriua{n}do
In digitu{m} mixti post ducas m{u}ltiplica{n}te{m}
¶ De digitis vt norma [{18}][docet] de [hunc]
Multiplica si{mu}l et sic postea summa patebit.
[Sidenote: The fourth case of the craft: Composite by digit. Mental
multiplication.]
Here he puttes þe 4 rewle, þe quych is þis: yf þou m{u}ltipliy on
composit be a digit as 6 tymes 24, [{19}]þen take þe diget of þat
composit, & m{u}ltiply þ{a}t digitt by þat oþ{er} diget, and kepe þe
nomb{ur} þat comes þ{ere}-of. þen take þe digit of þat composit,
& m{u}ltiply þat digit by anoþ{er} diget, by þe quych þ{o}u hast
m{u}ltiplyed þe diget of þe articul, and loke qwat comes þ{ere}-of. þen
take þ{o}u þat nounbur, & cast hit to þat other nounbur þat þ{o}u
secheste as þus yf þou wel wete qwat comes of 6 tymes 4 & twenty.
multiply þat articull{e} of þe composit by þe digit, þe quych is 6,
as yn þe thryd rewle þ{o}u was tauȝt, And þat schal be 6 scor{e}. þen
m{u}ltiply þe diget of þe {com}posit, [*leaf 164a] þe quych is 4, and
m{u}ltiply þat by þat other diget, þe quych is 6, as þou wast tauȝt in
þe first rewle, yf þ{o}u haue mynde þ{er}of, & þat wol be 4 & twenty.
cast all ylke nounburs to-ged{ir}, & hit schal be 144. And so mych is 6
tymes 4 & twenty.
[Headnote: How to multiply without Figures.]
¶ Duct{us} in articulu{m} num{erus} si {com}posit{us} sit
Articulu{m} puru{m} comites articulu{m} q{u}o{que}
Mixti pro digit{is} post fiat [et articulus vt]
Norma iubet [retinendo quod extra dicta ab illis]
Articuli digitu{m} post tu mixtu{m} digitu{m} duc
Re{gula} de digitis nec p{re}cipit articul{us}q{ue}
Ex quib{us} exc{re}scens su{m}me tu iunge p{ri}ori
Sic ma{n}ifesta cito fiet t{ibi} su{m}ma petita.
[Sidenote: The fifth case of the craft: Article by Composite.
An example.]
¶ Her{e} he puttes þe 5 rewle, þe quych is þis: yf þ{o}u wel m{u}ltiply
an Articul be a composit, m{u}ltiplie þat Articul by þe articul of þe
composit, and worch as þou wos tauȝt in þe secunde rewle, of þe quych
rewle þe v{er}se begynnes þus. ¶ Articulu{m} si p{er} Relicu{m} vis
m{u}ltiplicare. þen m{u}ltiply þe diget of þe composit by þat oþ{ir}
articul aft{ir} þe doctrine of þe 3 rewle. take þ{er}of gode hede,
I p{ra}y þe as þus. Yf þ{o}u wel wete what is 24 tymes ten. Multiplie
ten by 20, þat wel be 2 hundryth. þen m{u}ltiply þe diget of þe 10, þe
quych is 1, by þe diget of þe composit, þe quych is 4, & þ{a}t [*leaf
164b] wol be 4. þen reken eu{er}y vnite þat is in 4 for 10, & þat schal
be 40. Cast 40 to 2 hundryth, & þat wol be 2 hundryth & 40. And so mych
is 24 tymes ten.
[Headnote: How to work without Figures.]
Public-domain text, read in full here on John Shaqi.
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