# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068154:0022 # Permalink to this reading: https://leibnizlegible.com/page/00068154:0022?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 10, 1 # Folio 11v, page id 00068154:0022 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 10r); this page is its left half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068154&page=22 # Source image: https://digitale-sammlungen.gwlb.de/content/00068154/jpgs/default/00000022.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 43 lines, status machine # Lines: 43 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. naut eribri fugue a contro conatur recedere per tangentem quod mobile P ex eo orti, quod mobile, ec qu l99 ee = m eer + 4rg -99 ponmus essesen l 94 tec + Mgq - mec h r r. = ax qLX- Am rr hocaequila divulatur induas, et fiat lem 99- ee - hnrr = 0 seu et fiet 49 = hx + 4Y. seu h = 4q. r: Y, et suet lem qu- ee =amrg seu lam: m :: 4 r. q- Y: qq ee possumus ponere et r, sed hoc non semper procedit faciamus-lee= mee-turr. seu lem ee = 4mrr seu rx: ee:: l+m: 4mi fint 194 = mr A - q) Ergo l= amr= g. 9. Ergo rr: ex 4mr-g + gm amq quod si ponamus in fiet rr: ex rg seu ee =rg si faciamus _ 2r - 9 = 0, seu diffea ipsas rdios rectas a socis esse aequales fiet l 94- ee = mée, seu mee + lee = 199 seu C:g.: fl. t+m seu mtl: l:: 99: ee ituque ratio in ad l seu ratio circulationis ad descensum seu m:l = 99- ee: ee est vel ascensum in perthalio seu minima digressione ble est ut quadratum in minima degressione a centi Ellipseos, est ut quadratum axis transversi ad quadratur distantiae focorum comparatio descensuum inter se: Descensu ad suam circulationem A est ut nod prop. inter tum et diff e et ) et daxem linsversum: circulatio ad A ad circul. B est ut rad. B ad rad A circul. B. adi descense B. est ut ex trausvers. ad sumu e diff med. prop inter suum et disf e et p(B) Ergo descensus A ad descens. B est ut mod prop. inter sum et dis rcdB and axtinue e et p(A ax. tausveis. ergo descens. A: descens. B.: med. prop. nter sum erdiffe et P(1) in rad A) in A misp ergo descensus sunt in ratione oit e er ps ex giH. C et PiA) in rad (B) Ca AB