# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068199:0137 # Permalink to this reading: https://leibnizlegible.com/page/00068199:0137?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 2c # Folio 69r, page id 00068199:0137 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068199&page=137 # Source image: https://digitale-sammlungen.gwlb.de/content/00068199/jpgs/default/00000137.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 54 lines, status machine # Lines: 54 recognised, mean confidence 0.75 # 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. sit figura cujus abscissa X, ordi nata y. et quaesita du, tunc du datur et da moax dabitur etiam xdus, adeoque ydae ut notum jam ut sxcofax ligurai irsarum sit momentam ipsius co ex vertice, appiarum dX i, et vero hoc detur daro momento omni complementi hujus figurae, seu aeqoa sed data xex deo. Ergo si summa omnium XX per co expressarum haberi potest haberi etiam poterit summa omnium y per X expressarum, t vel 2 homnium x per y expressarum A a aequ ex u ex n l+ dl n 2d n d (1) 4) Idue tum stdm 2Im +esI dm + ndl) = sma dl 2m sml sit m ago aa + b XX et laequ aa + cxy et m H L m a in M(+)am Sa dst aego =1.. ds - aego= ds- st qug. frer am aequ. 2bX dx: et daego rex et si S aequ. g. erit co aequ. ) aa + CXX, = a a +l 2CK V Ergo datas omni m ex co. daturperx eH es 2aa + bx K Vaa +bxx. tex otra. Item datis sibus Cok 2Z X as aego ya1