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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 590, page id 1815201908:0647
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=647
# Source image: https://digitale-sammlungen.gwlb.de/content/1815201908/jpgs/default/00000647.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 34 lines, status machine
# Lines: 34 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.

a113. btir5.
HYPER BOL A.
onstructio e consraio.
acum scleomenta ABC, e pun-
cum Di oporccal et lectam du.
CCIC, Guleomencunt autbiac dato aequa.
le. IUngAnEUE AD, _ C. F. ponatur aqui
distanS AD; IUngaNEUTGUe DF: PacCC
legmencum DsiL. lacistacele pecloni.
Corollarium.
Inc Facile erie colligere, quà praxi
Conuate quis pouc in intinirum,
aequalia segmenta conuexa, à quovis daco puncto, in hyperbolx perimetro. Sit
enim darum punctum A, ec segmentum AB, cui aequalia scemenca exhiberi de
beanE. Ponacur C AD concingens hyperbolam in A, de B P xquidictans AD,
eric P A scomencum aequaleb seomenco AB; cum rectae AF, ponatur aequidi-
Aans B F i_nOAnEUTque F F, eric detuo F F leomencum (CgmencO C AB, hoc
eAt AF xequalc. eodem modo ponendo BC Parallelam AF, erie legmentum
EC, aequale AB vel AF, vel E P. Sic de reliquis in infinicum.
PR OPOSITIO CXV
Omugatarum sectionum ABC, D EF; diamerri coniusatx sIne
1OL GE, ad quus ea alumpeo in OHI alimproco, punctoFI, Or
dinarim pohantut HIH, HIF, auFCTeNECS SEgIENTA ABC, DFF.
Dicoilla esse incer lexqualia.
constrario.
Tnex CB, DE bilariam leceneurin K d L vec diameteos DK, BL, iun-
AnCUEQUE BMC, DEC. SALL. Dt, ordmacim ad coningacas
diameeros poliex, asymproco in eodem occurrune puncto FT, aequalia Tune d crian-
la BFC, LLD. quia vero BC, DF Bilariam lccantur in L a R, duca K
ell lune concudaca. a at: Li lalcce aglaluau alfcipidi
L
copoccoaceriguur in M ee A dinila lunc diamerri CR, C. L: vnde iunetis
Mmums. C C, C D, cum crianula CBC, C F. D incex le x qualia linc, extansula quoque
BMC.