# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068076:0008 # Permalink to this reading: https://leibnizlegible.com/page/00068076:0008?run=73 # Title: Leibniz-Handschriften zur Mathematik LH 35, 7, 4 # Folio 4v, page id 00068076:0008 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068076&page=8 # Source image: https://digitale-sammlungen.gwlb.de/content/00068076/jpgs/default/00000008.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 73, 2026-08-27T15:28:38Z — 95 lines, status machine # Lines: 95 recognised, mean confidence 0.70 # 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. Ergo erit ex aequ. 2 df + C dc + y dy Cc -y et dx aequ 5 a c + yy dy- 2cydc dy 1. qu. 25d+ dc + 2y df dyr cc-y C5 - Y 1 55F dE+ u a5; F va s ccdf E +c. F et c e ∞E+ 2 egatn et m esX =2Cdc d5. 422 V dy. d5. sCc - yy: )a e 15 1e Et e 2 5 F rel: BF du 22cdcdi. + CC dc. 19E2 cc 41yd = 2 2 ++C C. + ∞ 2e it c. e2 tayue aequ CC dys sasys dut, c n e +2 V Lc e. Ls efficiendum jam ut ax + dyresit aqut tnc 1. ex dy dotae, explicana te ipsas c et f pro arbitrio; velati quia id semper succedere forte non poteste, quia relatio inter talem X. et y. forte non est anal algetraica; au liceat hoc efficere datae 2 ut vax+du sit squ. de sed jam videma cum inum non succedit, etiam potest enim uno non succedente abterum succedere quia alla alterua non seccederer. prodit formula si c explices per y. Item sc formari potest quaestu ut c sit rdx + dy de aequ dyc yn g.. F df ex quibus duo sint summabilia Nec Tubita quia hac mathodo tandem exitus reperiri possit mnlti plicare unum datum. alia facta hypolhesi retiam licetlipsas f et C. et alias Mt. qura plures motus conjungendo ad unum componenon datam si non y. saltem ex F vel C. vel alio perim seu ad formandam vax +dyu est ac si assumumus aequationem quotlibet ex pluribus habsatu aequatir duavum literarum; et quaeramque nalorem ipsius sax tau ex a literis ita ut tandem solcendo teliqua ex literaum aliqua, isque siats datus