# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068126:0150 # Permalink to this reading: https://leibnizlegible.com/page/00068126:0150?run=73 # Title: Leibniz-Handschriften zur Mathematik LH 35, 9, 2 # Folio 75v, page id 00068126:0150 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068126&page=150 # Source image: https://digitale-sammlungen.gwlb.de/content/00068126/jpgs/default/00000150.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 73, 2026-08-27T15:28:38Z — 28 lines, status machine # Lines: 28 recognised, mean confidence 0.94 # 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. in differenter tractantur, hunc sequitur permutatis licet focis ut alter pro altero centrum circulationis attractionisque fiat eandem in quovis puncto manere rationem circulationis ad decensum seu ad vel ocidatem paracentricam. Jau ex puncto ellipseos 3 Magatur in axem ordinata Mormalis (cilitet) 3 MY natet (19no) rectang; ex 3M) vis in FO aequari duplo Triangulo 3 MOF adeoque (per 12 veli aequari (20 mo) ipsi BC in dimid. SF qu-5 qu’seubris 1i5, 3 M Y in FO est ad Be qu. ut (0F - 08 est ad B6 Sed et (per 16) erat velocitas circulationis ad Paracentricam ut 0F qu= 0∞ qu’ad Be ideo fiet (20 mo) para centrica velocitas adcirculatoriam in ellipse, utbis 3 MY in FC ad BCqu. Seu ut dupla ordinata ad distantia focorum et aximenori tertiam proportionalem. Et proindes mo in ellipsi rationes velocitatum paracentricarum afocum resplecentiura ad circulatorias respondenter sunt ordinatis proportionales seu quod idem est rationes velocitatis qua planeta accedit ad solem aut ab eo recedit ad velocitatem ejusdem simul circulandi circa solem sunt distantiis planeta a linea absidum proportionales. Atque ita si una ratio accessus recessus ad eoexistentem circulationem sit duplicata vel triplicata (etc.) rationis quam alius accessus vel refessus habet ad circulatione. sibi eo existentem; erit logarithmus ordinatae à priori mobilis loco in axam ductae duplus vel triplus logaritm ordinatae a posteriori mobilis loco in axem duetae. Rationes Scilicet