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# Title: Leibniz-Handschriften zur Mathematik LH 35, 1, 30
# Folio 21r, page id 00067992:0041
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dimodiam  seu Labes vare
arecu
a
quadratum dac aream trianouli ex datis tribu
lateribus X, y, 2, ut constat.
S
Hactenus non nesiadditione eaque aequalinseu
multiplicatione; Jeaque peraequalia seu potentia; et
horum inter se combinationibus usi sumus; ide cal,
culo direete prooressivo, qui quidem semper succ edit
Xunc tempus e ut admoneamur dari calculum re
oressivucumque o semp ee in potertate; et hic cal,
eculus e pro contrariis additionis, multiplicatio
nis epotentiarum cexvitationis; nempe pro sub,
excitationis
ergatione divisione et radicum extractione.
s
rempé quodvis licet addtre cuivis, quidvis licet
e
scilicet
multiplicare p quis, et ab uno quoque datam pon
0
entiam excitare livet; sed non licet vicissim
subtrahere quodvis a quovis, nec dividere quidvis
per quodvis, nec extrahere quamvis radioem exdato.
Non licet in quam scilicet ut Numeri tales inde
prodeant, quales haebenus tractavimus, integri
scilicet qui constent ex progrediente mensurae repetitione.
Nam non licet subtrahere majus à minore, nec
exacte dividre numeros multos v. 0. primitivos
nec ex acte extrahere radices nisi ex certis nu
meris p multiplicave in se invicem conflatis.
prodeunt tri succedanea, nempe cu subtractio
s
tamen
irrita e numeri prodeunt
nevativi; cum
divisio irrita est numeri fracti cum extractio
irrita e numeri surdi idemque e d quantita,
tibus quod de numeris.
Haec succodanca vere sabirsariunt, et ex aote
s