# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068073:0078 # Permalink to this reading: https://leibnizlegible.com/page/00068073:0078?run=73 # Title: Leibniz-Handschriften zur Mathematik LH 35, 7, 1 # Folio 39v, page id 00068073:0078 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 40r); this page is its left half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068073&page=78 # Source image: https://digitale-sammlungen.gwlb.de/content/00068073/jpgs/default/00000078.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 73, 2026-08-27T15:28:38Z — 40 lines, status machine # Lines: 40 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. Q hevicer Curva cujus fuuctio aliqua xtra tangentes, an et cum fuuctionibus ad tangentes. san determinatur ex dato orcu, et recta, ea conditione ut cura illa simctio destrni seu infinite paria reddi possit, arcu non destructo, habebitur eo ipsus arcus alicujus dimensio simtis ergo curvis quarum puncta ex ruu et rectis cognato seu ex Carcubus magnitudine et positione fintim fine datis determinantur calcubo ex hour quales sunt spirale cyelvi Rrochoides evolutae, productae quadratrices, aliaeque id genus tulta ex quadratura circuli vel longitudine arcus Verivatae. Apparebit ex figura quomodo functiones duci possint tales ut sunctionibus functione in nihulum desinente, mihilominus arcus + non evarescat, seu non fiat nihilo aequalis tantum cavendum lestne ex calculo evaneseat seu inde proveniat venique aequatio identica quod unicum impedire calculi mostri successum potest in spirali nostra supra dicta, ducamus .ijusque longitudinem quaeramus ex dato arcu 9)9B. Ex 1) demita in AC perpendicularis 1V.ch et ex 1B perpendicularis. Y O6 Friangula Civ. V, et C. 1 1β3 similia, et daram rectas 1V1B, Ciβ, C1t dabitur et , nam 11)) aequ, 1V, B, in C1) 119), arc 2.β aequ (1β, seu rad arci quadrant