Algorithms; Arithmetic -- Early works to 1900; Mathematics -- History
Caste 2 to four{e} & þat wel be sex, do away 4. & write in þe same place
þe fig{ur}e of sex. ¶ And lete þe fig{ur}e of 2 in þe nether rewe stonde
stil. When þ{o}u hast do so, cast 3 & 4 to-ged{ur} and þat wel be seuen
þ{a}t is a digit. Do away þe 3, & set þ{ere} seueɳ, and lete þe neþ{er}
fig{ure} stonde still{e}, & so worch forth bakward til þ{o}u hast ydo
all to-ged{er}.
Et si composit{us}, in limite scribe seque{n}te
Articulum, p{ri}mo digitum; q{uia} sic iubet ordo.
[Sidenote: Suppose it is a Composite, set down the digit,
and carry the tens. Here is an example.]
¶ Here is þe secunde case þ{a}t may happe in þis craft. And þe case is
þis, yf of þe casting of 2 nomburis to-ged{er}, as of þe fig{ur}e of þe
hyer rewe & of þe figure of þe neþ{er} rewe come a Composyt, how schalt
þ{ou} worch. Þ{us} þ{o}u schalt worch. Thou shalt do away þe fig{ur}e of
þe hyer nomb{er} þat was cast to þe figure of þe neþ{er} nomber. ¶ And
write þ{ere} þe digit of þe Composyt. And set þe articul of þe composit
next aft{er} þe digit in þe same rewe, yf þ{ere} be no mo fig{ur}es
aft{er}. But yf þ{ere} be mo figuris aft{er} þat digit. And þere he
schall be rekend for hym selfe. And when þ{o}u schalt adde þ{a}t ylke
figure þ{a}t berys þe articull{e} ou{er} his hed to þe figur{e} vnd{er}
hym, þ{o}u schalt cast þat articul to þe figure þ{a}t hase hym ou{er}
his hed, & þ{ere} þat Articul schal tokeɳ hym selfe. lo an Ensampull
[*leaf 141b] of all.
326
216.
Cast 6 to 6, & þ{ere}-of wil arise twelue. do away þe hyer 6 & write
þ{ere} 2, þ{a}t is þe digit of þis composit. And þe{n} write þe
articull{e} þat is ten ou{er} þe figuris hed of twene as þ{us}.
1
322
216.
Now cast þe articull{e} þ{a}t standus vpon þe fig{ur}is of twene hed to
þe same fig{ur}e, & reken þat articul bot for on{e}, and þan þ{ere} wil
arise thre. Þan cast þat thre to þe neþ{er} figure, þat is on{e}, & þat
wul be four{e}. do away þe fig{ur}e of 3, and write þ{ere} a fig{ur}e of
foure. and lete þe neþ{er} fig{ur}e stonde stil, & þan worch forth.
vn{de} {ver}sus.
¶ Articulus si sit, in p{ri}mo limite cifram,
¶ Articulu{m} v{er}o reliquis inscribe figuris,
Vel p{er} se scribas si nulla figura sequat{ur}.
[Sidenote: Suppose it is an Article, set down a cipher and carry
the tens. Here is an example.]
¶ Her{e} he puttes þe thryde case of þe craft of Addicioɳ. & þe case is
þis. yf of Addiciouɳ of 2 figuris a-ryse an Articull{e}, how schal þ{o}u
do. thou most do away þe heer fig{ur}e þ{a}t was addid to þe neþ{er},
& write þ{ere} a cifre, and sett þe articuls on þe figuris hede, yf
þ{a}t þ{ere} come ony aft{er}. And wyrch þan as I haue tolde þe in þe
secunde case. An ensampull.
25.
15
Cast 5 to 5, þat wylle be ten. now do away þe hyer 5, & write þ{ere} a
cifer. And sette ten vpon þe figuris hed of 2. And reken it but for on
þus.] lo an Ensampull{e}
+----+
| 1 |
| 2φ |
| 15 |
+----+
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