# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/175906937X:0126 # Permalink to this reading: https://leibnizlegible.com/page/175906937X:0126?run=74 # Title: Ps. 2 (shelfmarks Leibn. Marg. 178, Stück 2; Leibn. Marg. 178) # Folio 102, page id 175906937X:0126 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175906937X&page=126 # Source image: https://digitale-sammlungen.gwlb.de/content/175906937X/jpgs/default/00000126.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 35 lines, status machine # Lines: 35 recognised, mean confidence 0.89 # 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. 102 D E N A F W R A cebic, mucacis lignisterminorum locorum parium, ut 2di, qei, _c, non mutaris lignis reliquorum, (comprehendendo lubrermino. rUIM nUIMerO etiaM lOcOS VaCaNteS:) secundum terminum sem- per aequari summae radicum aequationis, aftectarum cum suis si- nis- et L; cercium rero, summae productorum carundem ra- dicum, cum singulae bina in se inricem ducuntur: de quartum, summae productorum multiplicationis, factae ex lingulis cernis, acque sic deinceps. EInde sequitur, deficiente secundo termino, ipsam fallam sum- mamre Falsarum radicum aequari ipsi verxe vel verarum summae; ec, deficiente tertio termino, productum rel lummam producto. rum ex binis, per signum- vel = delignacorum, ae quari sum- mae productorum relei, quod ex religuis binis producitur ac cum contrario signo aficitur, et Sc de cxceris. Primum Exemplum. Fiat ex mulciplicatione x = b ∞ 0 per X F6 ∞ O haeC aequatio x X = b x -- bc ∞ 0. Ouare mutatis signis LC Secundi termini ac retento signo tertii, habebimus X X L b x - bc∞0. Ende apparet, b = c esse summam radicis verx L b e Fal(X -6; 8 - bc esse productum ex mulciplicatione Fal(X --6 perveram. L b. Secundum Exemplum. Fidt deinde alia aequario x x b x t bc∞0, ex mulciplicatione x --b ∞OperN = c ∞0. Mmare mutatis signis secunditermini, recento signo tertii, habebitur xx L b x L. b0∞0. 15 Unde apparet, L b. Fc esse summam duarum verarum radicum, X fbcese productum ex earum mulciplicatione. Terrium Exemplum. Fiac ex concinua mulciplicatione triumra- dicum x -= b ∞0, ∞ = c∞0, _ X L f∞ 0 aquario sequenS: X3 =bxX L bCX L bCf∞0. Ouare mutaris signis terminorum locoparpolcorum, relinquendo ligna reliquorum, habebimus 3 F b X x F b6X = b6f ∞ 0. IInde apparet, secundum cermi- nuI