# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068201:0562 # Permalink to this reading: https://leibnizlegible.com/page/00068201:0562?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 14, 1 # Folio 281v, page id 00068201:0562 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 282r); this page is its left half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068201&page=562 # Source image: https://digitale-sammlungen.gwlb.de/content/00068201/jpgs/default/00000562.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 61 lines, status machine # Lines: 61 recognised, mean confidence 0.87 # 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. Ipsa autem aequatio collatitia exterminis ultinis aequationum nempt. 6. et et 7. vel 20 et T. erit: no + n = 56 M13 - a (R) et pro n. et mn. substitiuendo fiet, 12 valores inventos ex aequationibus 23. et 25 + 112 10 p2 iba qu saer. n6 (7) 9, 6,6 P a (R) - β3) 10 36a 2 quam per compendium ita enunti abimus 10 (28) m. + ea M + eas A ea - 4 fa et erit mo =ea + ea - +favrace 29 Necesse est ergo ut C sit major quam 4fa, senes vel ii ipsas seu habelitur determinatio Habemus ergo determinationes duas, unam ex aequatione 16 2 (30) quae est: 5P p 18 a 2. alteram n e Bb) 4fa ex aequatione 29. sive explicando e. et f. secundum aequationem 27. C et pro 10 110 P - 36 a Q. ponendo (P) ut jam ante feceramus quoniam scilicet (D) secundus terminus aequationis 6 coincide aequivalet ipsi ... secundo termino aequationis coincidentis 20. ex determi 31. fiet. 117 11, (P) 4, 81, 36, 36 4, 11 9, 6, 6, ’a (R) +a(2, (32) +, R 1 131, 36, ubi quidem quantitates T. AT. SI sunt affirmativae sola quantitas 3 non est signi determinati. Patet ante quantitatem Ante omnia autem videndum an quantitas ) sit major quantitate TI. nempe sive an sit 1 1L Y , hioc 11, 11 p 1, sive 11, 11 B 9. 6 est ergo T ad 1 ut 11, 11 ad 9. adeoque multo major quod si ergo cstet B fieri possit quantitas affirmativa (3q (vel saltem 976, 6, 9, 18 aR p3 haud dubie effecta erit determinatio 31. sive 32. Quorum nentrum si praestari possit, integra determinatio 32. in calculum vocanda erit) et efficiendum ut 11, 110 - 8 (P5) a (R) sit - 2, 11 (P3 R) 1, 6, 6 lt 9,36,36 Sed quoniam effectis determinationibus 33, vel 34 habetur determinatio 32. ideo brevissima cum sit 33, quo ad calculum facillitua, ab ipsa incipiemus. sive .h fie vel (P F