Algorithms; Arithmetic -- Early works to 1900; Mathematics -- History
This boke is called þe boke of algorym, or Augrym aft{er} lewd{er} vse.
And þis boke tretys þe Craft of Nombryng, þe quych crafte is called also
Algorym. Ther was a kyng of Inde, þe quich heyth Algor, & he made þis
craft. And aft{er} his name he called hit algory{m}; or els anoþ{er}
cause is quy it is called Algorym, for þe latyn word of hit s.
Algorism{us} com{es} of Algos, grece, q{uid} e{st} ars, latine, craft oɳ
englis, and rides, q{uid} e{st} {nu}me{rus}, latine, A nomb{ur} oɳ
englys, inde d{icitu}r Algorism{us} p{er} addic{i}one{m} hui{us} sillabe
m{us} & subtracc{i}onem d & e, q{ua}si ars num{er}andi. ¶ fforthermor{e}
ȝe most vnd{ir}stonde þ{a}t in þis craft ben vsid teen figurys, as here
ben{e} writen for ensampul, φ 9 8 7 6 5 4 3 2 1. ¶ Expone þe too
v{er}sus afor{e}: this p{re}sent craft ys called Algorism{us}, in þe
quych we vse teen signys of Inde. Questio. ¶ Why teɳ fyguris of Inde?
Solucio. for as I haue sayd afore þai wer{e} fonde fyrst in Inde of a
kyng{e} of þat Cuntre, þ{a}t was called Algor.
[Headnote: Notation and Numeration.]
[Sidenote: v{ersus} [in margin].]
¶ Prima sig{nifica}t unu{m}; duo ve{r}o s{e}c{un}da:
¶ Tercia sig{nifica}t tria; sic procede sinistre.
¶ Don{e}c ad extrema{m} venias, que cifra voca{tur}.
+¶ Cap{itulu}m primum de significac{i}o{n}e figurar{um}.+
[Sidenote: Expo{sitio} v{ersus}.]
[Sidenote: The meaning and place of the figures. Which figure is
read first.]
In þis verse is notifide þe significac{i}on of þese figur{is}. And þus
expone the verse. Þe first signifiyth on{e}, þe secu{n}de [*leaf 136b]
signi[*]fiyth tweyn{e}, þe thryd signifiyth thre, & the fourte
signifiyth 4. ¶ And so forthe towarde þe lyft syde of þe tabul or of þe
boke þ{a}t þe figures ben{e} writen{e} in, til þat þ{o}u come to the
last figure, þ{a}t is called a cifre. ¶ Questio. In quych syde sittes þe
first figur{e}? Soluc{io}, forsothe loke quich figure is first in þe
ryȝt side of þe bok or of þe tabul, & þ{a}t same is þe first figur{e},
for þ{o}u schal write bakeward, as here, 3. 2. 6. 4. 1. 2. 5. The
fig{ur}e of 5. was first write, & he is þe first, for he sittes oɳ þe
riȝt syde. And the fig{ur}e of 3 is last. ¶ Neu{er}-þe-les wen he says
¶ P{ri}ma sig{nifica}t vnu{m} &c., þat is to say, þe first betokenes
on{e}, þe secu{n}de. 2. & fore-þ{er}-mor{e}, he vnd{ir}stondes noȝt of
þe first fig{ur}e of eu{er}y rew. ¶ But he vnd{ir}stondes þe first
figure þ{a}t is in þe nomb{ur} of þe forsayd teen figuris, þe quych is
on{e} of þ{e}se. 1. And þe secu{n}de 2. & so forth.
[Sidenote: v{ersus} [in margin].]
¶ Quelib{et} illar{um} si pr{im}o limite ponas,
¶ Simplicite{r} se significat: si v{er}o se{cun}do,
Se decies: sursu{m} {pr}ocedas m{u}ltiplicando.
¶ Na{m}q{ue} figura seque{n}s q{uam}uis signat decies pl{us}.
¶ Ipsa locata loco quam sign{ific}at p{ertin}ente.
[Transcriber’s Note:
Public-domain text, read in full here on John Shaqi.
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