# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/175905688X:0273 # Permalink to this reading: https://leibnizlegible.com/page/175905688X:0273?run=74 # Title: [Ps. 1] (shelfmarks Leibn. Marg. 178, Stück 1; Leibn. Marg. 178) # Folio 251, page id 175905688X:0273 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175905688X&page=273 # Source image: https://digitale-sammlungen.gwlb.de/content/175905688X/jpgs/default/00000273.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 59 lines, status machine # Lines: 59 recognised, mean confidence 0.71 # 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. edel, veire D aGuI U tu aCu ruciie dent 1 e 61 L. 2G D Ut OMCHLAAIIEALIBRUMLI. 252 rem, reliqua tete ulcetam, ac demum urraque pars diridatur per bb v2b, Ortetat agatio calIS: b669 2b. loc est, tranctatis quantiratibus omnibus ad unam partem, erit: BB L66 55)Y Fb00y + bb66∞0. L vo V 2 Ouxe aequatio relationem ostendie, quam puncta Conchoidis C F habene ad puncta linex rectae B A. Guare, postquam in ip(3 quantitas p est data, quandoquidem punctum C dacum est, super- eltut inveniamus quancitates vee f. determinantes punctum quae- licum P. Hlunc in tinem aliam aequationem instituo, quae aeque multashabeat dimentiones, ec in quay duas raleat quantitates, qua sibi inricem sine xequales. Ideoque supponendo y e, sire 7 - e∞0: duco y = ein (c, de ticy y = = ey- L e e ∞ 0. aquatio duas habens radices xquales. Ilanc porro mulciplico per y. L f, uF alcendat ad aliam erium dimensionum, ejusdemque torma cum praecedente, e prorenitxquatio y 3 + s 2 e] 7)+ ec Y + ec f∞0. Cujusterminos separatim contero cum cerminis pracedentis hb C0 (()y + bcc9. F bb55∞0. LvV non E UInde cum primus terminus in utraque aequatione sic idem, comparo secundum cum secundo, ac reliquos cum reliquis. Adeo bbc0 DE, Sictatuamus : V -, 8 D cef, e verinque dividamus per ce. bcc + 2bCCY 2ef Oriatur f∞ cC bec Pari ratione, 11 2 v - 2 b D F ec Y. Scu cC o=6∞ ef. + e0, inlocum fsubroserur ralor ejus inventus 112 bb0