Algorithms; Arithmetic -- Early works to 1900; Mathematics -- History
¶ Her{e} by-gynnes þe craft of Addicioñ. In þis craft þ{o}u most knowe
foure thyng{es}. ¶ Fyrst þ{ou} most know what is addicioñ. Next þ{o}u
most know how mony rewles of figurys þou most haue. ¶ Next þ{o}u most
know how mony diue{r}s casys happes in þis craft of addicioñ. ¶ And next
qwat is þe p{ro}fet of þis craft. ¶ As for þe first þou most know þat
addicioñ is a castyng to-ged{ur} of twoo nomburys in-to on{e} nombr{e}.
As yf I aske qwat is twene & thre. Þ{o}u wyl cast þese twene nomb{re}s
to-ged{ur} & say þ{a}t it is fyue. ¶ As for þe secunde þou most know
þ{a}t þou schall{e} haue tweyne rewes of figures, on{e} vndur a-nother,
as her{e} þ{o}u mayst se.
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2168.
¶ As for þe thryd þou most know þ{a}t ther{e} ben foure diu{er}se cases.
As for þe forthe þ{o}u most know þ{a}t þe p{ro}fet of þis craft is to
telle what is þe hole nomb{ur} þ{a}t comes of diu{er}se nomburis. Now as
to þe texte of oure verse, he teches ther{e} how þ{o}u schal worch in
þis craft. ¶ He says yf þ{o}u wilt cast on{e} nomb{ur} to anoþ{er}
nomb{ur}, þou most by-gynne on þis wyse. ¶ ffyrst write [*leaf 140b] two
rewes of figuris & nombris so þat þ{o}u write þe first figur{e} of þe
hyer nomb{ur} euen{e} vnd{ir} the first fig{ure} of þe nether nomb{ur},
And þe secunde of þe nether nomb{ur} euen{e} vnd{ir} þe secunde of þe
hyer, & so forthe of eu{er}y fig{ur}e of both þe rewes as þ{o}u
mayst se.
123
234.
[Headnote: The Cases of the Craft of Addition.]
¶ Inde duas adde p{ri}mas hac condic{i}one:
Si digitus crescat ex addic{i}one prior{um};
P{ri}mo scribe loco digitu{m}, quicu{n}q{ue} sit ille.
[Sidenote: Add the first figures; rub out the top figure;
write the result in its place. Here is an example.]
¶ Here he teches what þ{o}u schalt do when þ{o}u hast write too rewes of
figuris on vnder an-oþ{er}, as I sayd be-for{e}. ¶ He says þ{o}u schalt
take þe first fig{ur}e of þe heyer nomb{re} & þe fyrst figur{e} of þe
neþ{er} nombre, & cast hem to-ged{er} vp-on þis condicioɳ. Thou schal
loke qweþ{er} þe nombe{r} þat comys þ{ere}-of be a digit or no. ¶ If he
be a digit þ{o}u schalt do away þe first fig{ur}e of þe hyer nomb{re},
and write þ{ere} in his stede þat he stode Inne þe digit, þ{a}t comes of
þe ylke 2 fig{ur}es, & so wrich forth oɳ oþ{er} figures yf þ{ere} be ony
moo, til þ{o}u come to þe ende toward þe lyft side. And lede þe nether
fig{ure} stonde still eu{er}-mor{e} til þ{o}u haue ydo. ffor þ{ere}-by
þ{o}u schal wyte wheþ{er} þ{o}u hast don{e} wel or no, as I schal tell
þe aft{er}ward in þe ende of þis Chapt{er}. ¶ And loke allgate þat þou
be-gynne to worch in þis Craft of [*leaf 141a] Addi[*]cioɳ in þe ryȝt
side, here is an ensampul of þis case.
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2142.
Public-domain text, read in full here on John Shaqi.
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