# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068000:0057 # Permalink to this reading: https://leibnizlegible.com/page/00068000:0057?run=73 # Title: Leibniz-Handschriften zur Mathematik LH 35, 4, 3 # Folio 29r, page id 00068000:0057 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068000&page=57 # Source image: https://digitale-sammlungen.gwlb.de/content/00068000/jpgs/default/00000057.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 73, 2026-08-27T15:28:38Z — 107 lines, status machine # Lines: 107 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. s Y= 138 +Z e e bx- 13X + 10 = 3) Zfirt 13. 1 talis erit re tem X L 2. 13 f.( 13C minor quam et eat y e et L 169 ee + (2182C vaeritur in Integris gy-10-: 13 eque 7 1 39): 13 = + +12C +2 P + 2.30. 6+ 36 n lB X + 10. + 39. 3ec+ 141 3E 0 + 2. 7.BC +10= 13. 13C henL fiet outetur quis numerus 7y - 108. et X 13. 13eC Ilem 13X G2D. X= 10 13X ve y +72610 = 13Y ex hypothesi, opi njo Nam . 3X + 10- dat de + 1 + 2. 133 et y9. +2 in vel X. MC ia et generalius Ergo q necessaro ps 12 possit e et 6.6-10 (=26): 18 = 2 sic Z est c 13ee 1 pes per 3 minor quam 3 +14e + 3 vest 2 v est 2 1. 6 52 ad Z 13. + 3 182 9 69 13= 2 13X +10 aequalis quadrato, nec aliis p. =1 fiet X = L 2) =13ee +12C+2 vel fiat X = BeC modis res praestari potest iit =19. pempe erit 13,27 410 = 361 =19.19 7 ie rat X. ita quicunque sit numerus e ex Ex X = 13e4 12P+Y, si s C = 1, sit X230 X = 13CC+14C +3s quod est quadratum de 20 et 13X = 390, cur addendo 10 fit 400 13 e 1g. i 13