# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/797435492:0119 # Permalink to this reading: https://leibnizlegible.com/page/797435492:0119?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 71, page id 797435492:0119 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=797435492&page=119 # Source image: https://digitale-sammlungen.gwlb.de/content/797435492/jpgs/default/00000119.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 36 lines, status machine # Lines: 36 recognised, mean confidence 0.84 # 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 C F. Z. _ demirratur N Q ad A C perpendicularis; erie C9 =F= B NaM. (UE supra) est C A. CR:: F. F. quare dividendo erit C A CR. CR:: F - - F. F. Item hic erit A N9- AC9 = 2ACXCO .+ C Ng. adeoque 2 AC XC O + C Ng. CN9 :: A C. CR. HOC eAt, (ob CN 9 = 2 A C. X E,) 2AC.X C. n= 2AC XF. 2 A C XF:: AC. CR: hoc est C 9. 1 F: F:. AC. C. R. quare diridendo C.. F:: AC -- C R. CR. ergo F = F = C : D. E. D. IX. POrrO; Si duorum quorumris radiorum AH, A R relleri. NR, R L axem Sccen punciis R, L; erit CR. CL:: AR9 - AC 9. A:N g -- AC9. Nam ob CR. AC:: CN g. AI 9 AC9. e AC. Cb:: AA9 - AC9. CN9. erir exxquo perturbate CK. C L:: AR 9 - AC g. AN 9 - AC 9: X. Hlinc Si radius AR sic ipIo A N obliquior; erir C R ~C. lui Nam AR9 - AC9. 1AN9: AC9. XI. Eine palam est. reAexOS. NR, RL. Pese prius quim axem decussare. ZII. Accipiantur porro bini pares arcus NIR, RZ. Sc inciden. tiur AN, A R, A X retlexi cum axe conveniane punctis R, L, M, dico spatium LM, obliquiorum occursibus incerjectum, majus esse spario I.K, quod rectiorum concinetur occursibus. Nam e supra monstraris constat esse AN q + A R g 7 2 A Rg. proindéque (0- Fig: 102. re ANg. + AX9 - 2 AC9 T. 2 AR9 - 2 ACg. ac inde AN9. = A C 9 AR9- AC9~ A R9 - ACg. AX9. AC 9. hoc est: C L. CR ICM. C L. vel C.M. CLB CLa CNin Quare C. M - t CRL 2C L. _ ided L ME-RL: ZUII. Hinc rectius ingruens lux a retlectione vensus arem conden Patior evadic. Al. ulum denutrucias ex lulo luteldullau Msbs. si ilales circa reslerorum metam Z, oculo ulpiam in RL consiruro, apP2 rere ousxiam in Z. B collocao contuliorem appmrentiam objici quipre 111 Gum. arcaram Laneta ta quolenette depeetm. dei.