# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00067993:0154 # Permalink to this reading: https://leibnizlegible.com/page/00067993:0154?run=39 # Title: Leibniz-Handschriften zur Mathematik LH 35, 2, 1 # Folio 77v, page id 00067993:0154 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00067993&page=154 # Source image: https://digitale-sammlungen.gwlb.de/content/00067993/jpgs/default/00000154.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 39, 2026-08-27T09:55:26Z — 38 lines, status machine # Lines: 38 recognised, mean confidence 0.74 # 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. Quaerenda autem compendiosa quaedam ratio appropinquandi et n (2s aequit 2x +1, 2X +3 2X137 quaenamus hinc vulorem ipsius X. nempe in -h E1 seu L(4 21m 2x+I, 2X 1 per 2 eodem modo: mam ago 2X+3, Ex 15. Ergo (per 1m dert n.m per m-h X. sen 2X + 11 m-h equ. 2X 15, num. per 6. Ergo 2X, mah- 2x, in C m (per 3, m, 2443 n aequ. S.2 am- m ut m ( seu m - 1 - _ 4l, est aequ. m -= e m seu moatia aquide quod ranti num. Satius erit quarere vacorem tom ipsius 2X +1. hoc modo: 2 4+ ex aequ. 7. 2+ 41, m. h - 2XI1 n. m Eaegot m n jam im - h - n - in (9) mn-hn. Ergo per ioet u erit 241 a nimutm .4, n- m a (127 m Ergo 2X+1 aequ. 4hB im quem valorem ipsius 2X+ substituendo in aqu (1 esi mm-hn fiet. m aequ. seu Bnum 6l on.b, B n. m, nn. liqp n. ta se mn-hm tum-lin m-h. aequ. nm-hn, 1 hsi 1. et n. 3 ac 1. 3 aaferior in calculo jam in aequ. H. resumendum 128. 32