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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 529, page id 1815201908:0586
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 84 lines, status machine
# Lines: 84 recognised, mean confidence 0.80
# 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.

DruI
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1182.
COD.
 qui.
et,
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P2.
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Sinebina hyperbolarum opposirio.
RESS VHA ABC, DVF, alcera GTTI:
XLM: X tuius diamecer SC eranIVCF-
sa BF, iIliuS EIL. _ BP quidem
histecet xqnidistances FIF.3 e illa bi-
Fariam dividac pacallelas BF, FIL dia-
mecet est recta, ad crantuertam B F ly-
perbolarum A BC, DF F, ec BF rC-
cta 2d cransuersa IIL hyperbolarum
GFTBKLM. ∞ quia pOlIEX sunE, ve
altera alcerius parallelas, intra sectio-
nespoheas bilecet, diamerri dicuneur
coniugacx. e lyperbole quarumerans.
verlae diameeri, alcera alcerius aequidi-
AanCeS BINCCAE, CONIUGREX VOCANEUT.
AEympeocos voco lincas quae in plano hypetoolae, ecentro eductae li
ctioni quidem magis ac masis accedune, nunquam camen occutum.
las in figura designane linea N5, 59, PS, SO: quarumimuchcionem et de-
monstracionem vide propol. 12. 8 16. huius: vnum hic nocar debec; alymprocoru ali-
quas, angulum ad centrum, Formare rectum, alias acucum, vel obculum, quarum sup-
policiones, rarias ac diuerlasinterun propriecares, veluis locis apparebie.
Facus rectum, est linea iuxta quam postune Bramam ad cameltu
applicaca, sive lacus rectum, men SuTa CCL IUXEA GUa COIPATAHEUEBO-
cenria linearum ordinatim ad diamerrum applicatarum.
Sit ABC hyperbolae diametex erant-
verta BD e ad illam ordinacim F A:
tranc aurem proportionales, BF, F A, FH
_x ex D per F recta dUICAEUIE DF, Oc.
currens BC linex parallela F F, in C7.
exic BC lacusrectum rei pEopoI. 32. huius
demonstrabimus.
Porro in hyperbola lacuS.HCCLM HaIC
sibi propriecarem postulac ve quadeata or-
dinacim applicacarum superenc rectangu-
la quae hune sub latere recto se parribus
diamerrorum verricem inter et punctum
quo ab ordinatim policis incerlecantur in-
se
cercepeis, figura simili ei quae tir lub lacere recto ee cransuerso: v. B. persciantur xec.
cangula BP, CF. quoniam isicur per hypoclicum; recta BI, L A, V P propoi
tionalessune, quadracum FA Xqua le est rectangulo B F, quod superat E rectati-
sulum, figura HK, que similis est illi qua sr sub BC ec BD in ansulo GBD: vei
Dropol. z2 huius ostendicue.
IIIud quoque hic obseruandum est quod alibi monui:non opas etteM Talus cec
hormalicer ad diamettum applicetur; sedordinacim applicatis posse aequidistare. Sc-
cundo cineulis diametris, diuetta cotuenite lacera rectas cum singularum pocenciae
Diver sae linC.
De eereste
typerbolas ae quales voco, quarum eriansula quae contirischribus et
astymproris conrinenntur, a qualia (unE.
crWlu2e L. X.
H sypetbola similes dicuneur quarum criangula quae concingentibus et
alymproris xquales ansuloshabencibus conrinentur, similia lune.
L X X
AI
AYD E R BO L A.
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