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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 1014, page id 1815201908:1071
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=1071
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 30 lines, status machine
# Lines: 30 recognised, mean confidence 0.88
# 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.

2014
Y N GV L A CYLLNDR LC A
69. ton ius
cum lpleum IC. NO ad conum IO N, rarionem habet compolicam ex rarioni-
BuS FTO AdRO, _ TIF ad TIK. Sed criam octendi supra seomentum ongulare
F GL. TO ad prramidem R L TO rationem habere compositâ ex rarionibus FTO.
2d RO, _ HIF ad HIK. ergo Scomentum F. GT IO eAt ad prramidem RL. IO.
veleemencum IENO adconum PON. Ergo componendo segmentum F C, L IK
est ad prramidem RL IO, ve seomentum F. INK cA ad conum IOR. Podem
plane dilcurlu, si sub Ainem loco compolicionis adhibeacur atuisio, octendam prea-
midem KI IO eAc ad scgmencum rngulare KCII HI, reconus ION est ad leome-
cum sphericum IFIN. Igitur ex aegualicace Ccomencum vngulare FOLIK est ad
segmencum ongulare KTP IT, ve legmencum sphaericum LF. N est ad spharicum
sermencum IFINI. Quod erat demonttrandum.
Dico insuiper seomenturngulare F. G: P. TO esse ad segmenrum ongularoOTL FI.
relphaericum scgmencum IP. MO, est ad sesmencum sphaericum IONEI.
Demonstraiio.
DY camides, quarum bales suncrectangula FTPK, P H K: communis aurem alci
cudoradius OF, hoc est. Seomenea vnoularia RCFF TO, OTLFI, Pune incer (0
verectangula HIFK, F FIK, hOC CA, VE FR ad RFI. Aequi eriam coni quorum
Arch. 58. bases sune circuli radiis FI, HII de Scripei, communis vero alcicudo Pemidiameter
1. sharic. O F, hoc esb sermenta sphaerica PF MO, IONFT, Cunc inter se, ve quadraca F I.
FTT, hoc est ve rectangula FIER, EFTK, hoc eAVE F R ad KHI. Ergolermenca
vrgularia F C LIO, OIE K candem incer se rationem liabene, quam legmenta
spherica IE MO, TONFI. Quod crac demonstrandum.
P ROPOSITIO LAAVIB
m inicet fsamues tusaa mpiao, aconos ios puata
non leuisiridem analosia intercedac, hanc quoque rribus lequenci
buopcopolicionibus explicabimus.
Data