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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 815, page id 1815201908:0872
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=872
# Source image: https://digitale-sammlungen.gwlb.de/content/1815201908/jpgs/default/00000872.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 35 lines, status machine
# Lines: 35 recognised, mean confidence 0.80
# 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.

ett
3
10
EA
ilippi1I
N PL A N V NI.
Vonsam enim recta AB in C e D divilae lu extrem a ac media rarione
Lproporcionali: e CB compolicx ex alcera exereitaum e media bitariam a dia.
aqualia quadracis C P. Ergoper propol.rniucllate  elchuius libri +5. planum
Plicautus cheorema piopblcum.
Bii
mecrolecaneur in F; cruneper 4. Prop. liber nostri de lineis, rectangula omnia D F. A
DE ductum in B A aequatur plano lemicirculi C F. ducto in (c. Ductibus ergo ap
Verum eadem opera Coau Popcons gua  eseet a
commoctale opere Precium crie.
Primo infertur BD C rectangulum rectangulo AD F a quaci, unde concludimus
planum BD ductum in DC. Placlum, Lolidum conttiruere quod lc 2quale Colpolt
producto ex AD superficie ducta inplanum D F
Secundo infertur BA C rectangulum rectangulo P. AD esse xquale, d conse-
quencer ex lege dulldum altetimus corpus exlurgets ex dueru plani B A in luperh.
ciem A C, Xquattolido quod relulcat ex musciplicatione plani E. A in planum AD.
LLddtEEC CtL===11.
Luma stn Gu ismtori.
DCA
lAB linea divisa Fuerie recunque in C e D.
Dico ACB, CDB AeclaB G  ACClatIBIS BD A,
lecundum sensum propolitionis c corpus oreum ex luperticic. 215. huins
bus AC, C. B Cimul cum illo quod hc ex ductu plani CD in DB, aqua-
Onatur exempli gracia circulus AD, queM FanSANE GLL, L F parallele
L incer se, inpunctis F C; _ iuncta F C ponarur FB HI guauislinca-
ducanturq; parallelae infnire AC. DB, per 55. libri de lineis omnia rectan-
sula ACB, C DB aequancur omnibus rectangulis BD A, DC A. ergO
tur Colidis duobus quae oriuntur ex planis BD in DA, S DC in C: A.
quarehane eriam propolicionem apcanimusnocro in licuco.
Mu u  e 1 u  s s . te  e e t  s A t  e s. a tet s  te  s Ae se  set i s e 1a   . es e e . 1es s e Ae   e  Ae  e  1 e 1  e e t    t  e