# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/1815201908:1195
# Permalink to this reading: https://leibnizlegible.com/page/1815201908:1195?run=74
# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 1138, page id 1815201908:1195
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=1195
# Source image: https://digitale-sammlungen.gwlb.de/content/1815201908/jpgs/default/00001195.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 27 lines, status machine
# Lines: 27 recognised, mean confidence 0.86
# 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.

2738
Duoderac demonstrandum.
QVADRAEVRA CIRCVEI
proporcone quan aberac ou L3 ad Laco oru 2 e 21
Corcturiam.
acu posicis quae in provosicione, per 58. libri prosrestionum eric quoque propor-
rione rationis lolidorum P’u le au actoe o L. a 1V.
Cciorationis Colidorum A e D, adracionem Colidorum C _ I. eadem cum propor-
PR O POSITIO LVIII
in rectanoula libi polica lubalterne B, Y, d, X, _ T, V, X, Y, produCAnECOM-
rectas Pu, Lo, quxe diameeros  B, c d proportionaliter secene in F _ F.
Dicorarionem Colidi AB ad solidum Ci Y eandem esse cumrarionelo.
lidieo adracionem Colidi Lr.
Idem positis que 50. huius rectangula A, C, D, E. irem G, FL, I, K, ducta
B.Z, producanc lolida L. , Mt, 187,  de Solida Po, Dn, RB, 52
Demde altumantur quaruor lolida qua cue esep. or. Tolida AB,
GT, Po, L_ BaC Camen legCVEBIHA H_ L u: G TX Po, Consistant circa
da AB, C Y, O d, EA, e Colida OT, HIV, IX, IE Y. Similiter rectangula L, M,
N, O, itemP, 9, R, S ducta in rectangula libi Cubalcerne poliTap, v, E, 5, _ 0n,
emonstratio.
FOlidum es inBestidem Cmenoe . aGuaesem ex ocena
miles per omnia lune tigurae amba Cola nimirum subalcerna policione differen-
ces, sed solidi ex A in P, balis eA rectangulum quod rectis DF, aZ CONFIHCTT. FrgO
idem rectangulum De, a2. criam basis est solidi AB. Fodem modo ostendam solidi
GT balim esle rectansulum rectis ib F, de p A contentum, solidi vero Po balim ese
rectangulum sub Fioe a F: Colidi denique L ubasim cNc rectangulum liit B X _ Z. 8.
15. buius. lam vero quiarectangula DEn i Fv a sineaequalia, exic p P ad V F, vE Fvad F. N h0C