# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/826603459:0362
# Permalink to this reading: https://leibnizlegible.com/page/826603459:0362?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 316, page id 826603459:0362
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=826603459&page=362
# Source image: https://digitale-sammlungen.gwlb.de/content/826603459/jpgs/default/00000362.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 42 lines, status machine
# Lines: 42 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.

Elemenei quinti Enclidis declaratio.
tracti, hreetiam Curdi) Cunt rationum eoridem aliarum ad ex
Politam quaneicarem indices sIVC exPOnenTCS.
Cur aueem Lhneis pocius quam numeris rationum doctri
nam cracere maluerine veteres; causa fuit non una. Partim
scilicet, quod illi, rix aliosnumeros quam Incegros admile-
rinez (nec enim mareriam Arichneticam Beur Geomerricam,
in intinicum dlivisibilem admilerune, sed in unieare sistendum
rolueres) adeoque non paricer numeris acque Lineis raciones
omnes denocari posse perspexerine; Pe propterca doctrina
alioqui univertatis, Exccimen Caltem in lineis cradere
maluerune, camque prouc opus Fuerie, inde in aliam quamris
materiam racionum capacem pro renata cransterre. Maxime
aucem ecimihi soltem videtur, quia non modo mechodus
Sembolicanondum obtinuerar, led ne quidem Apurx numera.
ria, quae jam passim osicaca lune, ab Indis invencae, Fuerune in-
croductae; ut non nili difficulcer admodum numerorum praxin
exercere valuerine. Licec revera, ipla sire linearum, Eive plana-
rum, vel eciam Colidarum, aliarumre quanticatum, liceris al.
phabecicis designario, (Puca A, B, Bc. quibus designantur in
cextu anouli linexre ecc. in Schemace conspecta,) Cymbolica
delionacio non minus dici poterie quam ubi similibus Cym.
liolis gnantieares (non cam in charca conspectae, quam)
MENEC COnCeDEA indicaNEUE.
Crue Fuerie; nihil impedic quin nos, uc reliquam Racionum
docrinam, ita (peciatim corum illud quod Plemeneo quineo
de ralionibus cradirur, Rrichmetice (adeoque simpliciter d
Elniverlaliter) cradamus, quod uc opus fueric (lienc &t Arich
metica univerla) cuiris suticcto pocerit applicari.
Detiniciones autem quas illic praemissas habemus, hie libet
incactas crantire; quoviam illae, partim superius, C ap. XXV,
ZISI, ZXX, explicancur, parcim etiam cum ipla propolicio.
num cradicione, ubi opus fuerie, obiter exponentur.
la Salcemmonendum erit de detinicione 52, TIrejuXta C la
vium 62, Gux eE maenimdinum, sire quancicacum, in eadem raise
ne consticuearum: ouam Euclideshis verbis effere, er ns aure
Ror M EDA nCC
FD 9 EopCo TOV ao C3 5. S d7E C9V, H Telrov  egs Xras
ToV: 8 raV rd. 53 copxCor B X) X 12∞ 1odn 15 noda Co naore,   1 Sd  H
ZLTaSTV 1OVIS NOIAnNaSICOV, HAD OTOIOVEY HOHANNASSUBV, ENA
CV Euaroeu, n aicu Emcicon, n auo ionn, n ec rp e XH NP DEvr
Rar