# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068073:0155 # Permalink to this reading: https://leibnizlegible.com/page/00068073:0155?run=73 # Title: Leibniz-Handschriften zur Mathematik LH 35, 7, 1 # Folio 78r, page id 00068073:0155 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068073&page=155 # Source image: https://digitale-sammlungen.gwlb.de/content/00068073/jpgs/default/00000155.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 73, 2026-08-27T15:28:38Z — 55 lines, status machine # Lines: 55 recognised, mean confidence 0.85 # 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. . Terminoru in finitor explicando arbitrarius infactis datis adeoque S nisi tantum destructis earum altioribus. data aequationis 2 eris ita ut infiniti illi numeri illi b. C. d. F. sit tantum terminorum hom co efficiente numero semper finiti, licet expressis miditinte et e ut postremi- quilibet ex ipsis poni possint Minto aquales it Cunc erit inventa ejusmodi relatio generalis ∞ aut demonstrata impossibilitas Sed pro speciali relatione salis est poni relationem indefinitem finotam indefinitam seu generarem inter duas ex hus tribus literis, ejusque ope tolli untm liberam ex aequ. 1. debet inde reutur P aequatio fimin, vel infinita divisibilis per ficutam Necesse est enm duas aequali a solas, Relationem inter duas litera exprimentes habere commuinem divisorem. Quod sis impendio et simul casim speciali cipsulere possumus forte sic facere possemus faciendo: a aequ. 6+++ dr +Et et idenim semper n+x + +cY +∞ treu potest eu datur fuae aequatione pro tribus literis a. t. Y. atque hurc valorem subestituendo in aequ. 1. inde modibit nova aequatio solam exhibens relationem inter + et Y. quodsi jam intactis ( V. S eq A. L.B etc assumatur duta indefinita texprimen) finistae data et r. finitum. eaque dividaso aequatio aabitnona datam elationem inter relationem indefinitam explicatus ita ipsis td. arbitrariat assumtis literis nunc β. V. t. etc. numero finitis ut procedut 2 10 6. et si id fieri potest habermus quaesitum si non potest impossi ita formulam indefinitum artitrariam comperetuirelatioii definitae