# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068073:0159 # Permalink to this reading: https://leibnizlegible.com/page/00068073:0159?run=73 # Title: Leibniz-Handschriften zur Mathematik LH 35, 7, 1 # Folio 80r, page id 00068073:0159 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068073&page=159 # Source image: https://digitale-sammlungen.gwlb.de/content/00068073/jpgs/default/00000159.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 73, 2026-08-27T15:28:38Z — 44 lines, status machine # Lines: 44 recognised, mean confidence 0.95 # 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. mo hene a un plan- ligne surface plane, courbe, par exemple les Elemens de T. du Compee Partabolique Convei de parabolique sunt en raisor des ligne sur face, solide. un solio a unic onner solide homoq ene, Eodem modo invenori pts solidum icidius applicatae int in ratio Elementa seu plana secundum axeu sint in ratione appli appliquees ou Triangle, hyperbolae, seu rectnaram nguli ulti in ratione altitudinum Conocides Hyperbolocidicum generatum esse rotation circa suum axem figurae, cujus appli calae sunt in ratione altitudiuum reci– cutaruum proca sub duplicata num harum applicatarum quadrata, erunt 20 ratione a Ergo et circuli applicatarum rotatione facti Hoc erit reliproca. sic Methodum generalem solvendi hoc problema: Datae figurae Nimiru Figura cujus Et plana cujus altitudinum reciproca lementa sunt in dupli subduplicata ratione figurae planae datae, rotetur conveides proportionale exhibere. circa suum axem; et eru Conocides productum erit figurae plunae datae tubemus, planae Hinc habemus Methulum datae milibet figurae planae exhi– autem converdicam datae figurae ipsius figurae datae descripto linoeide. Itaque etiam Seperficiem proportionale. bendi solidam proportionalem. cuilibet figura planae superficiem curvam proportionalem exhibere possum proportionalem exhibemus Lineae etiam uilibet propostionalem fignrani curvam exhiberi posse constat Hoc autem convides secando aliters habebuntur aliae series quae ad priorem reducentur