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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 2b
# Folio 63r, page id 00068198:0125
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Nota cum instituuntur aequationes comparabitiae
vel similes calculi, pro inveniendu  grali curva
1y 10+11 + i2y etc, (ubi 10, 11, 12 dantur
151
rationaliter integre per X) fortasse liaebit utiliter
adhibere meum analogiam inter efferentiationes et
potentias, ut ila generaliter seu indefinite difereutrtu
forte etiam utilo uit fonnutam tate rationalem inter
gram, ut  b+ Cx + D∞X + CX3 exprimi per
Imn, seu per radices vel divisores ita commodrus
applicaitur men analogia differentiationum cum 
potentis
y
du =  11.10.3
9 = 21: 20 fit dy = (3 sio) eod2 -21 d2a
b
30.20 non
Ergo fit  11. 20.20 -  10.20 (21 - 10.21d20 EEgu
10. 21 820 dirisi. per 20 et 11. 20. 20 per 10
 14. +2. 43. et 1a 1n 50 su sete qu
cum in
non habet divisore
sit se
in hypolta
x non contrneat quadratum debt diviorem seu non habet
duas radices aerquales debet 20 dividi posse per 10
fer
seu 20 = 2318. et fit 21 d (23. 10)823F jam E1, et
et
20 adevque et 2) et 23 non habent di sore coe
ex hypohesi hur oportat  d(23. 10) diviti posse per 3
seu 23d10 + 10d23 dividi posse per 23 ergo oportet
10d23 dividi posse per 23. seu 10d23: 23= 24
seu Quod ut fint in inlegris rationalibus. Ergo log. 23
24 24:10. Ergo vel 23 est constans
Nec lamen 23 potest esse constans quia elsi poneremus
24 24 = 10 tamen 5(24: 10) non foel constans
ergo si 23 sit  31. 32. 33 etc fiet log. ety log 31 = log. 324 es
posito 31, 32, 3) esse simplices. Ergo 24: 10 sic comminisci
opotet, ut fiat ex ex: 31, + dx: 32 + dx: 33, eu
ata ergo 10 habebibur 24, si possit.
12 = fghl fiet dat = Sgnal+ folah FEl dus + cgtlas
ubi abidemper est ex mulliplocata per constantem, similiter sitc
sit
seu (() Ex sit 20 = pars fiet d20 = pgr () ax + pu () dx, eu
ar + Pr5(9) x + qus (p) ax ubi si p = HX + Ia siet (P) = K
ut ( Cp) = ia. sed hoc eoanescit. Itaque fiet
II. ppgerrssek = 10 pgrte, (parse ) na5(Y) + pro (4) +9r (P)
Copgr) (fgh (l) + f9L (h) + Fhl (9) + 9h (S)) - 10 fghiC (B gr() 1B95Y) Apr 5CI)
quae aequatio debet esse identica. sed priu lamon de num atrmus jam
dicta
Irs