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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 85, page id 826603459:0133
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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 0.89
# 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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De additione.
EA aucem addicio, Numerorum plurium in unam Summam collectio. Additio
Vel Addere, eH, Datis numeris quoilibet, unum aliquem illis omnibus qui e
simul sumpris aequalem invenire. Ruc etiam, Si latus libeat, quam
ad Tolos numeros, Addirionis appellarionem extenaere, erit
Addicio, Quancitarum plurium Hlomoeenearum in unum secrecarum
collectio. Nam rerera eadem omnino cA Addirionis nocio, Eve
in Concinua live in Dilereca quancitate.
Oud melius aurem in sequenribus procedamus, Cciendum cA. Axiomata,
in arictimetica, Perinde ac in Gcomeeria reliquilq; disciplinis sive commes
omnibus, Principia quae dam per se noca necessario concedenda nes nocasion
ese, unde alia probencur; quae tamen Principia calia Tuncuc ea ues.
nemo lana mentisnesare, auc quidem deiis (mmodo senlum
verborum incellisac) dubicare possic. Duiulmodi lunc Axio-
mara illa, (cu Communes noriones, quae Blemencis Fuclideis Drx-
miccumur; Ouorum plernq; non magis Gcomeerix quam A-
richmecicae conreniune; Negi ab Fuclide provonuntur qual
SolisMagnicudinibus congruant. Scd quae quibulvis ouantica-
cibus, prouc opus eric applicari poltinc. F80 ex illis ea Celi-
sam quae praelenci negorio conveniunt, luncqu hac quae le-
guunEuT.
1o
Duae eidem sunt aequalia, sunt ex inter se aequalia. TIC Ci Cam
linea A, quam linea C, sc x qualis linca B; e.
runc ipla A C linex aequalesincer lc. Acq; de
hocnemo merico dubitare porcst, Censu verbo-
rum Cemel intellecto: Cum enim, vi vocis, A-
qualia ca sinc quorum quanciras cR eadem, scu,
querum hoc cancentelem est acq; illud: sirgi quancicas cam li-
nex lquam iitea, ea quae eAt linea B; crie linearum A_ C
eadem quomicas, (ea nempeucriusqs quae est linex B,) ip (q)
iBicur xqualeo. Similicer in nuneris, ( 2 +3 - 5 = 4 Y
ccic 2Y 3 = 4 F L, hoc cA, htam agpreparum 2+ 3 quam
eeregacum
4 + I aequecur numeros, crunc ipla 28BrCβ,3Ca
2+5_ 4r L incer sc equalia; eorum
enim quancicas cseadem; ea nempeu-
criulq: quae etnumeri quinarii. A19
idem omnino obcinet in Superticicbuo,
Solidis, Angulis. Ponderibus, rebulo;
aliis omnibus qua quovis modo vel
Co AP. 13.
menlurancur vel nuVeranCUT.