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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 711, page id 1815201908:0768
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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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Corouattum Pltnuni
Y A
Lin quacuor parres aquales dicta lunc:
excendere poteris ad qualuis lubdiviliories
in parces aequales: moco sinc numero pares
in veraquelinca, vbique enim ingenies fun-
damentum discursus in demonstracione ex-
plicaci. Imo ecram excendere poteris ad
ipsum criangutum V ZY, ducti in lc, ad
idem eriangulum ductum in se subcocrarie.
nam, ve parec ex praecedencibus, ex Tola ad-
dicione V Z Y in se lubconcrarie ducti tce
aequaliras cum VX Y ducti in Ic.
Corollarium secundum.
Pera precium riderur hic adiungere
mechodum reperiendi proporrionem
incer parces prramidis diuix per incerualla
rqualis alcicudinis. nam FC pars prramidis
vel coni, haberracionem ad parcem prra-
midis AGC, quam habet quaruordecim ad duo, sicur proposicione sexca huius do-
cuimus: ad cognoscendam aurem racionem parris GD ad FR, Sic procedatur. Cu-
macur excestus quo FC, excedic AG C, qui cst12. Deinde huic excesui adiiciacut
ipium FC, (ect aurem FC 14.) resulcabic numerus 26. candem denuo 12. addancur,
exsurgec. summa quasita scilicec 38. nam racio F C ad F R, cA vc 1a. 9438. Ouod A vI
cerius pergere desieras, iildem insiste vestisiis. Raxionem enim LF, ad HIB, cadem
praxireperies sumendo scilicet ve prius excesum quo F F supergt F C, qui cst 24. C ul
adiunsacur iplum F P. quod ostendimus elle 38. relulcabic summa 62. huic summx
addancur 12. X exlurger summa qua lica 7 4. nam racio FR, ad HIB, cA vc3B. 2d7 10
Hlanc praxim si concingo obscruaveris, poceris in immensum in indasanda racione
proeredi parcium pyxamidis aur coni, dummodo incerualsa eandem sorrianeur alcis
rudinem. eess: ceti e
1tooti
Corollarium vertium.
Inccciam manifectum; pyramidem auc conum quicali rarione Pectus est ve aleit
Lcudines continuo xequales sine incer Ce, non adinicrere racionem incommentura-
Bilicacis incer suas parres hoc modo sectas. cum enim per numeros concinuo reperia
cur carundem proxorrio, tirre semper parces eam incer se contineant rationem quani
numeriix aper quos producuntur, incer (e lorclunEur.
ROeOSITIO ViI
cciangula vel rectangula eria eandem habeant alticudinem et bales
Dicocorpus orcum ex ductu primi rectangulivel crianguli, in cerrium;
aequale esse illi, quod exturgir ex ductumedy in le.
v.
Vahic de divitione linex A C vet F C.
continue proportionales:
  stotet t t  tue  utut  et s  tstet  sattet este  st st tt