# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/175906937X:0278 # Permalink to this reading: https://leibnizlegible.com/page/175906937X:0278?run=74 # Title: Ps. 2 (shelfmarks Leibn. Marg. 178, Stück 2; Leibn. Marg. 178) # Folio 254, page id 175906937X:0278 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175906937X&page=278 # Source image: https://digitale-sammlungen.gwlb.de/content/175906937X/jpgs/default/00000278.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 37 lines, status machine # Lines: 37 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. 2.54. F L E N. C U R V A R U p prodiametro sectionis, ad quam ordinatim applicatae faciane on- oulos aequales dato rel assumpro AB C, aue ejuldem ad duos rectos supplemento. Quo facto, si per praedictae diametri verri- cem C versus A Parabola describatur, cujus lacus rectum (F ei dem diametro correspondens sit a, quae que Parabola rectam ATipSI B C parallelam secer in L: dico ejusdem Parabolae por- tionem, inter rerticem C de punctum incerlectionis l interce peam, nempe curram C CI, ese Locum quaelitum. Sumpto enim in ea puncto urcunque, reluti D, demilsaque per F pr D F. ipli C B parallela, si eadem D F vocetury, Cum = Cx natu- mihus. ra Paraboles quadratum ipsius D P. sic x quale rectansulo sub FC _ GF, d O F sIVC AO - AF SIE∞ = = X, aC FO DA, FaCt debicâ mulciplicatione, erit ry ∞ bb = a x. Ouod demonstran- dum decerminandum que exat. Ad explicationem au- tem secundae hujus Theo- rematis partis, iisdem ut supra politis, ex A duca- tur AO ip(I B C parallela atque = 2sumaturque C A pro diametro, Xc. peromnia, ut luPFa, exCC Deo quod punctum inter- sectionis LHIE in ReCTA AP. Cum enim duca DH. ipsi AB ParaIlela = CX N2- tura Paraboles rectangu lum Tub FC _ C,II cOn tentum sic aequale quadra- tOOx TID (eU A F, licque Cthren= L aequefCa tacta mulcipli- cacione, ut decet, erir bb = Ay ∞ X H. Quod erat propOlitum. LCCielb per ean. Dem.