Algorithms; Arithmetic -- Early works to 1900; Mathematics -- History
Whan an article multiplieth{e} an article, the digit wherof he is
named{e} is to be brought Into the digit wherof the oþ{er} is named{e},
and eu{er}y vnyte wol be worth{e} [*Fol. 52.] an .100., and eu{er}y
article. a .1000. Whan an article multiplieth{e} a nombre componed{e},
thow most bryng the digit of the article into aither part of the nombre
componed{e}; and Ioyne the p{ro}duccio{u}n, and eu{er}y article wol be
worth{e} .100., and eu{er}y vnyte .10., and so woll{e} the some be
open{e}. Whan a nombre componed{e} multiplieth{e} a nombre componed{e},
eu{er}y p{ar}t of the nombre multiplying is to be had{e} into eu{er}y
p{ar}t of the nombre to be multiplied{e}, and so shall{e} the digit be
had{e} twies, onys in the digit, that other in the article. The article
also twies, ones in the digit, that other in the article. Therfor yf
thow wilt any nombre by hym-self other by any other multiplie, write the
nombre to be multiplied{e} in the ou{er} ordre by his differences, The
nombre multiplying in the lower ordre by his differences, so that the
first of the lower ordre be vnder the last of the ou{er} ordre. This
done, of the multiplying, the last is to be had{e} into the last of the
nombre to be multiplied{e}. Wherof than wolle grow a digit, an article,
other a nombre componed{e}. If it be a digit, even above the figure
multiplying is hede write his digit that come of, as it appereth{e}
here:--
+-----------------------+---+
| The resultant | 6 |
+-----------------------+---+
| To be multiplied{e} | 3 |
+-----------------------+---+
| Þe nombre multipliyng | 2 |
+-----------------------+---+
And yf an article had be writ ou{er} the fig{ur}e multiplying his hede,
put a cifre þ{er} and transferre the article toward{e} the lift hand{e},
as thus:--
+-------------------------+---+---+
| The resultant | 1 | 0 |
+-------------------------+---+---+
| to be multiplied{e} | | 5 |
+-------------------------+---+---+
| þe nombre m{u}ltipliyng | | 2 |
+-------------------------+---+---+
And yf a nombre componed{e} be writ ou{er} the figure multyplying is
hede, write the digit in the nombre componed{e} is place, and sette the
article to the lift hand{e}, as thus:--
+------------------------+---+---+
| Resultant | 1 | 2 |
+------------------------+---+---+
| to be multiplied{e} | | 4 |
+------------------------+---+---+
| the nombre multipliyng | | 3 |
+------------------------+---+---+
This done, me most bryng the last save one of the multipliyng into the
last of þe nombre to be multiplied{e}, and se what comyth{e} therof as
before, and so do w{i}t{h} all{e}, tille me come to the first of the
nombre multiplying, that must be brought into the last of the nombre to
be multiplied{e}, wherof growith{e} oþ{er} a digit, an article, [*Fol.
52b] other a nombre componed{e}. If it be a digit, In the place of the
ou{er}er, sette a-side, as here:
Public-domain text, read in full here on John Shaqi.
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