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[Lectiones XVIII, Cantabrigiae in Scholis publicis habitae] Lectiones XVIII, Cantabrigiæ in Scholis publicis habitæ, fol. 115

Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German. Mean line confidence on this page: 0.86.

Original at the GWLB · Page image · Annotations (IIIF) · Download text

The machine reads it as

  1. 2
  2. DIOCLA 2
  3. DRevicati limul ac perspicuitari (huic aurem praecipue) consulentes
  4. prxcedentia recto dilcursu comprobata dedimus; qualinon mo-
  5. doreritas, opinor, Patis tirruarur, at ejuldem oriso limpidius apva-
  6. ret. Verumne quis, minus hujulmodi ratiociniis adtuerus, hareat,
  7. ilta paucula subdemus, quibus tales discursus communianeur, quorum.
  8. que subsidio non difficile conticiantur Propositorum demonstrationes a-
  9. pacorica.
  10. I. Sint quorlibet rationes A ad X, B ad Y, C ad Z, Cingulae desis-
  11. nata quaxiam ratione R ad Smajores; erit omnium anteCBdeMEIUM
  12. Timul accePtaruM) ad omnes consequentes ratio major rarione
  13. R ad 5.
  14. A. X. IA. M.
  15. B. Y. B. N.
  16. C. Z. C. O.
  17. Nam sint rationes A ad M, B ad NI, C adO Cinsulx aequales ra-
  18. cioniR adS. ergo X =M; _Y = IN, aCZ = -O. Patet igitur
  19. fore A. L B. ) C. X f. Y + ZC A.s B. f. C. M-s. N, J. O.
  20. hoc est A -. B - C. X. (. Y u Z C R. 5.
  21. II. Tlinc patet, Si quorlibet rationes linsulx delignabili quicunque
  22. majores linc, antecedentium summam ad summam consequentium eti-
  23. am delignabili qua cunque majorem rationem habere.
  24. III. Sic curra quaeris A D B, cujus axis AD, de ad hunc applica- L18. 1740
  25. Ea

Cite

[Lectiones XVIII, Cantabrigiae in Scholis publicis habitae] Lectiones XVIII, Cantabrigiæ in Scholis publicis habitæ, fol. 115. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/797435492:0353?run=74