# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068216:0008 # Permalink to this reading: https://leibnizlegible.com/page/00068216:0008?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 3 A 3 # Folio 4v, page id 00068216:0008 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 5r); this page is its left half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068216&page=8 # Source image: https://digitale-sammlungen.gwlb.de/content/00068216/jpgs/default/00000008.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 123 lines, status machine # Lines: 123 recognised, mean confidence 0.76 # 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. b abc ab. + a bid suabeda + aved 1 +a rabedlsse, O. 1Z 2abcd ab Mosudest) AFSVX = 2yβ +308 +2X) -18d ab aeq. y = 2X2 yae b aequ. y = 2yX Z faeb aequ. ahaeb pat aequ. abc A Ed Laved (C y3-ryZ aeb aequ y- 3yXZ + 3Z + Xβ -4yB +. +3x)) + 1d adsa + 3Z aebed, Aav +avd V 2yXZaequt 46 tabe a b +4b2() + abcd Vrgsizuu aed L8bcd abed a2 -abid xC truse (eu YX. 37 V. ryxz aqu. ab 4 ZuX - 33 XB y a b aqu hyx 43Z + XB -y B 7 X-9 vab2 V- 2yxZ aequ ab, ab aqu a. b (4) + abe aeb V. CyxZ 14b2(B) ad 0 ad ab yX- SeuyxZ. 922 (FyX 3Z ab aequ v - 3yXZ + 39 + XBC V ab aequ ab ab aequ bcd d abede 6d (4ab2d (C) a bede e) seu X ext2yp a3b aib -285 b+ 12 ab + 2a bc + 6 abcd aetr na bC 2ahc (13) F2abca 6abed (C) 42Z X ala Babc +2ZX - 2β. Ergo ab aequy- 12X + 2 +2,4, 4 - 1 investgandum tantums quid in ab 4+bc + etc positus p seu y positis pro X, Sit ponendum pro y. et Z ab + ab + bc. sit X aequ A+ B+ C. erit y aegu AB aequ. + a bc Sed generalius +abc BC +ab u ab aeq (X) erit (3) aequ B qbc+ avC abc a 1 ex (V) egu. Thabed B) +3β ab +ac + -aa ad aetitem pt Ergo conjectura mea superioris paginae sub signo () vera rsarta est. Eodem modo videamus quid respondeat ipsi (Z). (Z) aequ. abi ac, ad. + ab, ac, bd tab, ac, de + ab, cd et Z aequ. + abede 3. 321, y.2 60 1455 455 15, 14, 13 9 5. 7, 13 818 4 ugo 25t abcd 60 abc +aebede gsabedef eogo sosicera videtur tom in quatuor tenta setsecemtinationum. ab c. ld. bc 0d. 1d dmmonos r0 pt ab abt 25 rqu abc + abed + ab c abe d lute ubuit ci b ac 1d aebid 180 20 90 30 4 =abe +3abede habidea os 18 yZ 13Z +X β. 2y B abud abcd ab ae tabede nes sabides E +9lede abide e +VX abiet +)X Enr in alterua abed =X(F9B 2 a bed inn ab. c. d a bcd a bcd ulsetio ab dacaad aeras. abcablebetbs ac cerderd quaeritur quot modis exharum 15 combinationum. congnationibus fieri possit abcdet inveniatur, primum omnes modi quibus sit, abcd ex comenationibus a ac ad, bc, ba ed hoc autem k modiss tribus (vide ) tohes igitur figri potest abedet em et, alia +ZX = 4B. Ergo A(Y) aequ. ZX- 3. liguaniu ab, ac, ad abcd ab, ac, bc abc