# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/175906937X:0336 # Permalink to this reading: https://leibnizlegible.com/page/175906937X:0336?run=74 # Title: Ps. 2 (shelfmarks Leibn. Marg. 178, Stück 2; Leibn. Marg. 178) # Folio 312, page id 175906937X:0336 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175906937X&page=336 # Source image: https://digitale-sammlungen.gwlb.de/content/175906937X/jpgs/default/00000336.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 42 lines, status machine # Lines: 42 recognised, mean confidence 0.85 # 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. 1.2 F L F N. C U R Y A R U N acque eriam ff = d X. quod aequale est quadrato applicata BF. e. livery, ac proindery ∞ dx 8 ff, acque ry ∞ ff = d X. s Tertio casu, ubi vertex est in puncto D, ac diameterin re- Eta DK, quoniam AD sCu B K est ∞ C: CTIERF, hoc est, BF -L B R ∞ p = 6; _ RBF, hoc eA, BF f BK ∞y. F6. Cumque eo calu Z allumpta sic proy Bc, erit K F _ R BF. ∞7. FA aurem DI seu AB Dx, Parameterque ∞d, e rectangu. lum sub dicta ParAMCErO _E reCtA D R Contentum ∞ quadrato ex R F. vel R BP. Ouare cum hoc quadratum sIE ∞: rectangulum illud dx, crit ZZ ∞ d X. C. AEque Ouarto calu, ubi manente diametro in recta D R vertex est in puncto L, quoniam D L sivC A F CR ∞ Z, CriCL. K (hoc eAt, obserrata triplici distinctione juxta R egulam, DR BDL, aEguC etiaM L D = DK) aequalis x 8 Z, acque etiam = X. qua mulciplicata per Parametrum d, sic rectangulum d X 8ff. atque etiam ff -- A x. quod a quale cAt quadrato applicatae K F. velRBF, hoc ett, 2 y 2∞ff = d X. : eritque proinde Z (∞ d x 8fF, atque Ouinto casu, ubi rertex est in puncto A, diameterque in recta AM, cum sic uE a ad b, ita AB, hoc CAt, x, ad BM: erie BATD =, ideog; M E, hoc eAt, BF -BMI∞y - =, _MBF, hoc est, BF L BM ∞y F =. Fc quoniam eo ca su Z a(AUPEA estprO Y 8 =, CFIE MIF. _ MBF ∞ Z. Ac cum in criangulo A BMI coOnitA SinE X anguluS A BMI, e ratio laterum AB, BMI, dictum angulum comprehendentium, nota quoque cA= racio reliquorum dicti criansuli laterum ad inricem, atque in specic etiam laceris A B ad AM, quae licut a ad.. ACproinde cum sicut a ad es ica AB, h. C. 3 X Ad AMI: CTIE AM ∞ =. Cumque Porro juxta Regulam eo casu sic ut A M ad AB, hoc est, uE C 2d a, ita d ad Parametrum: erit Parameter v . Oud multi plicata per AM Scu = Per rectangulum ∞ d v. Ouod aequale est quadrato axplicata MI F rel MB F, hoc eAt, Z (: ac proin- 5. de est ∞ dX. abo per6 sexti.