# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/1815201908:0780
# Permalink to this reading: https://leibnizlegible.com/page/1815201908:0780?run=74
# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 723, page id 1815201908:0780
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=780
# Source image: https://digitale-sammlungen.gwlb.de/content/1815201908/jpgs/default/00000780.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 36 lines, status machine
# Lines: 36 recognised, mean confidence 0.83
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
# Licence: CC BY 4.0, Leibniz Legible. Machine output: do not ingest it as verified text; keep this provenance with the text.
# Wording rule: say "the machine reads it as …", never "Leibniz wrote".
# After the first blank line: the recognised lines in reading order, one per line.

N PL A N V Nt
Schollon.
enim AI pars ecu aequalis parT ME; ita VE PP. sit parallela L L diametro
icitur AT auoum in LB, aequale est A I. ductoin IK bis, es simul A L, ducto in se semeli
verum AI, ductum in LZ bis, aequale est corpori orro ex ductu  P, in PR, ex ex YN
hoc est M P ducto in TR. quae quoniam sunt aqualiainter se erunt aequalia x similia soltab
quod sit ex AI, plano ducro in IK bis. Teitur superest AI, duerum in se, quod repraesentatur
per OR hoc est M P, hoc est A I, ducto in R S, hoc est R, inse; patet icieur. Oe
OS, esse cylindricas supersicies, es ipsam OO esse ellipricam lineam; vr ostendimus propost
tione 16. huius libri.
aquam in D sccet cansens DB, Parallela diametro AC.
Dico FF. ductum in F. C luperticies producere exlindricas, quarum
communis incerlectio estelliprica.
Lere
Demonstratio.
DEanUm F F ducuM in F G, XqualC CA P F
ducto in FFI, d F F ducto in FTO. sed
eam EF D ductum in KFI, quatm P F du-
ctum in FIC siveF FT, supertcies producie
Cylindricasi igicur ec F. F ductum in F. C, Tu-
perhciesproducir crlindricas, communem
vero incerlectionem figuram esse ellipricam
pacet ex Scholio prop. 22. huius, igieur, ec.
Duodtuic demonstrandum.
Teut semicirculus in se ductus producie ficuram M N, ica quoque A Y, parscirculi in se du-
Eta producit aliquam partem COrpOrIS MN, quam in ipso MN, hac praxi inveniemus. sit
eROPOSITIO
TIrcuram AB C cuius diantecet HC, COMMIMGATIM A linCa AB,
ii
DRopOsicio quoque vera est, si D A linca circulum nON COntinSAE, Sed tangenti
Corollari
aequidicter: demonstrario tere endem eAt cum priorio 11
(A1Gal I3 CEEDACII 12BEL CN M CEIO GI
 29121l 13
E R
At .        se n u