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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 222, page id 1815201908:0279
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=279
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 48 lines, status machine
# Lines: 48 recognised, mean confidence 0.77
# 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.

    pro p 1p r 11 12.
35. 1
LH CPROLR GOMEN AAC
209029., 215511 2 13B
3t 0reliter ~1OFC
0ae C
ecrscrtorie ta
DB aequale est. Erzo quactacum C. B maius est
quadraco FB, adcoque reca C B maior quam
E B. vndemaxima BC estcarum que in luperti.
tam vero BD perpenolcularis e eoni verei-
S. FI
e1
cic Coni assignari postimes AB vero minima.
Ouod demonstrari oporeie.  e Leslac
ce demicta eactae in perimeerum circlli AFC
CuBic Guacatum BF a aequarur quadra–
Vndq BF, linca maior eA recta A B: clarum est
dico iterum AB lineam esse minimam, de BC
aximam illaeum quae in luperhcie coni existune.
Ducacur enim guaeuis BF, iungaturque AF,
eis AF, AB, adcoque mais cA quadraTO AB
insuper BC rectam omnium ese maximam, nam
quadrarum BC X qualEquAUTaLIS C A, A B m2-
ius est quadraro BF xequali quadraris, F, A AB.
3111
sit 11231
Religuus casus est in quo daco scaleno cono AB C, linea A D domisa perpen-
dicularicer ad planum B F C productum, exrra ipsum conum signac punctum D.
quo colu dico rurlum AB minimam esse, RC vero maximam. Ducacur enim
quaecunque recta, AC; b BD minor est DC, igitur quadeacum AC xquale
quadraris CD, D A maius es quadrato AB. ergo AB minor cA quam A C, du-
cacur iam queuis AFI; C Demaior est quam FT D; ergo quadracum C A, x quale qua-
deaeis CD, D A, majus cA quadraco HI A; aequali quadracis HID, D A. crgD
C A maior HIA.
In conoisicur (caleno ecc. quod fuir demonstrandum.
PR OPOSITIO. II.
Ececur conus scalenus (a cuius verrice linea ad basim perpendiculo
demilta extrabalim non cadic) per cenerum de verricem, sectionc ex-
hibencecriangulum, ad cuius balim demirracur normalicer recta à verci-
CC Coni.
edataebc Cdli
1
58 Iatg.
FD. tersis
et crceretito p Et il 1E
Demont
oi qu pe su s  ue  p ti ete u  ta u  e  etu e      te  t  e     pi  1     p   uli