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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 1
# Folio 443v, page id 00068196:0882
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sentamento praesundit qua eam dare possent
ebantur. Nec dabibandum videtur rem redi
furam ad totidem proqusiones, quod sunt radicum determinandarum modi sclotet, nunc ponend
X( d pro Hyperbota, nunc X B a+ b pro circulo et ita videndum quae fignea  construant omnes
aequationes, ub i X p, a + b+C. et it revocatur Hyperbola ad Curvam parabolicam circulus ad Circularem
ita non videtero dubitandum et caaeteras ad quasdam ts certa ratione redituras. Quod si nem inventa
eti infigura portionum progressio, seu socutio problematis: datam figurae portionem aequaliber dividere
unc in certum partium numerum, similesque +, vel etram bisecare vel ei polygonum regulare iucumscribere
vel spatium scutare ad scribere, quod sit regulare, aliaque ad genus; tunc superest ut videamus am
non certa ratione duae diversae portiones inter e diversis cocis inter jungi possint ut fiat
progressio aliqua cujus haberi possit summa. su quae sit saltem non transcendens. Notabule eri
Tit saltem non transcendim, sed non sufficiens, quia tunc reducetur totius inventio rursus ad al berius progesio
nis summationem. videndum quomodo dea methodus in polygonorum regulamum et spatioum
scalarium regularium in Ellipsi et Hyperbola ad alias produti possit luivas; tonda tentanda res in
illis figuris quarum habetuur sectio et dimensio facilius artificium naturae intelligatur. Nimin
condenda theorematu quatia quibus cunarum anguli est similia intervedant eA opus et quaeri mari
fa
Triangula inscripta portionum; vel alia i genus. crtvandem veniatur ad aliquid astans
methodus si succedit ostendit vel exhibet quadraturam e  quadraturae generalis impossibitalitem, et
E supericna
aequationem saltem transcendentim exhibet quadrabricis, prior non exhibe quadratur si snccedit
ex hibet quadraturam; nunquam vero probat eou impossibilitatem quadraturae generalis. Habet
tamen hoc praepriore altera, ut enumorari possint omnes modi possibiles; quibus scilicet inveniri possint
eandem habentia rationem triampila vel paralledograruma ut si non sucledat, certum sit non posse
aba assumi vello modoinveni Triamea vel para lelogramme constandem rationem habentia