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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 528, page id 1815201908:0585
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=585
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 46 lines, status machine
# Lines: 46 recognised, mean confidence 0.87
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
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# After the first blank line: the recognised lines in reading order, one per line.

AI Z PE R B
N Y T
DN F3
Eperbolam voco eoni sectionem cuins planum lacera crianguli
peraxem sectione Fact a emetsentis ita intersecat, ve alreri illorum
ACHHO EXITACONUII OCCUETAT.
distanres bitariam dividic. Qua laut vero in hyperbola diaeter vocetur
fecta, qux crantuerla, ex appolito cognolces scemate.
IOnus ABC dinisus criangulo per axem
ABC, SecCcuricerum pIaNO D F F OCCUT.
reure verique lacerum erianguli per AXeM, CXxECZ
conum: laceri AB quidem in C, laceri vero
BC in D: recta D C diamecer dicicur eran(uer-
Cahyperbolae DR E: hyperbole rero coniura-
ex ipsD E F, recta vocatur de vicistim que con
inoaex cransuersa est, huius dicirur recta. de qui-
busin detin. 5. huius.
Concrum hyperbolx punctum est.
quod transuerlam diametrum bitariam
diuidit.
Si DG BILaTIAM SECCTE In FE. puticeum E
cenerum dicetur hyperbole F D F ex quo p2-
cer cenrrum hyperbolx esse exera seccionem
quod vero omnis linca per cenrrum ducta et
lixperbole gecyrrens, diamecer sic: (u0 locOP 2.
cebic.
Secciones oppoticaen Cune hyperbola, qua
rum omnes diametri cran suer(x comunes lunt.
SinE ABC, D FF sECFIORES OPPOHEK; ec ABC hy.
perbolae cenerum C, Ponancur per C linca quorcun-
que BF, D C, F R, occurrentes seccionibus in A, B,
C, D, L F: recex ille communes dicuntur diamerrise
crionum oppoticarum, eo quod Ciposris in lixperbola
AB C ordinarim ad diamerrum A C X quidistances
ponancur in lyperbola DF F, illae quoque ab cadem
diamerro bitariam seceneur, adco9; ad candem diamie.
trum ordinatim applicatx AHE:
Ouodvero diameeri oppoliris secrionibus inceroepta
in cencrobissecentur, Cuo locoparebir.
Sectiones coningatas appello duas hrperbo.
larum oppolitiones qua Mameeros crantuertas habene, quarum alceras
alterius recta est, de ricilm secta, alcerius est rran uer la: live lunchyper.
bola guta Conmgatas hab cH diametrOS.
Sine
Diameter hyperbolae eAt recta linea quae omnos rectas, cuidam equi-
    1 e es  e at st s te  s    t te   e s 1   te ste est u t  e e s te  et  e  te e s e  e te at et   e  e et te t   t   t .  1 1