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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 576, page id 1815201908:0633
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 53 lines, status machine
# Lines: 53 recognised, mean confidence 0.79
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1HIII
277. huius.
7
HIX P F R BOL A
CC
etiam lune proportionales (C
FK, CD: isiruE Facio DC 2d
T. C, duplicaca est rationis F. K 2d
MIN, hoc est MN ad FI. Sed F2
eio LC ad FIC duplicaca Crac EA
tionis NIN ad FT, igituE FALODC
ad L C, eadem est cum rarione
TC ad FTB. GuOCITCA DC, LC
TTC, C
C linex sunc in concinua
proporrione. Ouod tuic demon-
srandum.
PROPOSTTIO LXXZVII.
IIdempolcis:
2d AM cAt duplicaca.
L Dicorationem AD ad AE, esse criplicacam eius, cajus rario A L
demonstratio.
LEF CD, HIK aequidistantes CM Genei P. C, ve sinc in conciniia ana-
Demonstratio.
DROductR FR, CD SCCCNE alym:
peocon AB in L _ B. Ouoniam
F C contingie sectionem, d rectae
F. C aequidistac FTR, guadraEO O P,
aquaTuE HIIL, hoc dCA TTTR cC.
ctansulum. vnde luntin concinua pro.
POrtIONORIB F C, IFT: SCd VEFC
2d IFT, ica ponitur eseTTI ad F C, Cr.
equacur rectansulum c F. C D. manifectum cA omnes quinque camdem racionen
Bes huius. D AEio AD ad AF, eA eriplicara B rationis A E adt AF. sedrario AL. C 2d
CBt. uint. L Z. M elt duxliencaral  ad AF, igicur pacce vericas pcoposirionis.
dEX CorBII.
5.bciuo.
PR O POSITIO LXXXVIII.
logiaFC, IHI F C
NECFAlyMPEOTOS AB, AC posita SichypetbOla DF F. deinde ponan-
Dico limiliter FC, IFI, F. C, HHI, D C eandem concinuare rationem
Cbid.
continuar e quoderat denu.
SOKFI, F FI, TFI FC sune in continua analogia. _ quia similicex quadrato BC
LOPOSILIOLLLaTA.
  aspioiont aguacanes.
Dicorectans DC. C L HL incerse sse xequasi3.
(d 2d Cd
X A cenero hyperbola, ducta sit qualis ABC, quam intersecent
15SI:
ioinoqorq niesu
12 314 CB  AIFI) 133 1B5 1d 4 s 
 t t. 1. . 11    .  e    es   t et    s    e