# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068198:0134 # Permalink to this reading: https://leibnizlegible.com/page/00068198:0134?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 2b # Folio 67v, page id 00068198:0134 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068198&page=134 # Source image: https://digitale-sammlungen.gwlb.de/content/00068198/jpgs/default/00000134.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 92 lines, status machine # Lines: 92 recognised, mean confidence 0.71 # 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. d dz V bb +r77 datur per Conicas quadraturas a vel rationales. y b6+ L sit Z n ( -(n + nX) 4 ccgfiet d bb + XZ aL a sen cux a bb + a2 sit e ed p + 4X Set qX ales et fiet aX. YctE 4bb + reXX a cc + XX s+ 1 dx . Saa + CX, fiet de Vaata et fiat u summabile: Aergo sit a ex c vaa dtul sit Z sue l P + 4X, p+ ZXt do 2 m+ n X ergo de dez 5 saa + Cx, b tataat ex = y. summari potent ratonalitr quadratura ydx. Ergo et vaissim, Xay vaa tex bbtatga rex quadrando fit a A bbs una hic epulato uno padiatione quia q yy dyc lrtuto a4 + CX, b +2a1aa + cx + sus+ 4a X ib nales coinci dunl a seu Zcca = yyaab+ yuaa 2a Laarex Fyy ali ryytex e +Cxyyb + cx y92at actatergyaa rcxguexq s 2aGy + 2a CXyy) saa tex = ag4acyy +ax yu 1 2b6 a14 tende quadrando assungebur ist. b ex ca ubi xxe habebitur extrahendo, radicen ex et crgo An ergo saxdo habetur aliunde sane habebitur si habetur Exyax, eam autem haberi patet duibio Kae+ axaanx artex bbra va rgx phaet _2aehux tannX S si scribamus Unde quadhando e ag +CX, b + 2a bb aaetqu + aeraaque au b +aC sit = af et nominator erit ar+ argx + 2aarbb raet qu + cxtaacorx + 2 abbCX vaetqX, ot fiet Hae, qu. = tha +ruhix tamak atrg faciamus uti nudli si isibver tum 10 9taxaacgxyu nabb (exrar XX 19