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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 762, page id 1815201908:0819
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 44 lines, status machine
# Lines: 44 recognised, mean confidence 0.87
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762
1+2. D
arabol
YCTYS P
Demonstratio.
rederii (Voniam F. B, F. A contingentes aquales sunE, recta quoque, AG, G+N _qua-
adquadracum E B; eroo de rectanguta R LL Hne ad rectangula FYC:MI, vequadra
cum F B ad quadrarum P B; igitur IR duct_M I SL Ad FTC ductum in CMI. eam
habecrarionem quam FB qua dracun ae guau B Vecollisieur ex discurla
C 300. 116.
do parabu
e ipsis BC aqualc
IN DF.
687. DC
arabola
Llessunt; tectansula isitur PTOM aequalia quadraris G N _E KTL b rectangul:
equalia quadraris TNT, sed quaMaa L_ IunE ad quadraca GIN ve quadracum E B
NEuT D CF. diamerer aurem quadraci sIC BP.
occurrens DHI lincis in G. Conllal, AC. FI, BFH cSc parabolas.
Dico planum D C ducum in DF, aequari solido orro ex ductis DC
propolicionis 45. huius. Quod tuic demonstrandum.
PROPOSITTO EXXXIII
IVper ABC semicirculi diaMeHO AB, quadratum ALaEUIaLFD FL, po-
DCicilgue ad AB orchogonis DCFI, hanc AC lincis aquales DCF,
Demonstratio.
(YF AC ad AB, id est DE DE ad DXI.
AcCD ad BC, id est CD ad DF
de permurando ve DF. ad D C, sicDH ad
DF; Sed est ve D H ad DF, sier DF ad
D Cii ISITUE D E ad DC, vE D Fad DC
unde rectanoulum supeF D CDF aquale
est rectangulo super D CD K; Cimiliceere.
ligua omnia rectangula DCDF; aequan-
cur retiquis omnibus rectangulis D (i, DF.
cn6. hmim. ergocum alcicudo AB Ec Conunis, erie D C ductum in c D F aequale D C ducto
in DF. Ouod tuic demonstrandum.
LKOEOdELIO LaaAII.
Abcri BC. LL parabola Subae police communem aReM AL
LLaequalem lacorirecto: ductisque ordinarim AG, F L, describacur li-
Per AP vediametro circulus MI N qui per 126. parab. cocus inera parabo.
tas cadee, innGAMETGUS PUHCFA AF, L G.
Dicocorpus orum ex ductu BKC in C. D xquari corpori orto ex duccu
MC in NF.
demon-