Algorithms; Arithmetic -- Early works to 1900; Mathematics -- History
¶ This is þe Chapt{er} of subtraccioɳ, in the quych þou most know foure
nessessary thyng{es}. the first what is subtraccioɳ. þe secunde is how
mony nombers þou most haue to subt{ra}ccioɳ, the thryd is how mony
maners of cases þ{ere} may happe in þis craft of subtraccioɳ. The fourte
is qwat is þe p{ro}fet of þis craft. ¶ As for þe first, þ{o}u most know
þ{a}t subtraccioɳ is drawyng{e} of on{e} nowmb{er} oute of anoþ{er}
nomber. As for þe secunde, þou most knowe þ{a}t þou most haue two rewes
of figuris on{e} vnd{er} anoþ{er}, as þ{o}u addyst in addicioɳ. As for
þe thryd, þ{o}u moyst know þ{a}t four{e} man{er} of diu{er}se casis mai
happe in þis craft. ¶ As for þe fourt, þou most know þ{a}t þe p{ro}fet
of þis craft is whenne þ{o}u hasse taken þe lasse nomber out of þe
mor{e} to telle what þ{ere} leues ou{er} þ{a}t. & þ{o}u most be-gynne to
wyrch in þ{is} craft in þe ryght side of þe boke, as þ{o}u diddyst in
addicioɳ. V{er}sus.
¶ Maiori nu{mer}o num{er}u{m} suppone minorem,
¶ Siue pari nu{mer}o supponat{ur} num{er}us par.
[Sidenote: Put the greater number above the less.]
[*leaf 143a] ¶ Her{e} he telles þat þe hier nomber most be mor{e} þen þe
neþ{er}, or els eueɳ as mych. but he may not be lasse. And þe case is
þis, þou schalt drawe þe neþ{er} nomber out of þe hyer, & þou mayst not
do þ{a}t yf þe hier nomber wer{e} lasse þan þat. ffor þ{o}u mayst not
draw sex out of 2. But þ{o}u mast draw 2 out of sex. And þou maiste draw
twene out of twene, for þou schal leue noȝt of þe hier twene vn{de}
v{er}sus.
[Headnote: The Cases of the Craft of Subtraction.]
¶ Postea si possis a prima subt{ra}he p{ri}ma{m}
Scribens quod remanet.
[Sidenote: The first case of subtraction. Here is an example.]
Her{e} is þe first case put of subtraccioɳ, & he says þou schalt begynne
in þe ryght side, & draw þe first fig{ure} of þe neþ{er} rewe out of þe
first fig{ure} of þe hier rewe. qwether þe hier fig{ur}e be mor{e} þen
þe neþ{er}, or eueɳ as mych. And þat is notified in þe vers when he says
“Si possis.” Whan þ{o}u has þus ydo, do away þe hiest fig{ur}e & sett
þ{ere} þat leues of þe subtraccioɳ, lo an Ensampull{e}
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| 234 |
| 122 |
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draw 2 out of 4. þan leues 2. do away 4 & write þ{ere} 2, & latte þe
neþ{er} figur{e} sto{n}de stille, & so go for-by oþ{er} figuris till
þ{o}u come to þe ende, þan hast þ{o}u do.
¶ Cifram si nil remanebit.
[Sidenote: Put a cipher if nothing remains. Here is an example.]
¶ Her{e} he putt{es} þe secunde case, & hit is þis. yf it happe þ{a}t
qwen þ{o}u hast draw on neþ{er} fig{ure} out of a hier, & þ{er}e leue
noȝt aft{er} þe subt{ra}ccioɳ, þus [*leaf 143b] þou schalt do. þ{o}u
schall{e} do away þe hier fig{ur}e & write þ{ere} a cifer, as lo an
Ensampull
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| 24 |
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Public-domain text, read in full here on John Shaqi.
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