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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 2c
# Folio 107r, page id 00068199:0213
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 46 lines, status machine
# Lines: 46 recognised, mean confidence 0.87
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 4 dX)
si velimus Ya + +  dx (reddere summulitea poterius facere x O+ D+Q, et B= SmArat
et5 sZag et E pZ + ah ita explicando tu per 2, 3, 4, 5,  habebitur formala  in qua esotabit
22, Z, a, 208, 209, 218, 0D, 0E, D4, fiat 2 = 5Cp + +0∞ + WDZ, ab agzr ar
et quadrando aeq. Y. fiet formula (8) in qua eadem extabunt quae in formula B. pro comparatione somuntarum et 8
 prodibunt literae aequationes 9; literae autem adsunt 11. Itaque videtur res succedere debere
Hiabetur ergo atXt X ex ex quadraturis Conicarum. Indo
Huic dabitur etiam
S X+X ex Nam multiplicando semper irrationalitas tolli potest ex nominatores, et itam per
valorem ipsius X, (rq2) explicato  Et ita irrationates quae sunt in
Ita videtur prima fronte, sed jam ut video nova prodit difficultas, nam quia dx, continet O, D, E, hinc
u_ +.. x+.. X etc
dx ducendo in 4, prodit alicubi ODe dque summanda, quae non est in potestate
(1a + lX + ∞t dx
muttiplicando nominatorem, ut irrationales inde tollantur
qui latent in X, tunc in numeratore rursus incidemus in OD8
etui daretur
Sed si adhibemmus solum OD, CB, DG, nunquam vero C, D, e separatim, nihit tale metuendu
Sed nec habebitur . +. X +  X ete
huneni nemera
sit ergo X = bOD+ COQ + C DQ + Z +f  X. glinebit. 22, Z, a, ZCD, Z04, ZDQ, ( D, .. 0G,.. 9G.
et X+ continebie. Z2, . Z . Z, a; 3, ∞,  et Z vel Z, vel Z vel Z, in 09 vel 04, vel 8Q, adeoque erunt 16 termini
Sit jam formula Z, Z, a; et Z el a, in 0D, 04, d4, arbitrariarumu; ea in se ducta, exallabitur
ad similitudine ipsius XH. Porro X, continet arbitrarias 5, et CD, 0q, DE continent arbitrarias 3, habemus
ergo in summa arvitrarias 9+5 + 3 = 17; lteraquibus aeqq. 16 solvi videntur posse
AB
d
Sit X .X .x aequandum quadiato t a D, Z  a, et  aliud X, . x. x. tali rursus
sed AB AC Ad DC, BD cA
habemus comparationes obis, seu 18. sed literas  ob radicem quadiato  duas, 10;, ob X, 5
et ob otentas in irrationalibus 3; prodit rursu 18.. Sed au non aliquae sint imutiles, dubilatus
est quo casu numerus non esset sufficiens.
X = OD,  98, DG, si succidit, hoc habet praeclarum quod
sufficit extrahibilem reddi formutam, ut bes quadraturae deinde habeantur quas
Quaniam daturS
Haec Methodus per
ea sola irrationalis ingreditur. Prorsus ut in modo cCor efficiendi extractiones
per rationales. Hi Cicet hu pro irration rasionalibus rationales
suyplices substiuantur
His habitis licebit deinde ad hiberae
calculos, ubi oportet
habere verbus. 0D9 d7 nam haec jam per priorem resoluta
seu inventa habetur
∞D0
ab ocd
RD