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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 340, page id 826603459:0386
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 49 lines, status machine
# Lines: 49 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.
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# After the first blank line: the recognised lines in reading order, one per line.

C
De Rexala AurBa,
CAP. 3
Vel, uecyronibus Ec magis adhue perspicuum, cum siB
A. B:: a. B. hoc ett (per del. proportionalium, lire, ejula
dem rationis)
B =
Si aequalia aequaliter multiplicem.
cur, prodibunr aequalia. Adeoq. E cum B, cum β, ducanEUR
B a
EnB; Recsillic B XB = A; hic, B XB = B: ad eoque
A =
d
B: Icerumque, dueris verilque in B; Rec, illic A X B =
3a
AB; hiC, B XB. = B ∞: adeoque AB = Ba. (HOC eA; P.K
quatuor proporcionalibus, factum ab excremis aequatur tacto
amediis: quod de superius aliquocies demonstrarimus.) De.
nique, Axequalia equalirer aividAnEUE, Orta erune aequalia.
adeoque sirum aB, cum Ba, diridatur pex a; eries illic
et
B d
A) AB(B; hic, A) Ba C A adeoque B = A quod c.
rat demonstrandum.
Pex tranc Reculam Colri Colene huj (mo di Problemata.
Si 3 pondo mercium constant 5 solidos, quor solidos constabunt earun-
dem mercium pondo 15. Ouoniam in guectione lupponitur; mers
ces esle aeque charas; erie, ut merx ad mercem, lic precium ad
precium; Adeoque ut 3, numerus mercium emptarum; ad 153
numerum emendarum : ica 5 numerus precii daci; ad numen
rum precti quaelici.
Pondo. Pondos: Tol. c Tolo.
Nempe 3.. 15 : 5 2.
Vel, quia jam de numeris ubique asitur; eric, alcernando,
uc merx, ad precium; Cc merx, ad precium. Nempe
Dondo. Tol. Dondo
3
5 55
15
Tol.
Solvicur: aucem, juxca praesentem regulam, ducendo termi-
num sEcUndUM i cerEIUM, (Eire, quod porinde est, cercium im
Sccundum,) undetIE 5.X25 = 75:
ee diridendo per primum, 3)
95 (25 = 9. FivC 23 = 25
e. Adeoqprecium quae litum c,
25 Colidorum.
Faesempta.
25 =