# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/824573315:0303 # Permalink to this reading: https://leibnizlegible.com/page/824573315:0303?run=74 # Title: Qua Continentur De Angulo Contactus & Semicirculi, Disquisitio Geometrica. De Sectionibus Conicis Tractatus. Arithmetica Infinitorum: sive de Curvilineorum quadraturâ, &c. Eclipseos Solaris Observatio (shelfmark Leibn. Marg. 84:2) # Folio 91, page id 824573315:0303 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=824573315&page=303 # Source image: https://digitale-sammlungen.gwlb.de/content/824573315/jpgs/default/00000303.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 35 lines, status machine # Lines: 35 recognised, mean confidence 0.84 # 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. ule (loB. L26, 122: Arithmetica insinitorum PROP. C. XI. Corollarim. Cndc. Si infinita series sequaliune muletata se- rie Primanorum, in eandem seriem sgnalium eddem serie Primanorum auctam, respective du- catur: Rectansalorum (C vel Onadratorum aut etiam si- vilium quarumvis ficurarum ipsis aequalium, aut quidem proportionalium, Recreeatum, ad accrecatum toridem maximo qualium, rationem habebit cognitam. Atq. idem accidet, si Duadrata seriei muletatae ducan- tur in Quadrata serrei oucta es enbiillius in Cabos ha- Insi sc deinceps. Nempe cadem erodibune raciones quae in erop. 1 28. N. m R mod : E md 3 = R p 2 a RE + 2 in R F2 Tacit R, 22 C. L: R F 2 : == R = = 2 aR + 4 2 R = 2 2 2R 2 + 2~ _c. C: R in 23 = R = 3 aR = Z 32 =R = a in C: R + 2: =- R 8 4 3 2R = 4 32= R + 2 tacie R 32ER + 3A =R = d EC. _sic in singulie cerminis cujueris porettaris; un mulciplicando paccbiceroP. 121. eROP. CXXI. Crrovarium. Deoq3. Circulus ad Gnadratum Diametri, (vel et i- am Ellipsis qualibet ad Parallelosrammum sibi cir- cumscriptum. eam habet rationem, quam habent Radices quacraticae universales Restduorum seriei infini- re Aqualium serie secundanorum muletata, ad seriem il- Jam segnalium. ena