# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/826603459:0552
# Permalink to this reading: https://leibnizlegible.com/page/826603459:0552?run=74
# 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 56, page id 826603459:0552
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=826603459&page=552
# Source image: https://digitale-sammlungen.gwlb.de/content/826603459/jpgs/default/00000552.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 36 lines, status machine
# Lines: 36 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.
# 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.

Adversus MV. Meibomii
mittum illud ubirario vini ad aquam est 2, Forcius esse quam
miltum illud in quo viniad aquam ratio est. E. (Ere hoc illo
debilius esse,) in ratione sesguialcera. Hoc ett, rationem vine
ad aquam (quippe, ex hac, aestimenda est Forcieudo misti) 
majorestratione Z, (non aic, racione, sire per rationem, qua-
lihac esset differentia, Sed) in ratione sesquialtera; Hoc cA, ip
ratione 3 2d2; sire nE 3 ad. 2. C quippe, esse ad alcerum inra-
tione lelquialcera, cH, elsc ur, 3 442.) Ouid hoc aliud ett,
quam rationem (pura vini ad aquam) =, sive 5 elec ad ra-
tionem =; uc 3 ad 2, sirc ur 6 ad 4 Ouod rule Gregorius.
Sic P. 113. L. P2. mistum 6 a 3 in sesquialiera ratione foriius est
misto 9 2 Hoc est, vini ad aquam ratio. E, eAt ad rationem
E inratione 3ad2, Sire8. 5 (: : 3. 3:: 6. 4) :: 3. 2. Trem
+
P. 123. I. 26. Forsius est mistum 36 a2 quam mistum 36 a. in
arione quater sesquialtera, 22 = 2X 3 + Z x Z. Hoc eAt, Forcitudo
Ilius misti, sive rario vini ad aquam in illomisto, E5, est ad
rationem in hoc, 3E in racione 3Z; Bve ut 81 ad 16. adeoque
ratio 23. raC. 35:: 8C. 16. Commino prout rult Gregorius.
CEchmilicer alibi, uc, Eopus sc, ostendi poceric.) Non est
icaque, curhoc cam acricer condemnet Mcibomius, cum de
iple (R eximen (IE) eodem ceneatur crimine.
Ouod in concrarium, hujusce loquendi Formulee, adducir
Meibomius, plane nihili eRt. Nempe p. 189. I. T. non esse. ut
E ad E, ita E ad Z, quia non quemadmodum rationis = dupla est ra
rio =, sic rationis = dupla exsistii ratio Z. Si, per rationem duplams
intelligie nozor smd (tor, live x 2; dicimus, omnino ica esse;
ve illic, sichic; nam _ = + 2 - 33 _ = X2 --E. Sin, perra
rionem duplam, incellisie duplicatam, nozor Scanaestova, EIve POce-
Racem secundam: Wegamus conlequentiam; quippe, quianon
hc utrobique noz Sirna (icor, ergo non ucrobique eadem
ratio sinnassos, nullo modo Eeguitur. Perinde enim cA ac
argueret, non esse, ur 2 ad 4, sic 3 ad 6, quia non, quemad
modum 4 elt quadratum 2, ita _ 6 quadratum 3. Sire, non
este 2. 4:: 3. 6. hoc cH a = 23 quia non eAt 3 + 3, 6, 1-