# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/175906937X:0251 # Permalink to this reading: https://leibnizlegible.com/page/175906937X:0251?run=74 # Title: Ps. 2 (shelfmarks Leibn. Marg. 178, Stück 2; Leibn. Marg. 178) # Folio 227, page id 175906937X:0251 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175906937X&page=251 # Source image: https://digitale-sammlungen.gwlb.de/content/175906937X/jpgs/default/00000251.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 42 lines, status machine # Lines: 42 recognised, mean confidence 0.91 # 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. L F B. I. C A P. III. Ep D ComaC, diametroque I occurrarin F, ec ad eandem diametrum ordinatim applicata siED C, rectangulum C AF. qua- drato lemidiametri AC aqualc essc. Corollarium. Fx dictis perspicuum est, quo pacto à dato quolibet puncto ducenda sitrecta, quae Fllipln continsat. Si enim dacum punctum in ipla curra sic, reluti D: jam supra 2 = in Cor. 16. Octenlum est, quo pacto per dictum punctum continsens ducatur. Bujus. Duod tamen ee hoc quoque modo per praecedens Theorema perticietur. Ducta ex D ad inventam diametrUM C: I recta ordinatim 2 per 2 Cor DC, hiac rectangulum C A P. quadrato Lemidiaetri A G ∞ qua- IS hujus. les jungaturque P D. AEL exEra FIlipEm Sic datum punctum, uE F.: duet a ad A cen- erum 3 recta F A, qua Flliplin Secet in C, quadrato AC aequa - 3 inventum le fiac rectangulum F AC; ac per C ducta ordinatim applicat à Per 2 Coroll. T5 Bujus. C D: nimirum, quae aequidistet contingenti qua per C duce- + juxta Cor. reTUE S, OCCUrraEque FIlipSi in D, jungatuF E D: ericque haec ip La 27 hujus. tam priori quam posteriori calu s contingens quae lIta. A puncto autem intra Fllipln dato non posse duci recta, quae 5 Coroll. 14. eandem continsat, manifestissimum est. Atque ita me compendiose via latis plana ac maxi-jus. me naturali, ab (que ulla solidi consideratione, Ele- menta proprietatesque praecipuas Currarum, quasVe ceres coni sectiones appellavere, tradidisse contido. L. quibus principiis caecera omnia, qua ad Parabolam, Flyperbolam, vel Elliplin pertinene, ab (que ulteriori manuductione facillime deducct, quicunque animum iis debire applicuerit, atque in Gcomerricis per (c ad Ulteriora prooredi valcac. Adco ut eadem cractandi Methodo hisce diutius inhraerere superracuum pucemm, pexelertim cum insionis e sublimior quaedam scientia lupersit, cui Veteres enixissime incubuisse ex quorun. dam relatu ac nonnullis antiquorum Creometrarum tragmentis manifectum est; quae que tam ab iildem Qua 5 per praece- dentia, aut hajus. per L8hH