# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00067993:0266 # Permalink to this reading: https://leibnizlegible.com/page/00067993:0266?run=39 # Title: Leibniz-Handschriften zur Mathematik LH 35, 2, 1 # Folio 132v, page id 00067993:0266 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 131r); this page is its left half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00067993&page=266 # Source image: https://digitale-sammlungen.gwlb.de/content/00067993/jpgs/default/00000266.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 39, 2026-08-27T09:55:26Z — 46 lines, status machine # Lines: 46 recognised, mean confidence 0.78 # 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. videndum an infiniti parabolae serviant surdae serviant ad circuli vel Hyperbolae sin taenis s ponatur ne Grultatrilis nn ergo pisto summae sutm . seu E1 a- b sit Z1 A X Ergo Za - B7 a. et bp Za -a. Ergo bp, a - a sit a BCB -x. fet b pet d -x - c, d - x dtx dgx O Porro momentum 1 rduro Va B erd. X ∞-c sdx et b ad X0 + 1 Y d- X +4d -x onstans eut B psile jus entus y Sd+x hat quadrari potest, pendet enim exirculi summa summarum, quia momentum V’exe est aequatio curvae factae exapplicatione arcuum ad tangentes 7 jum obetrianus ulc similia 4 G L ARG. unde AB in GLB GW in AC hujus ergo figuaae quadratura scendet ex quadatura Hyperbolae quae fiet arcubus ad langentes applicatis vel tanventibus arcui postea in rectum extenso insistentibus, a concidit quadraturae Hyperbolae, ergo ujus summa: sa B X- l ad Hy perbolico complenent antentm +yet ptet extips tiui B. ipsae. y y y3. ex soeletiam ipse 7 caterium maximus ex ipsis e ent areuo ssi et ulta seu summu Y. psitaltinhati D, in F 8 distatatia, a vertice complent ete spatium nti complementale, rae autem s.c progressibiis Geometricae po et ipsa sumrum ipsarum (B.) e eae haberi potest idem in quolibet arcu spatius procurrer in nitim cum verla I. cene ommute atrori ca Summam: a - b e ejus pender ex circulo– dit sp 3 Jum. 19,76. . inde Z) a at a a + b + b 6 Quadratum Arilhmetica liculi et erp. nomnihit variata. ponemo 4 rego. u Bx b. ut pencamentum ani 1. 1.. aartalliua lum