# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068195:0164 # Permalink to this reading: https://leibnizlegible.com/page/00068195:0164?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 12, 2 # Folio 82v, page id 00068195:0164 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068195&page=164 # Source image: https://digitale-sammlungen.gwlb.de/content/00068195/jpgs/default/00000164.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 67 lines, status machine # Lines: 67 recognised, mean confidence 0.80 # 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. sD Pigranis AB duti (idiatio, et pum a, et perp. ad ad, Bpad atque in plono BDF ducenda FLinormalis ix busa pucatur b porgilis ad FB inaguntur AF, AB. qua t IF go B. Ergo) aa dis ponut et ad ur. Non videtur simul pp.. Fraeque rd ost eus, eneme ornalis B) ex puncto dato in plano perpendicularem ducere t adt rectatu extra planum positione datam datur Fd, datur AB perpendicularis ad planu cui paralleta In fie In: nd: dl:: AB. Bd: Ad ncatur perp. ad D erg Aerdi dn: ur:: gd: db eta prpo ad Bd si Y quperr ad FD. erit aequin In +rn rarsus tr itf In: nd:: AB: Bd. ncl: nX: DB: Bq Ergo ln: nN:: AB. DB: DD. B8. Ergo lr:m:: 1 pe e sae Ergo br t. lr:nr:: SAB+Z BqB at nr: Yd:: B9: 4D. Ergo Ir. rd:: AB : 2 seu lraego Yd (AB, Bqr: 2D s Ex aego ra AB+B2: QD. et quia l ide prop. inter Ererre. eut a ra F Fngo BAQ, AB+BB,: gDEm E r AB aqu. FB Ergo poaequ. DGB (EDL AC+B2)eFAVoC sed r. Dt: PL: FB AB+ BF aequ A Est est aulem constans perpendi. cularis ad planum BdF ergo datur AB datur et BF, DF ex natura curvae simililer est AC constans per pendicularis ad planum CEG quaeritur relatio inter CE et CG. Dantur autem rest DRtem rectae AB, AC, AD, AE, Laequ Ird. F n BL aeg. FD. 2D seu DLaego FD. 8D Nota duto datur ergo et AF et ut perpendiutar duximus ep Ad extraplanum. a s auu (AD +2DQ et 60, CE