# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/826603459:0146 # Permalink to this reading: https://leibnizlegible.com/page/826603459:0146?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 98, page id 826603459:0146 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=826603459&page=146 # Source image: https://digitale-sammlungen.gwlb.de/content/826603459/jpgs/default/00000146.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 53 lines, status machine # Lines: 53 recognised, mean confidence 0.87 # 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. PPradeos de monstratio. Subduerto De Subductione: CAP. 24. suxerne scribatur i (= 7 - 6: deinde subductis 5 ex 13 (quoniam ex 3 subduci non potune) restant 8 - 13 - 5; deo lecisigicur r3 _5. Ccribacur Cuperne B: cum quia 5 - 0 =-55 tixuram s ineactam relinquo (vel, E placeac, ipla deleca aliam higuram 5 Cuperne collocare: licebr) cum, quia 8 - 4 = 4, de. lecis 8_ 4 Cuperne Dono 4: deinde lubductio 6 ex 40 (quonia ex o Beri non potest) restane 34, deleris itagi 6 e 40, duperne (cribo 34: denigi 46 -7 = 39, delecis igitur7 e 46 repono luxernc 39. Adcoq: numerus Reliduus superne re DerTUS eA 85339 = 735806 650467. 733806 Minuendus. 650 467 Minnior. 8G AAG Residuns Vel etiam retiduus inferne nOTarI PoteA, hoc modo. Tocius procettur demonstratio (Ere a Finistra dependee ex ordiamur) Ere dexra nocoilloaxiomace, Torum aequatur partibus omnibus simul sumpris: adeoq. subductio omnium particularum, x quiralet lubductiont torius subducendi. Si Fractiones decimales sint inceoris numeris adjuncti, ope- Parrium De. ratio nihilominus eodem procedit modo: id tamen Cempee eimalium. Carendum cA, uc quilibec eradus numeri interioris pari gradu numeri suxerioris Tubsc. Exlemplum hoc 7030865 f cl0. 3136 Si Tubductio institmenda sic in gnancicati Subductionis 302. 1524 bus plurium (ur loquuntur) Denominacionum. Praxis inva eadem tamen eAt procestus racio quae prius. riis Deno. Illud tancum curandum erie, uc quories ex classe leu Perie (u- minationibus Periori (majoris Ccilicet denominationis muruanda cA Clnicas Pro illâ in serie inferiori (hire denominationis proxime mino ris) EOC numerentur unicaccs quoc Ecrierum ad inricem ratio pottulac. Jhic in (ubductione Monera Anglicana, pro + lin bra Tubstimendierune 20lolidi, pror Coli- d0 12 denarii. In Fra- ecionibus AAronomi CIs DEO L ABHO, re- Ponendierunc 308ra dus, DrOT Gradu, 60 minuea prima; PFOY minatO a S