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# Title: Qua Continentur, Oratio Inauguralis. Mathesis Universalis; sive, Arithmeticum opus Integrum, tum Numerosam Arithmeticam tum Speciosam complectens. Adversus Meibomii, de Proportionibus Dialogum, Tractatus Elencticus (shelfmarks Leibn. Marg. 84:1, Stück 1; Leibn. Marg. 84:1)
# Folio 18, page id 826603459:0464
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 43 lines, status machine
# Lines: 43 recognised, mean confidence 0.88
# 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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ade ba  a
cexac analy sis impossibilicalem, ledrem quasi possibilia csset (0l-
vic; e rice verla, videacur altguando analyss in à suvaror exi-
ce, quum incerim res expolicon bic plane imposibilis: AC ni-
idum aucumo.
Neaucem cgo cemere Mud Fassus videar, et cui Tufortan
havd aeim assentiendum ene pucareris; non abs reFore aueu,
mo, utuE raporhucacui, eorum ucrumque exlemplo indi-
CaTC.
Si supponatur Triangulum cujus duo crura sinE BC = 2,
D =C, _ batis BD L4, Detatur aucem, C1 a vertice C de
mitratur ad batin perpendicularis
C A, quod nam illa batis punctum de-
Boners Cire, quanca Fucura EE recta
B A. Analylis sic procedic. PAC B9.
BA9 = C AQ ICD9_ ADq in
CDa  O: BI  BA: L CD9
BD9 F 2BId aBA = BA9. Adeoque
CB9 = CDq = BD4F EBDXBA. HOC CA CB9 _ CD9+
BDq = ZBB = BA. Ideogne
HOc ett
8
CB9 = CDg+ BD4
2BD
 B A
=12 = 23 = BA. quod erat inguiren-
i
dum. Ouin calus aucem ille sir impossibilis, ecquis dubicer
quippe ponicur Balis urrisque smul cruribus major. Tentaca
eamen Analysis non lecus procedie quam scalus esser maximé
Possibilis.
Ad alteram concessionis parrem quod attinet; Nempe quod
Analys aliquando ad quid impossibile nos deducere videacur,
cum incerim casus expolicus minime sic impossibilis: Ouo hoc
rectius oltendam, opus exic de A quarionibus Cubicis relolven-
dis pauca praemietere; quae cum huic negocio, cum etiam inqui-
Sicioni nostrae primarix Cablerviant.
Aquariones omnes cubicas vel cales esse vel ad tales Talcem
reduci posse, quae non nisi sub Radice (ut loquuneur ) Eint at-
tectae, nocum est. (ouippe (i Cub quadrato sc affecta xequatio,
Bradum supremo proximum colli posse docuit Carressus, acque
ance illum Viera, Elarriotus, aliiq;) Polsune aurem il lX omnes
hil ego tale hoc in cara dice