Algorithms; Arithmetic -- Early works to 1900; Mathematics -- History
¶ Postea p{ro}cedas medians, si p{ri}ma figura
Si par aut i{m}par videas.
[Sidenote: See if the number is even or odd.]
¶ Her{e} he says, when þ{o}u hast write a rewe of figures, þ{o}u schalt
take hede wheþ{er} þe first figur{e} be eueɳ or odde in nombre, &
vnd{er}stonde þ{a}t he spekes of þe first figure in þe ryȝt side. And
i{n} the ryght side þ{o}u schall{e} begynne in þis Craft.
¶ Quia si fu{er}it par,
Dimidiab{is} eam, scribe{n}s quicq{ui}d remanebit:
[Sidenote: If it is even, halve it, and write the answer in its
place.]
¶ Her{e} is the first case of þis craft, þe quych is þis, yf þe first
figur{e} be euen. þou schal take away fro þe figur{e} euen halfe, & do
away þat fig{ur}e and set þ{ere} þat leues ou{er}, as þus, 4. take
[*leaf 149b] halfe out of 4, & þan þ{ere} leues 2. do away 4 & sett
þ{ere} 2. þis is lyght y-nowȝt. v{er}sus.
[Headnote: The Mediation of an Odd Number.]
¶ Impar si fu{er}it vnu{m} demas mediar{e}
Quod no{n} p{re}sumas, s{ed} quod sup{er}est mediabis
Inde sup{er} tractu{m} fac demptu{m} quod no{ta}t vnu{m}.
[Sidenote: If it is odd, halve the even number less than it. Here is
an example. Then write the sign for one-half over it. Put the mark
only over the first figure.]
Her{e} is þe secunde case of þis craft, the quych is þis. yf þe first
figur{e} betoken{e} a nombre þat is odde, the quych odde schal not be
mediete, þen þ{o}u schalt medye þat nombre þat leues, when the odde of
þe same nomb{re} is take away, & write þat þ{a}t leues as þ{o}u diddest
in þe first case of þis craft. Whaɳ þ{o}u hayst write þat. for þ{a}t þat
leues, write such a merke as is her{e} ʷ vpon his hede, þe quych merke
schal betokeɳ halfe of þe odde þat was take away. lo an Ensampull. 245.
the first figur{e} her{e} is betokenyng{e} odde nombre, þe quych is 5,
for 5 is odde; þ{er}e-for{e} do away þat þ{a}t is odde, þe quych is 1.
þen leues 4. þen medye 4 & þen leues 2. do away 4. & sette þ{ere} 2,
& make such a merke ʷ upon his hede, þat is to say ou{er} his hede of 2
as þus. 242.ʷ And þen worch forth in þe oþ{er} figures tyll þ{o}u come
to þe ende. by þe furst case as þ{o}u schalt vnd{er}stonde þat þ{o}u
schalt [*leaf 150a] neu{er} make such a merk but ou{er} þe first
fig{ur}e hed in þe riȝt side. Wheþ{er} þe other fig{ur}es þat comyɳ
aft{er} hym be eueɳ or odde. v{er}sus.
[Headnote: The Cases of the Craft of Mediation.]
¶ Si monos, dele; sit t{ibi} cifra post no{ta} supra.
[Sidenote: If the first figure is one put a cipher.]
¶ Here is þe thryde case, þe quych yf the first figur{e} be a figur{e}
of 1. þ{o}u schalt do away þat 1 & set þ{ere} a cifer, & a merke ou{er}
þe cifer as þus, 241. do away 1, & sett þ{ere} a cifer w{i}t{h} a merke
ou{er} his hede, & þen hast þ{o}u ydo for þat 0. as þus 0ʷ þen worch
forth in þe oþer fig{ur}ys till þ{o}u come to þe ende, for it is lyght
as dyche water. vn{de} v{er}sus.
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