# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/826603459:0154 # Permalink to this reading: https://leibnizlegible.com/page/826603459:0154?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 106, page id 826603459:0154 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=826603459&page=154 # Source image: https://digitale-sammlungen.gwlb.de/content/826603459/jpgs/default/00000154.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 37 lines, status machine # Lines: 37 recognised, mean confidence 0.92 # 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. De addirione Subductione. esc. CAP. 15. Acqi hoc quidem; de Additione e Subductionc Algebricd ee Speciola, dicta sutticiane. Ouod aurem superius de Addicione monnimum, illud eciam. de verisq; Addicione e Subductione (Tire Numerolis Cive spe- ciolis) incelligendum cst; Nempe Duando plures quanitates sunt continué vel addendae vel subducendae, vel parrim addendae parrim subdu- cenda, Perinde est quo ordine instituamur eperationes, mode omnes continué peracantur. Non enim de ordine Ccu Ciru quanciracum quaritur ded de eorum magnicudines (nempe quanrum illud Cic quod emersie, quocunque candem ordine disponantur.) empe o + 3 4 = 6 - 4 + 3 - 3Y6 4 = 3- 4 + 6 = = 4 +6 +3- no 4 + 8 F6 = -5. Irem A + B C =- Bt A = C =- A C FB = B - C t R = C FAFB - = C +B + A. FCCI milicer in aliis. CAP. ZV additionis e Subductionis, per contrarias operationes, probatio. Ob jectionibus Rami respondetur. Duaestiuneulae aliquor familiares solvunur. Probatio novenaria. Vrur lubrica sit, non tamen con- remnenda. Duomodo reddi potest certa- Doacradicam Addicionis _ Subductionis praxin; annecten. L dum ridecur aliquid de veriusq; Probarione hre Examine. Cum enim in Arichmecices praxi, erronibus praeserrim e pa- rum exercitaris, error calculi Facillime possie irrepere: PolenE hic Arichmecicae Pracica Magistri methodos eradore operacio- nem jam peractam examinandi, quo melius perspectum sIC numquis error (abHr. Juam egoremi in hunc locum dictulis quia addicionis e Subduetionis examinarionem simul craden- dam esse duxerim; partim quod eadem Fere lic ueriusq; mecho dus; parcim eriam quod neurra seortm cam commode cradi Examinario Pollic, cum alcera alcerius probacionem praettct. Addicionem peractam Colenne eM per Subductionem (ope. sive Probatio rarionem ips concrariam) examinare. Cum enim duo nume- Addisionis ri Cimul addici sune, (i ex Cumma Lubducatur eorum alLCrHEra, rectabio