# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/826603459:0463 # Permalink to this reading: https://leibnizlegible.com/page/826603459:0463?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 17, page id 826603459:0463 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=826603459&page=463 # Source image: https://digitale-sammlungen.gwlb.de/content/826603459/jpgs/default/00000463.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. Hoc est, DEDICALL 10V3 4096 c +5894 4096 Sive 3840V3+5120 i 331513+5694. Hoc est 52513 L 774 Vel 1826875 1599076 Ereo SO i sO AdeCGNe ( X Co L X O. FI propterea punctum visectionis inscripiae est infra punctum Quod cratostendendum. C.e similicer oftenditur de alia quaris in- Acripea, quxe luperior (c ed quae per rereicem cranIE. Cumque hxec omnia sne lexicime demonstracas Ouid intei rim, inguies, de Aquacione nocra dicendum eric, qua demon- Aracionibushilceruis subrerei planc rideatur. Ouamris enim ucrobique conreniat proposicionem examinandam Fallam esse actamen de sicu puncti D superioris, puenare mucuo videan- cur. Ouippe per sEquacionisnotrae radicem lupea inventam, esset pD Cuperius = 3dV 3 + 3d; ac in demonttratione cua prima, habecur D A (hoc est DD CurTum) =- 3d. Icem cum Sic DD superius = 3dV3 + 3d, _ D D interius = 3 d V 3 = 3d, essec veriulque agxrepacum, hoc eAt, recta DD = 6dV 3: ac in demonstratione ma lecunda, eA AD (hoc elt, in praesenti ca- Tu, DD) ad A P, uC X ad 3V3; ad eoque cum sIC A P = d, crie AD = DD = 3dV3, non 6d V 3. Ouid icaque dicemus; Nam veraque rera esses (tum Analy. En nottram, cum demonstrationes enas:) ac quiillud Aeri Dosic: Eiguidem aandu suvannddio. Num icaque rel has vel illam Falsi acculabimus? acque alicubi crracum esse dicemus: Sed neque ridetur hoc dicendum. Eccubi enim: Num igicur dicemus eandem (quod camen nc dicam non nisI exerema ne- celticare adisar) Analyseos leges non lacis racas habendas esse 8. adeoque Analycicen iplam (quod Faciune nonnulli, ipsius pa- rum enari,) acculabimus, quali quid Fallum docear: Ac ab hoc cgo D. V. Lacis abhorrere non dubico; quipre quo analylin ac. curatius nemo, nemo subcilius, exercet. F’accor equidem heri nonnunguam posse (quod camen nemo quem scio Analysta hactennmaadidic) uc in calu impossibili, non eam cacim de- cCBat