# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/175906937X:0291 # Permalink to this reading: https://leibnizlegible.com/page/175906937X:0291?run=74 # Title: Ps. 2 (shelfmarks Leibn. Marg. 178, Stück 2; Leibn. Marg. 178) # Folio 267, page id 175906937X:0291 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175906937X&page=291 # Source image: https://digitale-sammlungen.gwlb.de/content/175906937X/jpgs/default/00000291.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 57 lines, status machine # Lines: 57 recognised, mean confidence 0.72 # 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. Bi nete djur en 121 Gura Sule L F B. II. C A P. II. cc0 nempe per latus rectum, reddit- que CB X u 2 2ab: unde F C. Fic Demonstratio. 6C a at Rectangulum FO B ∞ BD quadrato, erso =CC = by ∞ vr, rel by ∞ VV = =66, hoc eA, b y ∞ ∞ x + 26y X c9 +C0 166. bby7 Ouocirca deleris delendis, Factâque decentitranspolitione, AeF 60 +- by - provolicum. e a Exemplum reductionis aegnarionum ad formulam Theorematis IX. Sit aequatio py - Bxy BbXX 4Aa = CC, ANUIAEUL X. C. Du juxea Regulam Z ∞y - + - - - 6, eriequey ∞ Z 2 28 substicuto in locum iplius y, ex ejus quadraro locoyy, tient ae qua- tionistermini, ue sequitur: Z3 A X - -- - 266. Facilicaris 2A erGOPTOA=-Scribatur d, Supponendo a esemajorem quam- ea 2a eritque aequatio Z7∞ d x - 366. Ec apparet eandem reducta esse ad Formulam Lheorematis IX, ac propterea Locum quaeli- cum esse Parabolam, quam exiis, quae jam explicata sune, deter- minare ac describere Facillimum erit; ut ex sequenti ligura iisque quae luper eadem brericer annocara lune, collisere licebir. Determinatio Loci. 26) Sicim i Puetu s A F indetinite ∞ X. F. D omnesque ipsi parallela ∞ y. LaRreALD alo Gua) Coeenetdedem. 2