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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 243, page id 1815201908:0300
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=300
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 41 lines, status machine
# Lines: 41 recognised, mean confidence 0.90
# 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.

li
BHI
qu
F L. L TF St3.
Requeica quinem lacus rectum cum Apollonius, tum
Execeri illum hactenus securi expoluere. Verim mihi mi-
nime videcur neceslarium ve larus rectiin diamerro ad
rectos applicetur angiilos: d quadracorum ac rectan
sulorum loco possune Rhombi ac Rhomboides incer (e
comparari. icaque ad vecerem laceris recti acceptio
nem, nouam aliam adliicio ciusinodi. ad cMtipleos diame.
erum iinc ordinacim posex quoruisrecta CtHI: et quae
dam BF lacus rectum; aequidistans ponacur ordinacim
applicaris: singuli ordinarim policarum Rhombi IIC
in ansulis IFIB aequales crune singulis IFIB Rliani-
boidibus inijsdem angulis, qui deficiunc a Rhomboidi.
bus FBHI per Rhomboides Similes Rhomboidi FiBD;
Demonstracionem huius vide propol. r2. huius libei.
Porro latus rectu eo ab auriguis consilio invencum est.
ve cerrialiguid e noci haberene; per quod reliquas le-
ctionum propriecates incelligere ac nocas sibi redderé
Facilius postene: e ve in singulis cons sectionibus illa
plane diuerix sunc, ica de lacera recta diuerlas in singulis obeinene pastiones; de ré
etangula laceribus reecis ac diamerrorum parcibus incer verricem carundem de pun-
eta quibus ab ordinacim policis secaneur incercepeis concenea lonse diverlam in Cn-
sulis, ad quacrara ordinarim policarum habent proporcionem; in ellipe quidem qua-
deaca illa deficiine figura simili illi quxe lacere rectO _ cranUICTIO CONEIHCLUE L re
ccangulis praediecis; in parabolaii (dem aequaneuri in lyperbola veto excedune A-
sura similiilli, _c. Vnde e nomenclacuram singulx suam lorricx (unc.
Exrerum ver porentia ordinacim policarum ad diversas diamerros; diverix quo-
que sunc, ica de diameeris singulis. proprium de rnicum lacus recrum astignacur: quX
omnia, vei ec lacerisrecci invencionem, luis locis demonstraea invenies:
Figura estrectarigulum quod larere recto e cransuerlo (id est diaime:
ero, nam illa quoque trantuerla vocari Colet) conrinetur.
Apollonius) in quibusaxis divilus rectansulum exhibe lub scomentis
contencum xquale quarrx parri fisurx: de quo luo locongendum.
Poliseii toci ellipseos, purieta Tune (qux ex compararione facta votat
decuo abeotacla en ualiuo cocuo pratio Der atclulecu claa-
lum producenres alio rursum secarur plano; quod abscindat fcriangulo
producto) criangulum limile quidem, sed icapolicum ve ansuli qui ird
vero querriansulo lune a quales ad diverla sinclateri: D .I) CsI