# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068126:0147 # Permalink to this reading: https://leibnizlegible.com/page/00068126:0147?run=73 # Title: Leibniz-Handschriften zur Mathematik LH 35, 9, 2 # Folio 74r, page id 00068126:0147 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068126&page=147 # Source image: https://digitale-sammlungen.gwlb.de/content/00068126/jpgs/default/00000147.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 73, 2026-08-27T15:28:38Z — 34 lines, status machine # Lines: 34 recognised, mean confidence 0.88 # 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. 3c .q1 a lin 1. ad 10 prous qua impressa sunt sie scribatur 3 Md flO, O3M, esse ipois 3 M L2, 2 D2 M 2 M3M hoc est velocitati circulationis velocitati paracentricae et velocitati toli en ipsa orbita proportionales in 2- Ponatur anim 3 MJL ipsi O2M occurrere , patet ob angulum dL3 M2 M rectum (nam areus massignabilis 2 M 3 M habetur pro linea recta) 1C esse triangula et 3 M 222 M similia angu, CH lum 3 M2 M2 D aequalem esse anguloid est angulo 3 MO)L (quia angulus 3 Mo 2 M est inassiquabilis seu infinite parous) itaque tri angula sunt 3 M3C0 et 3M2 Dt similia. Unde sequitur proportio assignata. Sed jam estendendum est rectas 3M3t, =LO, C3 M, se habere modo dicto: Juia 3MH recta ex constructione, normalis est ad 3M2 M, arcum Ellipseos (aut sectionis conica ingenere) esusve tangentem inpuneto 3 M ideo (primo) aequales sunt ex conicis) anguli fl3 M F, et 3 MO, similia igitur sunt (2do) triangula angulos ad Hl et 4 rectos habentia 3M3LO et 3 MaF. et posito F0 a 3M ecari in A est (3tio) OR ad HR latera MHC quippe trianguli O3 MF cujus anguly ad verticem est bisectus. Traterea (4 +o) et triangula OdR, FQR H ut 3MO a BMF segmenta scilicet haseos CF ut latera 3MO, 3MF