# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/175905688X:0500 # Permalink to this reading: https://leibnizlegible.com/page/175905688X:0500?run=74 # Title: [Ps. 1] (shelfmarks Leibn. Marg. 178, Stück 1; Leibn. Marg. 178) # Folio 478, page id 175905688X:0500 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175905688X&page=500 # Source image: https://digitale-sammlungen.gwlb.de/content/175905688X/jpgs/default/00000500.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 52 lines, status machine # Lines: 52 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. 478 IOM A NNES AIUDDEHLL LPLSF. L. Cum hic P sIE ∞ 0 IbLtin aequalis B in D O. Diriloresultimi Termini, seu ralores iplius B, qui Poli sune cora siderandi, TuNE-L F, vel = 1, vel. f 2. Unde lumendo B∞0. L F, obrinebitur y3X. F 3 p F ∞ 0. Sed cumy hujus aequationis nul- lum ralorem rationalem admittat, transeo ad alium, nempe q 2. Cum aurem (iIC Z = BHat ∞ 0, atque etiam p (iIC DO, cric, juxra dictam determinationem, y∞ hoc eA, Y ∞ 2. AE quoniam PEc Py y- + 9y 1 LB invenicur fractio, eranlec demum ad h∞ = 2, aeque hine obtineo y3 X = L y X ∞ 0, hoc eli, 7∞- F 1, e7 ∞ - 1. E. quibus tandem inreniendus superest valoriplius Z. Quocirca (i primum sumatur y ∞ L F, invenietur inde Z∞ F, _ ∞ 3 - f y X X L ZX L B ∞ x 3 L F X X L +X = + ∞0. Per quam aequationem Propolica diridi pocest, oritur enim pro Guoriente X 3 = TXX F IX + 4 ∞ O. Qudd (I aULCM per eAM diridinon potuisset, utnec per aliam, ubiy cAt ∞ = F, aequatio Proxolica dicto modo non divisibilis tuisset, quandoquidem sic omnes iplius h ralores examini subjecisemus. sla in E nI unc ha InC De dei in Det riell ut BOII 2d a Mer alia Sed P ae te que ad1. Pler mut Tione