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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 73, page id 1815201908:0130
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=130
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 68 lines, status machine
# Lines: 68 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.

pro
en
adF
juin.
2d
nou
2C
ngu
1dB.
10
drum
dB
dC
XF2.
acio.
abi
atam
det
Dna
REUI
GIE D M E PR LCIAE.
Voniam veriulque Cerieisprimus cerminus idem en A s erzo x er pracedenrem 
est adC, in duplicicaratione F ad B: led Ci criam eltad C, in duplicaca racione
 2d P, isicur C est ad P, veF ad B: led ex Upponco E ad C est ve L ad M; igi
cur alcernando M est ad C, re T. ad F; elt igitur ex aquo M ad P, ve L 2d B.
Simili modo perpracedencem B ad D, criplicacum habecracionem, F ad B: Icd
etiam E ad D. habec criplicacam eius, quam hrabec El ad ls ergore L al B, I
FI ad R: deinde est F ad TI, ve L ad N, onde alcethando, _ ex aquo N ad R
DE L ad B. Eadem prorlusracione demonstrabitur esse O ad V, re clt L ad B. Du.
repacet vericas propolicionis.
HInC CEIRM PACCEB, P, R, V ese concinuas cum C, M, H, O, line contudun
quidemineadem analoxia in qua sine linex A, H, C, H. L. VEPae.
PR O P
Donancur dux Peries
continuarum; A, B,
C, D; d A, L, F, G, Com-
munem ihabonces pri-
nam R; d inter Iccun
des B, F, sinc quoruis.
media Id, BA, lesicoci
dem Gueincer cercinsin
TerponaneuT; M, N, O.
e; Sispiliterincer quar-
FaS D e Ca, POnaneuE
modia . R, d
Dico A, HI, M, i
irem A, L, N, R; _ A, K,
O Si de A, L, P F ettein
concinua analosia.
Demonstratio.
5IT1O Xi3
Demonstratio.
Onancur enim incet a d M, media proporcionalis Vo de inter a de N me.
dia X Similicer Y, L a medix ponantur inter A, O, de A, P, _ A, F.. Ouoniam
ereo A, B, C _ A, V. M Cuncconcinux proportionales, ericarario C adM, duplica. 227. huinoi
ca eius, quam habee B 2d V. bicerius cum A. V, HI, et R. X, HT eriam sinc concinua
proporrionales, cric racio b M ad H, duplicaca ejus quam habet V ad Z: eode ibid.
pactootendecurrationes N ad O, ee O ad P, et P ad F, esse duplicatis racionum
X ad Y, _ Y ad Z, _ Z ad a: O uare Cum C, MI, NI, O, P, F PONAREUF CNC COn-
cinux, eciam B, V, X, Y, Z, a Pacer ee concinuas. F. s igiur racio B ad a, guineu-
plicacaracionis B ad V, e quia tama, quam F, medix SUMEinEeF A _E F, intex se
aequales crunc; iéoque deratio B ad a sc rario B ad F. eadem est; ergo rario B ad
E quincuplicaca est rarionis B ad V. quiaaurem B, II, I, R. I. Ei ponuncur concinua,
etiam rario B ad F, eA quinmplicara rarionis B ad FI, cRigitur B ad V, veB ad
FI. vndexeguales lunr I _ V. Similicer oRendetur L _ Z, R ec Y, L et L equales
ese. Quare cum ex constructione R, V, MI; A Z NY; AXO; A, Z, P. Unc concinux;
eeiam R, FI, MI; A, L. N: A. R: Di A.L, P concinux crunc. Non alia ratione osten-
demus, eriam iplas A, H, M, O: irem A, B NV, R, eC. ese in concinuaea aialoxiai