# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068160:0008 # Permalink to this reading: https://leibnizlegible.com/page/00068160:0008?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 10, 7 # Folio 4v, page id 00068160:0008 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 5r); this page is its left half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068160&page=8 # Source image: https://digitale-sammlungen.gwlb.de/content/00068160/jpgs/default/00000008.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 51 lines, status machine # Lines: 51 recognised, mean confidence 0.83 # 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. inveniendu est calculus sol solas eductas differentialium es umbilicis Ellipseos per solum AV sit 9 EF sit e EG Y FG q.Y Datis lateribus tuanguli DEF, datm lateribus singulis tamen prius di- summadimid _ +r + g- r = _+9 3tia fitanea eva sit area, q in C - 2r-9: 4 3 Summa 2r-9 et C, F. diffia eora rectanguli ex mediis proportionalib, inter duas primas et duas ultimas pars qudta est area trianguli, et dupla dimidia parsest area paralle logiammi s quae divisa per Est autem tr ducatur GN bisecans Angulum ∞GM, patet fore ror pollus ia MGad MG+ _ GF MN ad FM, ut EG seu Y ad EG+FG seu 4. Ergo MN = ...... .. : 29. Est autem GM= =Y = FM = L 4Y. q. Y + g C. C - 2Y -9) M: FM: Gd seu AB. Y: DL seu dr Y: FM ( 1) = ab = drr: drY in C - 2r - q = 4 a 0 - d Y : dr y sigq. rq si t - pr 4 r un - hhec +hhpp = gc+0 12 = 4rrqq- 8r4 + 4r= hhee + app. + trer 9r + 9t- aer++eq equ c +r - 4 tr = Erte -r +g- r Etg - 2Y =4 + r + 9 - r = q - qe 4: 4 seu si ex ponattur: summa e et q2 differentio eorundem quar seu 84 area, quae sit ex di ducta sumnci et omnium differentiarm ex tribus midiatis nempe-su diff. pha 2da seu EG dabit FM seu F M = .. . . . .. . .. 2Y il F-4. seu GM rE et p = r- na fiet p=2 et hh = 49- et