# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00067993:0457 # Permalink to this reading: https://leibnizlegible.com/page/00067993:0457?run=44 # Title: Leibniz-Handschriften zur Mathematik LH 35, 2, 1 # Folio 228r, page id 00067993:0457 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 227v); this page is its right half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00067993&page=457 # Source image: https://digitale-sammlungen.gwlb.de/content/00067993/jpgs/default/00000457.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 44, 2026-08-27T14:25:39Z — 35 lines, status machine # Lines: 35 recognised, mean confidence 0.73 # 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. potentia vero Hyperbolae inscripta, sive quadratum inscriptum quod rectangulo sub ordinata quaunque eA ut EH in suam abscissam AE, semper aequale est, sit ABCd. Circa hoc quadratum usque ad H, ut sit AE dupla ipsius AB, tunc posito AE esse Unitatem erit AB, L et ejus quadratum ABCD erit L, et circulus curcis quadratum potentia inscripta est quadentum hoc quadratum ABCd erit + L + L &tc Hyperbolae vero (cui potentia 99 nnscripta est idem quadratum ) portio CBEHC quae logarithmum rationis ipsius AE ad AB, sive binari, repraesentat, erit + t esc. 5 Nimirum in figura 5 Asumptotis AF. AE. sibi normalibus, Hyperbocu uta disriptu ge A, cujus mertex rec me describatur circulus, et ponatur Hyperbolarta continuata a C a 12 B -qu. -12 F1 c 4 d u. 2 = ∞ -)a -16.- vido ∞ - 10. - 1x. + ∞8 (5 - 1 - 18. ∞ F ∞ -1F. 10∞ i -ln - 1 -15 ui -18 -1 42 ~ -1 -. m ∞ ∞ - 10. -10. - ( e 4 in -1 -10. -1_i ∞ gaud lus AV