# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/797435492:0284 # Permalink to this reading: https://leibnizlegible.com/page/797435492:0284?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 64, page id 797435492:0284 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=797435492&page=284 # Source image: https://digitale-sammlungen.gwlb.de/content/797435492/jpgs/default/00000284.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 46 lines, status machine # Lines: 46 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. l. E CT. VTTE. F CS, F HI interceprae pares interc eptis ab F B, F C; hoc est minores incerceptis a curvis FT, FL, hoc el minores intercepris a curre FZ, C recta P A; quaproprer angulus X F A rectilinco H FC ma- jor eA; unde recta. F A curram FX non ransit, contra L 7. porhesin. IV. Icidem, TAnGAE reCta E A Curram F Z, _ (INE duX CUrrK FY, PZ cales, uc ab altignato puncto D urcanque ductâ recta tL quae lineas expoliras secet ut vides) (uc Temper KiL. =lC, curra EP, LZ sese tangent. Nam, lineges, his interseratur angulus rectilinem B F. C; quem utcunque a D projecta lecet recta DL; (a) Porest jam ab F recta du- ci (.Puta FH) calis, ut sinc e projectis a D a rectis FC, FH inter- cepexe minores interceptis ab iplis F B, F, C, hoc est mulco minores in cercepris a recta E A, curraque FX. Unde sequetur angulum A F X rectilineo C. F HI majorem este; ac idcirco rectam A F non contingere curram FX, adversus Hypothesin. HIx praecedentes dux C’onclusiones verx lune, de simili ratione de monstraneur, Polito interceptas IC, R L. quamris ad se perpetim ha- bere proportionem candem. Parco verbis. Propoluimus hxc, ue sequentium nonnulla a scrupulis munian- TUF. V. Sit recta V F I, duaeque CurrX Y F N, ZCO sic ad se relaca, ut ducta utcunque recta P tiC ad politione datam AB parallela, ha- DCAHLINTETCCDEX P. C, F. F semper eandem rationem inter sC; tangaL autem recta P C currarum unam ZCO in C (cum recta V P cOn veniens in T). ducta T E alteram Y P N quoque continget. Nam urcun que ducatur recta IL. (lineas expoliras ut rides interse- CanS) EstigiturIL. IN (A) C IO. IN : : FG. EF:: IL. IR. Tsitur IN TR. ergo punctum K extra curram Y F H jacet; coTa4; recta TF. Aliter. EAIL. IR:: (IO. IN:: IR- 1O. TK - IN::) OL. NR, ergo cum linex CL, CO sc (6) rangant, (∞) etiam li- C) Schol. 4. bt. BEx F N, F R sese TanB CnE. ul alleta urcunque recta L.S. C ad politione datam parallela, sint sem- Der E C,, L LM CadeM Ta IBHC, COnCUTrAnE autem duarum X E. NI, Ll. tatis CteS. F +, Co L I L; adjuncta L F curram Y F H car Nam R18. 79. VI. FEiam BEres CurVX Z EM, YEH, ZCO ita reterantur ad se, Ctio (4) 20. L. CCt. IV (6) Fyp 3 iB. 8C