# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/175906937X:0224 # Permalink to this reading: https://leibnizlegible.com/page/175906937X:0224?run=74 # Title: Ps. 2 (shelfmarks Leibn. Marg. 178, Stück 2; Leibn. Marg. 178) # Folio 200, page id 175906937X:0224 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175906937X&page=224 # Source image: https://digitale-sammlungen.gwlb.de/content/175906937X/jpgs/default/00000224.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 44 lines, status machine # Lines: 44 recognised, mean confidence 0.86 # 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. 200 F L E M. C. W R Y A R U H I HH E O R E M A XI. proposiio. X2. Boles dIaMCETO OCCUTTAE, acque a puncto cOnFICIS recta 2d candem diamerrum ordinatim appliCetur; e- rit rectanoulum sub secunda diametri portionibus, a cenrro per contingentem applicatam que abscisIS, X quale lemi-secunda diamerri quadrato. Ouamcunque FIy perbolam R C, cujus AsymPtOTI AD, A F. concinsat in puncto C, utcunque lumpto, recta FC L, Occur- rens lecundae diametro AB, urcunque duetx in : dico, li ex C E ad candem diame- trum AB ordina- cim applicetur recta CB, _ Cx A eidem aequidistans ducatur AKTI, SCCanS COn- tingentem LC in lFlyperbolaeque OCCurreNS in R, aF- que per R recta d- BATUIE D K G ip(I AB parallela, (ita AE = AKII diame- ter lic secundx dia- IMCErO AB COnjuZZ ta ac Femi-secundae diamerri magnitudine sine RG, KD,) Forerectangulum B AG aequale ipsius RO vel R D Pemi-secunda diametri quadrato. Dueta enim per C recta T CM sccunda diamerro A B paral. ela, ideoque ad incerceptam diamerrum A K II ordinatim appli- jus, ex Cor. eroera OeCurrat in T diametroque AITin FI; A- 20 sexti. 3 per 4 e 22 Senti. (yIPEOTO VerO A F in M: Ouoniam est= HI A quadracum ad E A guadracum, sire: EI M quadrarum ad X C quadratum seu Si quaeliber contingens ceuicunque secundxe Flyper- per 7 hH. sus. Dde TTBuI