# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068121:0001 # Permalink to this reading: https://leibnizlegible.com/page/00068121:0001?run=73 # Title: Leibniz-Handschriften zur Mathematik LH 35, 8, 27 # Folio 1r, page id 00068121:0001 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068121&page=1 # Source image: https://digitale-sammlungen.gwlb.de/content/00068121/jpgs/default/00000001.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 73, 2026-08-27T15:28:38Z — 43 lines, status machine # Lines: 43 recognised, mean confidence 0.79 # 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. set Demonstrario ummae d guliscimetici serierum recipioce seu Trianguli Haeriiicie A AB. h+ 2F. B+ p= e DH 1. + 3 + 5 + et Cs ++ = + + 10 15 + ex epen a Ert A -1 1) + = + + + L eu 1 4 BH + L + L+1 + L er jam per rheorema A- 1+ = B1 1+ L+L +1 erc Ergo 13 A-1+ = B aA. Ergo B 2. Adeoque habe tur totius serici B. summa Eodem modo B - 1 + 2C p B. Ergo Cp 3. C- 1 + 3D AC. ErgoDp = at Et ita porro in infi, nitum. Ergo ut in unum contrahamus: D erc n n 2a 1 3 erc c ete eu et sit conjectumlia certa etc verte: