Algorithms; Arithmetic -- Early works to 1900; Mathematics -- History
¶ Her{e} he says, yf ou{er} þe fyrst fig{ur}e in þe ryȝt side be such a
merke as is her{e} made, ʷ, þ{o}u schall{e} fyrst doubull{e} þe
figur{e}, the quych stondes vnd{er} þ{a}t merke, & þen þou schalt doubul
þat merke þe quych stond{es} for haluendel on. for too haluedels makes
on, & so þ{a}t wol be on. cast þ{a}t on to þat duplacioɳ of þe figur{e}
ou{er} whos hed stode þat merke, & write it in þe same place þ{ere} þat
þe figur{e} þe quych was doublet stode, as þus 23ʷ. double 3, þat wol be
6; doubul þat halue on, & þat wol be on. cast on to 6, þ{a}t wel be 7.
do away 6 & þat 1, & sett þ{ere} 7. þan hase þou do. as for þat
figur{e}, þan go [*leaf 148b] to þe oþ{er} fig{ure} & worch forth.
& þ{o}u schall neu{er} haue such a merk but ou{er} þe hed of þe furst
figure in þe ryght side. And ȝet it schal not happe but yf it were
y-halued a-for{e}, þus þ{o}u schalt vnd{er}stonde þe verse. ¶ Si sup{er}
ext{re}ma{m} &c. Et nota, talis fig{ur}a ʷ significans medietate{m},
unitat{is} veniat, {i.e.} contingat u{e}l fiat sup{er} ext{re}ma{m},
{i.e.} sup{er} p{ri}ma{m} figura{m} in ext{re}mo sic v{er}sus dextram
ars dat: {i.e.} reddit monade{m}. {i.e.} vnitate{m} eide{m}. {i.e.}
eidem note & declina{tur} hec monos, d{i}s, di, dem, &c. ¶ Quod {er}g{o}
to{tum} ho{c} dabis monade{m} note {con}ting{et}. {i.e.} eveniet tibi si
dimidiasti, {i.e.} accipisti u{e}l subtulisti medietatem alicuius unius,
in cuius principio sint figura nu{mer}u{m} denotans i{m}pare{m} p{rim}o
{i.e.} principiis.
[Headnote: The Craft of Mediation.]
¶ Sequit{ur} de mediacione.
++Incipe sic, si vis alique{m} nu{me}ru{m} mediar{e}:
Sc{ri}be figurar{um} seriem sola{m}, velut an{te}.
[Sidenote: The four things to be known in mediation: the first the
second; the third; the fourth. Begin thus.]
¶ In þis Chapter is taȝt þe Craft of mediaciouɳ, in þe quych craft þ{o}u
most know 4 thynges. ffurst what is mediacioɳ. the secunde how mony
rewes of figur{es} þ{o}u most haue in þe wyrchyng{e} of þis craft. þe
thryde how mony diu{er}se cases may happ in þis craft.[{8}] [[the .4.
what is þe p{ro}fet of þis craft.]] ¶ As for þe furst, þ{o}u schalt
vndurstonde þat mediacioɳ is a takyng out of halfe a nomber out of a
holle nomber, [*leaf 149a] as yf þ{o}u wolde take 3 out of 6. ¶ As for
þe secunde, þ{o}u schalt know þ{a}t þ{o}u most haue on{e} rewe of
figures, & no moo, as þ{o}u hayst in þe craft of duplacioɳ. ¶ As for the
thryd, þou most vnd{er}stonde þat 5 cases may happe in þis craft. ¶ As
for þe fourte, þou schall{e} know þat the p{ro}fet of þis craft is when
þ{o}u hast take away þe haluendel of a nomb{re} to telle qwat þer{e}
schall{e} leue. ¶ Incipe sic, &c. The sentence of þis verse is þis. yf
þ{o}u wold medye, þat is to say, take halfe out of þe holle, or halfe
out of halfe, þou most begynne þ{us}. Write on{e} rewe of figur{es} of
what nombre þou wolte, as þ{o}u dyddyst be-for{e} in þe Craft of
duplacioɳ. v{er}sus.
Public-domain text, read in full here on John Shaqi.
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