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# Title: Leibniz-Handschriften zur Mathematik LH 35, 1, 30
# Folio 14r, page id 00067992:0027
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Qua ratione inpentem speciosae descetu suppleo
qu’od nempe assumtae vuloo notq. scilicete
peliterae
a b dc non satis sionificat ipcarum quantita
tum. inter se ordinem. et relationem. ita in pro
gressu calculi non apparent pulchrae illae har
moniae, levesq ac theoremata quae primo statim
aspecta desionantur, si ordo quidam certus e
Ecoularis in notando servettur. xempli
eda vulvari more es 3+bX2 14+ + multin
plicetur per, ga 2 +pFx +C
sCgX + b9X + + 69X +RqX 2
produetum erit
e
p
+a PX+ + b∞ 3 +P∞ Z.
HyX
de
s e
e
sed si iox +IIX= L I2X + 13 multiplicemus per 2orL
EIX + 22, ubi nulla nota sine ratione assumta est
nihilque est in assumtis quod non exprimatur et
discriminetur in notis; etiam. prooressus coreoue
in producto apparebit. Nempe per notam dextram
numeri distinouimus coefficientes formulae prima
bero sinistram distinovimus sedem in quavis for
mula seu cuinam potentiae sit coefficiens sic zi intelligimus esse in)
intellicimus ce coefficientem ipsiusx seu X
 1Z ntellieimus esse in formula prima,
se coifficientem ipsius xt
vel idem quod, 2a et a+ b+c, idem quod atata sivienten ipsius des nformula prima
seu idem 4 ha. ex quo etiam apparet quomodo Mul, dam I0x 3 + Iix = &C in 2aX + ZIX dc d
Se
a coefficientibus formula secundae, per notam
si a et b concidant sit a +b idem quod a + a fomuta fecun
pr
+CXd + bex H( X +
+ . 20x + + 1Z, 20x 3 + 13, 20XX
+10. 21X
II. 21X 12 210f +15. ZIX
10. ZL
e
I1. 227 12 227 + 13. 22
tic non bene
apparet ordo
formula secunde