# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068071:0025 # Permalink to this reading: https://leibnizlegible.com/page/00068071:0025?run=73 # Title: Leibniz-Handschriften zur Mathematik LH 35, 6, 26 # Folio 13r, page id 00068071:0025 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 10v); this page is its right half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068071&page=25 # Source image: https://digitale-sammlungen.gwlb.de/content/00068071/jpgs/default/00000025.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 73, 2026-08-27T15:28:38Z — 83 lines, status machine # Lines: 83 recognised, mean confidence 0.86 # 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. sequentes Hinc jam prodeunt valores arbitrariarum asumterum, 30, 31, 32, et C e SdC 4 39 B 284 3 35 = f1: 94 34 = -83:94.84 B 33 = - 82. 72 + 83. 73, : 94. 84. 34 32 = -84, (461 183. 74. 62 + 84. 1263): 94. 8+. 74. 64 31 = - 84. 7467. 50 =B. 73 Hinc jam proveunt va iolesesbitrariarum sequentes qQuantitatum Hinc jum prodeunt valores Carbitrariarum assumtarum Tabula sequenti 7 35 = + 1. 194 34= - 83: 194 184. Tabula 33 = - 184172483 173. 194. 84. 174 32 = 184174161 + 8317 4, 82 + 84. 1)2163192181174.64 1e3. 1)3 31 = - 18417464. 58. +83 174 16 4. 51 + 1 +. 12 16452 +184174161 153].19418417464. 154 183.173. -183.14. 162.. 1343)2. 163.. 4183173 ... 30 = -84141(4154. 41. +183,74169154 190 +184. 12. 164 15 4 141 H84 1, 4 1b2Squ C +89174 b4150.13 hic terminus eva- nescit, quia nota dextra quae sit seu -1 non datur -183]73 ..... . . . -183174.162... ao Ubi in specto processu calculi ipsisque valoribus prodit Regula talis valores continuandi quantuscunque sit Numerus quhujusmodi quaesitarum. Denominatores quidem manifesti sunt, velut 94, 84, 74 etc. quorum nota ex 194, 194184, 194184 174, et c. ubi numerorum. dato nota dextra est eadem nempe X (hoc loco 4) notae vero sinistrae sunt V+C, 1a - 1, V+ a -2, etc (hoc loco 5+ 4, 5+4-1, 5+4 - 2, ete) Quoad Numeratores omnium Valorum, iumprimo valore, nempe 2 ipsius 3V (veu 135 hoc loco) is Numerator est unitas de caetero ex praecedentis valoris Numeratore si eruitur genta regul via brevi et generati umerator valoris, Sequentis. Sit prior 3H, (veluti 32) ines quovis membro numerus cujus nota sinistra finistra est inter caeteras minima quae vocetur A (et est semper a + K) minuatur unitate et tantundem minuatur ipsi adhaereas nota dextra (ita in valore ipsias 3L ex 61, 62, 63, 4 valore ipsias 3t fiet pro valore ipsius 31 valore fiet 50, 51, 52.) Et quod provenit multiplicetur per numerum cujus nota sinistra sit a, dextra vero a, (hoc loco per 64) de inde et a producto pro auferatur aliud productum ex eodem valoris ipsius 3)E numeratore toto qualis est qualiserat, multiplicata per Numerum cujus nota sinistra sit h- 1, nota vero dextra 1 (hoc loco per ita prodit Numerator novus pro valore ipsius numeri 3K Choc hoc loco 31). Quodsi contingat notam dextram debere ascendere infra 0, ad -, seu nembrum quod prodire alias deberet, evanescere ascripsi tamen in valore ipsius 32 30, harmoniae sequandae caule, nam mi reguta ex tsqa hembrtus printur o toris psis 3 assumtarum 23. 17416915) in 184. 172.164152 183. 173...... -84. 141b1163.. +18. 174 162.... +18F.2163... (83 173... .194. 8717464154. 44 +83. 173. Ar Comisso c initialibus semper occurrentibus) Sprio Nunierus 3K (velut 32) ulor ipsius numeri a et in quovis membro numeratorem quem habet lor ipsius ingrediente