Algorithms; Arithmetic -- Early works to 1900; Mathematics -- History
Sothly figure, difference, places, and lynes supposen o thyng other the
same, But they ben sette here for dyue{r}s resons. ffigure is cleped{e}
for p{ro}traccio{u}n of figuracio{u}n; Difference is called{e} for
therby is shewed{e} eu{er}y figure, how it hath{e} difference fro the
figures before them: place by cause of space, where-in me writeth{e}:
lynees, for that is ordeyned{e} for the p{re}sentacio{u}n of eu{er}y
figure. And vnderstonde that ther ben .9. lymytes of figures that
rep{re}senten the .9. digit{es} that ben these. 0. 9. 8. 7. 6. 5. 4. 3.
2. 1. The .10. is cleped{e} theta, or a cercle, other a cifre, other a
figure of nought for nought it signyfieth{e}. Nathelesse she holdyng
that place giveth{e} others for to signyfie; for with{e}-out cifre or
cifres a pure article may not be writte. And sithen that by these .9.
figures significatif{es} Ioyned{e} w{i}t{h} cifre or w{i}t{h} cifres
all{e} nombres ben and may be rep{re}sented{e}, It was, nether is,
no nede to fynde any more figures. And note wele that eu{er}y digite
shall{e} be writte w{i}t{h} oo figure allone to it ap{ro}pred{e}. And
all{e} articles by a cifre, ffor eu{er}y article is named{e} for oone of
the digitis as .10. of 1.. 20. of. 2. and so of the others, &c. And
all{e} nombres digitall{e} owen to be sette in the first difference:
All{e} articles in the seconde. Also all{e} nombres fro .10. til an
.100. [which] is excluded{e}, with .2. figures mvst be writte; And yf it
be an article, by a cifre first put, and the figure y-writte toward{e}
the lift hond{e}, that signifieth{e} the digit of the which{e} the
article is named{e}; And yf it be a nombre componed{e}, ffirst write the
digit that is a part of that componed{e}, and write to the lift side the
article as it is seid{e} be-fore. All{e} nombre that is fro an
hundred{e} tille a thousand{e} exclused{e}, owith{e} to be writ by .3.
figures; and all{e} nombre that is fro a thousand{e} til .x. Mł. mvst be
writ by .4. figures; And so forthe. And vnderstond{e} wele that eu{er}y
figure sette in the first place signyfieth{e} his digit; In the
second{e} place .10. tymes his digit; In the .3. place an hundred{e} so
moche; In the .4. place a thousand{e} so moche; In the .5. place .x.
thousand{e} so moch{e}; In the .6. place an hundred{e} thousand{e} so
moch{e}; In the .7. place a thousand{e} thousand{e}. And so infynytly
mvltiplying by [*Fol. 49.] these .3. 10, 100, 1000. And vnderstand{e}
wele that competently me may sette vpon figure in the place of a
thousand{e}, a prik{e} to shewe how many thousand{e} the last figure
shall{e} rep{re}sent. We writen{e} in this art to the lift side-ward{e},
as arabien{e} writen{e}, that weren fynders of this science, other{e}
for this reso{u}n, that for to kepe a custumable ordr{e} in redyng,
Sette we all{e}-wey the more nombre before.
[Headnote: Chapter II. Addition.]
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