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# Page: https://leibnizlegible.com/page/1815201908:0677
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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 620, page id 1815201908:0677
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=677
# Source image: https://digitale-sammlungen.gwlb.de/content/1815201908/jpgs/default/00000677.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 50 lines, status machine
# Lines: 50 recognised, mean confidence 0.84
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
# Licence: CC BY 4.0, Leibniz Legible. Machine output: do not ingest it as verified text; keep this provenance with the text.
# Wording rule: say "the machine reads it as …", never "Leibniz wrote".
# After the first blank line: the recognised lines in reading order, one per line.

620
L2 LCd Sl L L 12
Varia proponit ac soluit problemata, ( c.
eRO POSITIO CLXZIV
Acarum hypetbolatum convexatum exhibere rarionem.
Constructio es demonstratio.
TINE ABC, DDF alymprorihuperbo.
larUM CONVEKarHI N X G, OFI: po.
acisque axibus BC, F I, agantur pet
C et Y contingentes GT, MI: dico
NX Ci Eyperbolam este ad hyperbolam
OTI, VE LOB criangutum ad crian-
sulum MTF. hac enim ve BC adC TI
sIC F T ad TK, _ peF TI _ R, ordina-
eim ponancur lincae ANFT, DOK, iun:
Sancurque NCsOT, BN, F. O. Ouoniam
CA ve BC ad GTI ; hC F I ad TK; qua-
dracum LC (id esta rectangulum AN C. 
est ad quadrarum AII ve MI quadracum
(id est rectangulum DOF) ad quadratum
DK: _E PerMIUTandO VE A DY C rectangu.
lum ad rectansulum DOF, SiC quadratum
ATTad quadracum DK: religuum igitur
quadrarum NHI eltad quadrarum OR, VE
ANC rectangulu ad rectangulum DOF.
id eAt quadracum L C, ad quadratum
MI. quare NTIlinca, eAt ad L C li-
RCAM, VEOK ad MIT. CC AUECM VE
BO ad OFI, SiCF. I ad TK, crian-
sulum isicurIOR eA ad F. IMI, crian-
gulum, ve ONEI ad BGL: dE vE
F INBaa BCL, ACTOR adGNII:
led eriam ve R Lad TK, lC FOI
eriansulum ad criangulum IOK, et
ve BOadGFI, lic BNC: ad CF NII
igIEUT SE FO Tad FO K, criangulum
eA, VE BNC ad ON TE REVE TOK
ad GNTFH AO FOTad BVT C: qua
re _ F,OI adt BNG CA, VE VHI
in duplicacaratione I l, ad LL; Vei L. C ad AN, in duplicara racione LC, ad
celiqua et a  l. bE HA dd L. Co: 1BCuF _ LL ad M I, ve cX ad L C5, eb
MB
ad BL C. vlcerius, BisCCENEUE OF, N G, in O et S, pohrisque ordinatum SR.
DP, dUCaNEUE F TS, BXO; _ TdX ordinatiim ad axes B C F L; pONRHEUE
intuper ZO, a T, a Licem VN, a X, B C ae quidistanres asympeocis B C, P F: erun
Bicur cam NV, nX, BC, quam a L, coT, bL concinuxe proportionales; unde ee
N A, ZF, CL icem DOT Y. MI quoque in concinua lunc analogia; de MI Fad DO,
EZ: quIA verO DR CA ad MEL, VE AFI ad I CF, _ OK ad MT, VE NFI ad LO,
ha
   e    e  o    e  ee o t  ta   so