Algorithms; Arithmetic -- Early works to 1900; Mathematics -- History
¶ Compositu{m} num{er}u{m} mixto si[c] m{u}ltiplicabis
Vndecies tredeci{m} sic e{st} ex hiis op{er}andum
In reliquu{m} p{rimu}m demu{m} duc post in eund{em}
Vnu{m} post den{u}m duc in t{ri}a dei{n}de p{er} vnu{m}
Multiplices{que} dem{u}m int{ra} o{mn}ia m{u}ltiplicata
In su{m}ma decies q{ua}m si fu{er}it t{ibi} doces
Multiplicandor{um} de normis sufficiunt h{ec}.
[Sidenote: The sixth case of the craft: Composite by Composite.
Mental multiplication. An example of the sixth case of the craft.]
¶ Here he puttes þe 6 rewle, & þe last of all{e} multiplicacioɳ,
þe quych is þis: yf þ{o}u wel m{u}ltiplye a {com}posit by a-noþ{er}
composit, þou schalt do þus. m{u}ltiplie þ{a}t on composit, qwych þ{o}u
welt of the twene, by þe articul of þe toþ{er} composit, as þ{o}u wer{e}
tauȝt in þe 5 rewle, þen m{u}ltiplie þ{a}t same composit, þe quych þou
hast m{u}ltiplied by þe oþ{er} articul, by þe digit of þe oþ{er}
composit, as þ{o}u was tauȝt in þe 4 rewle. As þus, yf þou wold wete
what is 11 tymes 13, as þ{o}u was tauȝt in þe 5 rewle, & þat schal be an
hundryth & ten, aft{er}warde m{u}ltiply þat same co{m}posit þ{a}t þ{o}u
hast m{u}ltiplied, þe quych is a .11. And m{u}ltiplye hit be þe digit of
þe oþ{er} composit, þe quych is 3, for 3 is þe digit of 13, And þat wel
be 30. þen take þe digit of þat composit, þe quych composit þou
m{u}ltiplied by þe digit of þ{a}t oþ{er} {com}posit, [*leaf 165a] þe
quych is a 11. ¶ Also of the quych 11 on is þe digit. m{u}ltiplie þat
digitt by þe digett of þat oth{er} composit, þe quych diget is 3,
as þ{o}u was tauȝt in þe first rewle i{n} þe begynnyng{e} of þis craft.
þe quych rewle begynn{es} “In digitu{m} cures.” And of all{e} þe
m{u}ltiplicacioɳ of þe 2 digitt comys thre, for onys 3 is but 3. Now
cast all{e} þese nounbers toged{ur}, the quych is þis, a hundryth & ten
& 30 & 3. And al þat wel be 143. Write 3 first in þe ryght side. And
cast 10 to 30, þat wol be 40. set 40 next aft{ur} towarde þe lyft side,
And set aftur a hundryth as her{e} an Ensampull{e}, 143.
(Cetera desunt.)
FOOTNOTES (The Crafte of Nombrynge):
[1: In MS, ‘awiy.’]
[2: ‘ben’ repeated in MS.]
[3: In MS. ‘thausandes.’]
[4: Perhaps “So.”]
[5: ‘hali’ marked for erasure in MS.]
[6: ‘moy’ in MS.]
[7: ‘Subt{ra}has a{u}t addis a dext{ri}s {ve}l medi{a}b{is}’ added
on margin of MS.]
[8: After ‘craft’ insert ‘the .4. what is þe p{ro}fet of þis craft.’]
[9: After ‘sythes’ insert ‘& þis wordes fyue sithe & sex sythes.’]
[10: ‘t’l’ marked for erasure before ‘tyl’ in MS.]
[11: Here ‘of þe same rew’ is marked for erasure in MS.]
[12: ‘s{ed}’ deleted in MS.]
[13: 6883 in MS.]
[14: ‘þen’ overwritten on ‘þat’ marked for erasure.]
[15: ‘Supra’ inserted in MS. in place of ‘cifra’ marked for erasure.]
[16--16: Marked for erasure in MS.]
[17: 4 in MS.]
[18: docet. decet MS.]
[19: ‘4 times 4’ in MS.]
+The Art of Nombryng.+
A TRANSLATION OF
+John of Holywood’s De Arte Numerandi.+
Public-domain text, read in full here on John Shaqi.
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