# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068200:0151 # Permalink to this reading: https://leibnizlegible.com/page/00068200:0151?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 3 (shelfmark LH 13, 3) # Folio 75r, page id 00068200:0151 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068200&page=151 # Source image: https://digitale-sammlungen.gwlb.de/content/00068200/jpgs/default/00000151.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 42 lines, status machine # Lines: 42 recognised, mean confidence 0.89 # 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. -- 2 + 5 Ix pro summis serierum Ad in scriptiones ac circumferi iptiones polygonorum ita instituendas ut simul ex exhausta in idem de sinant ita agendum est sumarius seriei terminos teno plures poge quam sit terminus aliquia quidam progressionis geometricae duplae (idem de tripla puto, sed nit necesse ut hoc loco g. id est at clarius loquar Axis sit divisus in partes rocto. seu numeri progi. geom. dupl Termne quasi- curvae puncta seu anguli scalaris flexurae, A. B. C D. E. F. G. H. L. jungantur duo quaelibet punctum uno intermedio relicto, incipiendo numerationem a primo siilicet A er C, G C at E., E er G. Ger L et hurtus juncta uno relicto intemdio junga semper intermedio jungantur reliqus nempe A er E (relicto C) E er L (relictoG) et eodem modo misus A et L reticto E. Et ita habebimus polygona inscripta: A AEL. ACCGL. ABC DEGHI. pro circumscriptis similiter procaedendum non per angulos sed per latera seu tangentes. Tangens puncti A Jungatyrtangenti puncti R ambobus non communi, seu jungan tur iatera ercA. et BC umisse AB in puncto M Comissa AB) jungantur BC et DE in puncto N Comisso Cd) item Jum DEeFG in puncta D. Y ilem FG et HI in puncto Q. = per saltus jungantur ete A. et di in R. Olem DE et HI in S demque etc A a HL in F. Ergo poliu quamue circum scripta sunt L ARSL. AMNPOL. ABCd GHL omittam, potius polygonum it totidem cige en verte