Algorithms; Arithmetic -- Early works to 1900; Mathematics -- History
[Sidenote: There are 6 rules of Multiplication. (1) Digit by digit.
See the table above. (2) Digit by article. (3) Composite by digit.]
And ther ben .6 rules of Multiplicacio{u}n; ffirst, yf a digit multiplie
a digit, considr{e} how many of vnytees ben betwix the digit by
multiplying and his .10. beth{e} to-gedre accompted{e}, and so oft
w{i}t{h}-draw the digit multiplying, vnder the article of his
deno{m}i{n}acio{u}n. Example of grace. If thow wolt wete how moch{e} is
.4. tymes .8., [{11}]se how many vnytees ben betwix .8.[{12}] and .10.
to-geder rekened{e}, and it shew{i}t{h} that .2.: withdraw ther-for the
quat{e}rnary, of the article of his deno{m}i{n}acion twies, of .40., And
ther remayneth{e} .32., that is, to some of all{e} the
multiplicacio{u}n. Wher-vpon for more evidence and declaracion the
seid{e} table is made. Whan a digit multiplieth{e} an article, thow most
bryng the digit into þe digit, of þe which{e} the article [has][{13}]
his name, and eu{er}y vnyte shall{e} stond{e} for .10., and eu{er}y
article an .100. Whan the digit multiplieth{e} a nombre componed{e},
þ{o}u most bryng the digit into aiþ{er} part of the nombre componed{e},
so þ{a}t digit be had into digit by the first rule, into an article by
þe second{e} rule; and aft{er}ward{e} Ioyne the p{ro}duccio{u}n, and
þ{er}e wol be the some totall{e}.
+----------------+---+---+--++---+---+--++---+---+--++---+---+---+---+
|Resultans | 1 | 2 | 6|| 7 | 3 | 6|| 1 | 2 | 0|| 1 | 2 | 0 | 8 |
+----------------+---+---+--++---+---+--++---+---+--++---+---+---+---+
|Multiplicand{us}| | | 2|| | 3 | 2|| | | 6|| | | | 4 |
+----------------+---+---+--++---+---+--++---+---+--++---+---+---+---+
|Multiplicans | | 6 | 3|| 2 | 3 | || | 2 | 0|| | 3 | 0 | 2 |
+----------------+---+---+--++---+---+--++---+---+--++---+---+---+---+
[Sidenote: (4) Article by article. (5) Composite by article.
(6) Composite by composite. How to set down your numbers. If the
result is a digit, an article, or a composite. Multiply next by
the last but one, and so on.]
Public-domain text, read in full here on John Shaqi.
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