# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00067993:0522 # Permalink to this reading: https://leibnizlegible.com/page/00067993:0522?run=44 # Title: Leibniz-Handschriften zur Mathematik LH 35, 2, 1 # Folio 260v, page id 00067993:0522 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 259r); this page is its left half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00067993&page=522 # Source image: https://digitale-sammlungen.gwlb.de/content/00067993/jpgs/default/00000522.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 44, 2026-08-27T14:25:39Z — 70 lines, status machine # Lines: 70 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. Videndur am summae inini possunt per appro pinquationem. b l + - st fq 104 har lia +ba bit, b + 2 4 223+81 +24, 4 219 Esto D = circulo. et se circumferentia fiet: aN = 0. Eg 24N = O. Ego 2ad = 4 ax - = deo cum posita danetro = 1. 2. iventum sit ese Eirculum 3, + 4 3 99+ 1g5 et = C O erit = 4a ao Cago equ Cuculo ipo Ergo 5+ 3 ete vit = 3 + = + = etc = 8. et 8 + SF RA THO DLAME TRI AD CIRCUMFERENTIAM NUNC eRImum GMETAEE EXFHESSA, ad roaS PER SERIEM MAGNLTUDO CIRCULI et 2a EXACTE ACCUAAIEINVEYTA NIMERORUM RA TIONALIuM. INFIxiTam QVADRATURA, CIRCULi ARITH MZ EICA numerorum rationalum 3500 238 per infinitam se id est non Mechanica quidem, quia exacta est, neque u serte infinita numentum 3762 geometrica tamen, quo 3867 extivaatium explimo potestcirmili aut ergcum pontrae magnitudo, lineus arca aut circumfconitia datio 30936 ad drametrum, etsi summa ta totius seriet 1039 Id est non Mechanica quidem, quia exadta est neque GGeometrica tamen, quia non dum recta cirumfert arcur aequalis ex hibita est. Inventa est tamen vera circuli magnitudo, et Ratio diametri ad circumferentiam accgrate expressa est infiuita serie portionumd t sc uarum progrestoms harm oniae serierum ANumeror imparii sine fiie continuati duplicentotumqus omnums Numer ungares ininfinitum deinceps ab unitate contrnnati duplicentur, a duplicatorum quadratis unitas auferatur Y Residua sunta ominatores Fractionum, quarum Nomarator unitas; ap erit haum fractionum jum qua mensura semel sumla aequivaleat diametro; e altunc portionum ejusdem monsurae, secundam has fractiones in infinitum assumtarum simma quabitur octanti peripheriae Circum ferenna arme ect cujusdam progessipe aterum rectae egjodam dato si . 4, Z + 4- 4 3 1 esc. in cisinitum. ca = 118 + =radio Egd Ergo ita ago 3 eam, s2 Erit Diameter sit=