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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 752, page id 1815201908:0809
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 23 lines, status machine
# Lines: 23 recognised, mean confidence 0.88
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OVCEVS PLANI
Dico tupersiciem HL. ductam in IK, corpus proterre aequale illi quod
oritur ex ductu luperticici C H in L. I.
Demonstraiio.
1. 53
d.20
GLP roctangulaxqualia sunt rectanselis BL, F, CruDE TTL K. G L Trectaneu.
laquoque incer (e xqualia. erso ve L. ad HIL, sCLK ad L. I, e dividendo C H
ad FIL. veK Iad IL. ergo C HITI. rectangula aqualia sune rectangulis A L RV
LS. BuluI. COrpUSiBIUE OrcUM ex YIL. ducto in IK, Xquale cHa corpOri OrEO ex GHI ducto
in L. I. Quodtuic demonstrandum.
eR OPOSITIO LXIV.
neduo circuli excentrici AC, DE, ductaqu F F minoris cireuli dia-
mecro, agancur per illius exerema contingentes AC, que producan
cur in B, ve A B C rectangulis aqualia sint rectarigula DBF.
Dico AD superticiem ductam in superticiem E. B xquale corpuspro.
terre illi, quod orirur ex AB ducto in F. C.
Demonstratio.
Veantur infniex e H L. TKsparallelX ad B.B R G F K. quoniam ram H L. K, qu2
oniam ABC, DBB redanguta aequalia sun, ex hypochesi A B est ad BD,
ve BF ad BC, _ diuidendo B A ad AD, ve BF ad F C. vnde rectat
ABF C aequalia quoque suncrectangulis AD B Ficrgo AD ductum in P. B, aqua
bid. LEBCA AB ducto in F. C. Quod fuir demonstrandum. Pqu