# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/797435492:0322 # Permalink to this reading: https://leibnizlegible.com/page/797435492:0322?run=74 # Title: [Lectiones XVIII, Cantabrigiae in Scholis publicis habitae] Lectiones XVIII, Cantabrigiæ in Scholis publicis habitæ (shelfmarks Leibn. Marg. 0; ZEN Leibn. Marg. 0) # Folio 94, page id 797435492:0322 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=797435492&page=322 # Source image: https://digitale-sammlungen.gwlb.de/content/797435492/jpgs/default/00000322.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 35 lines, status machine # Lines: 35 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. t e le d tas NV TCTIVa I. Um pridem ante plures annos illustris Viri, Christiani Tlugeni Cpolomerrica lustrarem, ac in eo verlatus adverrerem ad id nesotii duaspraelertim ab ipso methodos adhiberi; quarum una Cir- culi seementum duobus parabolicis (uni inseripto, alteri adscripro) medium esse monstrans, illius inde magnicudini limites praescribie; altera Paraboliei seementi, e Parabbelocrammi aeque altorum cen- eris gravitatum medium interjacere centrum gravicaris circularis leg. menti octendens, alteros exinde limires, adsignat; incidir mihi cogi- cario posse loco parabola in prima methodo, nec non vice Parallelo- Srammi in secunda, parabolitormium aliquam circulari segmento cir cum seriptibilem ulurpari, sic ut res aliquanto proxius actingatur; id mox verum esse re perpensa comperi; quine prarerea norari Facilesup- Pares methodos Fyperbolisi seementi dimensioni accommodari. Ouo- rum demonstrario (prae aliis fortalle, qua exeosirari ponent) brevis de clara cum e supra poticis consequatur aut pendeat, eam (alioquin opinor haud injucundam) hic visum est apponere. II. Adlumimus auremtxec perrulsara; quorumque demonstrario- nes e praemonstratis haud difficile variis modis colligantur. (I parabo- liformis B A E (cujus Axis AD, Basis vel Ordinata BDF, Tan- gens BT; Gravitatis centrum R) exponens Lit; exir Area BAF M- (. m ADXBE; ∞ FD = AD, B. RD = n. 27 AD. TIT. Sint AuIX quarIS CUrVX AE B, AFB Cquarum communis axis AD, ordinata DB) ita se habentes, ut duet a quacunque recta F F C ad BD parallela, gux lineas expolitas punctis F, F, C3 sccet, po. sitoque quod rectae FS, FFransant curras; (illa curram AE B, haec iplam Fi9, 133. Fr. 134.