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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 871, page id 1815201908:0928
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 42 lines, status machine
# Lines: 42 recognised, mean confidence 0.90
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C F O H F FRIC A.
lincifuerint, sine curui, lide mixri, non alia rarione ad quantitarem (pe-
eteite quam sccundum lpactum quod continene, live illud planum fuerit,
Ciuctolidum, sccundum quod incer se non minus comparari postune qua
alia glauis superlicies cum superticie, auc corpus cum quauis lolida ma-
sniecune: angulusenim in recto (ve cum Philo Cophis loquar) non est
quanciras, sed quanricaln obliquo; (iuc aliquid est ad quancitatem per-
cinens. Vnde secundunthacuram luam excludi debet a veris speciobus
quanacis. Ouodltenim incer reras quanticatis spccies angulos admi-
leritus, incidemusinyrinchos, quibus Ccometrix principia se de-
Struaece M. Gud ve manifeltum hac, sequentis propolicionis de
monstrationem considerandam pono.
THEORF M A.
Oncingae AB, dues circulos se contingences in B, exhibentes an-
sgulOS CONTINSENEIK ABC D, ABFF.
Dico hosangulos esteinter (0 xquales.
Demonstratio.
quibus in infinicum parres demi postuneincer se
aquales. ed hocheri porest in angulis dictis. quod
Sicostedo. Diudacur lemicirculi perimecerBDHI
bifariam in D, de ducta BD occurrac circulo
BF C, in Piigicur angulus DBH aqualis est an-
salo F BC. eadem opcrario hac de arcu BCD:
bisccetur lcilicet in C, ee ponatur recta B Cr, ica-
que cciam angulus CBD, aequalis cAt angulo
F P P: Sed hoc ininhnicum heri porestiigitur quan-
cirasanguli HIB CD semiperimeeri cum diame.
ero aqualis est quancicari anguli G B F. F semipe-
rimetri BFC, cum diameero B C. Ouare eriam
relidui anguli concinsencix qui complenerectum
ansulum luncincet sc xequales.
tlinc consequicur doctrina qux plane destruie
Geometria principia, quod scilicec eorum sic parei
sux aequale. nam angulus C:B F F pars est anouli
Priuiquam mihilomthus concludam, memineris relim non trultra adaicam  p.
Cipio Polio Paletea n eadem specie quancitatis; linex erenim cum superticiebus
aur ColidisneC COmparanCUE, nec compacaripolunE a Gcometrai vrnec superticies
EH enim sunc dicendx aequales quaneeates, a
HIBCD. Pluribus reca nunc prolequi abstinco,
quodinstiruro nostro parum conveniat.
cum vila Colida magnicudine.
 e e  s  e t et peste e et ta se t plet te ta pette et te a etet Ate ele ti s   sit e te  estt  t ue e   te e a a s te s  e et  t e et   u  pi s e tt ut ate l