# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/797435492:0016 # Permalink to this reading: https://leibnizlegible.com/page/797435492:0016?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 - , page id 797435492:0016 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=797435492&page=16 # Source image: https://digitale-sammlungen.gwlb.de/content/797435492/jpgs/default/00000016.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 38 lines, status machine # Lines: 38 recognised, mean confidence 0.85 # 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. n vee d retex i ut a ite e e i i i indi uti ti sdie n iire itit eo i uti i eti ii ieo Brevitatis gratia notae quaedam adhibentur, quarum hie subjunsitur interpretatio. A 1 B. Boc est A e B simul ACCCPP a. A -- B. RXB. o A A. B.: C. A, B, C, D. A, dempta 3. diffeencia ipsarum A, es B. amuitiplicata, vel ducta in B. A divisa per B, vel applicata ad B. A aequatur ipsi B. Amajor est quam B. A minor est quam B. A ad B eandem rationem habet, quam C ad D. A, B, C, D sunt continue proportionales. A. BC C. D. A ad B majorem rationem habet, quam C 5d D. A. B C. D. A ad B minorem rationem habet, quam C ad D. adaequant Lexcedunt Cratione M A. B -I - C. D= (M. NI. Pariones A ad B,) AC a A9 - B9. S C ad D composita Ouadratum ex A. deficisont a Latus, vel radix quadrata ipsius A. CMbaS ex A. Latus compositi ex A ge B9. ad N. Reliquas, si quae occurrunt, abbreviaturas Lector facili conjecturi capiet, praesertim in analysi tantillum versatus. A: E A 2