# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/797435492:0299 # Permalink to this reading: https://leibnizlegible.com/page/797435492:0299?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 75, page id 797435492:0299 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=797435492&page=299 # Source image: https://digitale-sammlungen.gwlb.de/content/797435492/jpgs/default/00000299.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 30 lines, status machine # Lines: 30 recognised, mean confidence 0.87 # 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. Eit rectus, erit CUrrA SF F Cissois alterius generis Cissoidalis. HlOc autem et austo BCHCHIHSO. Ll1 Jaut pduS vos derInCDO. aris, Teu Dioclea, alioquin 20 820 ECT. Acticucum circa ransentes resorium adhucurgeo. I. Sic curra guxepiam A F. C, nec non alia A F I sic ad illam rela- F18. 1040 ta, ut ducta quacunque P P ad politione datam AB parallela (quae curram A F.C SCCCF in P, curramque A F Lin L (lit perpetim L F aqualis CUErA A E C: ab A interCeptO arcui A F; tangar autem recta FIcurram A PC in P, CIque P. P aequalis arcui A P, e connecta- cux recta TF; haec curram AF ItansCE. Nam ducatur urcunque recta C R ad A B parallela, lineas provo- litas secans, ut cernis; eAque CR == CHI. (. HIR = C 1I, I. IIT (a) C arc. AC = C I; unde DunCtUM R CXETA CUEVaM A FI (I. (a) 22 Tect. rum est; adeoque recta Y K iplam cangit. IF. Ouod (I recta F. P quamlibet ad arcum A F. rationem semper eandem habeat, nihilo secius recta FT curram AF IrangCF; WE Cx hac, _ octara Lectionis serra manifectae consectatur. Elxc anrea pridem alicer ostendimus; ast haec demonstratio simpli- cior aliquarto videtur, es clarior; methodoque quam insinuauS ae comodatior. III. Sit curva quaepiam A O F, punctumque defignatum D; (It sic semper intercepra P P par arcui AP; tans arque recta L. P curram ACF; OPOTtEE CUEVX AIF Tancemem (ad F) delienare. Fiat TF = arc. A F; Citque curra TR E calis, ut duetâ utcunque eD) recta DK (guxe curram Y K F secer in R, rectamque Y L in L1) VI 10r.