# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068198:0015 # Permalink to this reading: https://leibnizlegible.com/page/00068198:0015?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 2b # Folio 8r, page id 00068198:0015 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068198&page=15 # Source image: https://digitale-sammlungen.gwlb.de/content/00068198/jpgs/default/00000015.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 56 lines, status machine # Lines: 56 recognised, mean confidence 0.83 # 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. series y= a + b + C + d F e, etc quigis teminus sit t, et serie, summa sit (t, et qu St erit = CH + rectan 2 spectanus. Haece etq(t (13+35. Hic redeunt thectemala incablum prbposita. Hinc fortasse aliquae ntilia ad summas serierm ra nam rectangula, X trirectangula, et aliae fortuae possunt reduci ad solas summas potentiama, et ita infinities infinicorum FB (+ (B reduci ad sb (al + a (B- al + bB. summa, reducitur ad summas finitorum Ergo sed video nihil hincdari husi constet de propiretate senei sD- b + - de B = de cum relationibus quae sunt (t = sd (+ e potest etram =+ (D + DAt u dus adque erc forta poterit semperit definiri conjungantur Si haec theoremata accedant anseries possit revocari ad aequachonem differentialem B inter dus b + c+ d+ C l mn p a vel b vel C etc = C F + P + + rc Ex data relatione finita inter da, b, c, etc eaque- finita cnter y dudus ek vel invel nekc = universalis sed serviat ad seriem y sense laa habentur D G taa et quia ydy= illgys et sa, etc = 5) devaeratur relatio quae non sit ident obinion hab seutab nes omnium rectangulcru seu scemina e C vel 5 identica seu determinandam abC, serres omnium y vel termo sa vel a. 2