Algorithms; Arithmetic -- Early works to 1900; Mathematics -- History
¶ Her{e} be-gynnes þe Chapt{r}e of m{u}ltiplicatioɳ, in þe quych þou
most know 4 thynges. ¶ Ffirst, qwat is m{u}ltiplicacioɳ. The secunde,
how mony cases may hap in multiplicacioɳ. The thryde, how mony rewes of
figur{es} þ{ere} most be. ¶ The 4. what is þe p{ro}fet of þis craft.
¶ As for þe first, þ{o}u schal vnd{er}stonde þat m{u}ltiplicacioɳ is a
bryngyng{e} to-ged{er} of 2 thyng{es} in on nombur, þe quych on nombur
{con}tynes so mony tymes on, howe [*leaf 153b] mony tymes þ{ere} ben
vnytees in þe nowmb{re} of þat 2, as twyes 4 is 8. now her{e} ben þe 2
nomb{er}s, of þe quych too nowmbr{e}s on is betokened be an adu{er}be,
þe quych is þe worde twyes, & þis worde thryes, & þis worde four{e}
sythes,[{9}] [[& þis wordes fyue sithe & sex sythes.]] & so furth of
such other lyke wordes. ¶ And tweyn nombres schal be tokenyde be a
nowne, as þis worde four{e} showys þes tweyɳ nombres y-broth in-to on
hole nombur, þat is 8, for twyes 4 is 8, as þ{o}u wost wel. ¶ And þes
nomb{re} 8 conteynes as oft tymes 4 as þ{ere} ben vnites in þ{a}t other
nomb{re}, þe quych is 2, for in 2 ben 2 vnites, & so oft tymes 4 ben in
8, as þ{o}u wottys wel. ¶ ffor þe secu{n}de, þ{o}u most know þat þ{o}u
most haue too rewes of figures. ¶ As for þe thryde, þ{o}u most know
þ{a}t 8 man{er} of diu{er}se case may happe in þis craft. The p{ro}fet
of þis Craft is to telle when a nomb{re} is m{u}ltiplyed be a noþ{er},
qwat co{m}mys þ{ere} of. ¶ fforthermor{e}, as to þe sentence of our{e}
verse, yf þ{o}u wel m{u}ltiply a nombur be a-noþ{er} nomb{ur}, þou
schalt write [*leaf 154a] a rewe of figures of what nomb{ur}s so eu{er}
þ{o}u welt, & þat schal be called Num{erus} m{u}ltiplicand{us}, Anglice,
þe nomb{ur} the quych to be m{u}ltiplied. þen þ{o}u schalt write
a-nother rewe of figur{e}s, by þe quych þ{o}u schalt m{u}ltiplie the
nombre þat is to be m{u}ltiplied, of þe quych nomb{ur} þe furst fig{ur}e
schal be write vnd{er} þe last figur{e} of þe nomb{ur}, þe quych is to
be m{u}ltiplied. And so write forthe toward þe lyft side, as her{e} you
may se,
+----------+
| 67324 |
| 1234 |
+----------+
And þis on{e} nomb{ur} schall{e} be called nu{meru}s m{u}ltiplicans.
An{gli}ce, þe nomb{ur} m{u}ltipliyng{e}, for he schall{e} m{u}ltiply þe
hyer nounb{ur}, as þus on{e} tyme 6. And so forth, as I schal telle the
aft{er}warde. And þou schal begyn in þe lyft side. ¶ ffor-þ{ere}-more
þou schalt vndurstonde þat þ{ere} is two man{ur}s of m{u}ltiplicacioɳ;
one ys of þe wyrchyng{e} of þe boke only in þe mynde of a mon. fyrst he
teches of þe fyrst man{er} of duplacioɳ, þe quych is be wyrchyng{e} of
tabuls. Aft{er}warde he wol teche on þe secunde man{er}. vn{de}
v{er}sus.
[Headnote: To multiply one Digit by another.]
In digitu{m} cures digitu{m} si duc{er}e ma{i}or
[*leaf 154b.]
P{er} qua{n}tu{m} distat a denis respice debes
¶ Namq{ue} suo decuplo totiens deler{e} mi{n}ore{m}
Sitq{ue} tibi nu{meru}s veniens exinde patebit.
Public-domain text, read in full here on John Shaqi.
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