Leibniz Legible

Machine transcription of the Leibniz Nachlass

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Qua Continentur De Angulo Contactus & Semicirculi, Disquisitio Geometrica. De Sectionibus Conicis Tractatus. Arithmetica Infinitorum: sive de Curvilineorum quadraturâ, &c. Eclipseos Solaris Observatio, fol. 72

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: 0.89.

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The machine reads it as

  1. De Sectionions Conieiso
  2. PROP. ZXXI
  3. De Ellipseos Diamerris.
  4. a Puncio quoris a in Ellipseos curra Aa, duca-
  5. tur ad Cenerum C recta aC; erit haec ejusdem
  6. Mllipleos diameter, cujus vertexa, ejulqu Or
  7. dinatim- applicatae rectae ixii a F, elliptm in puncto
  8. contingentis parallela.
  9. Libechanc proxositionem (ut prius proD. 24.) primo An-
  10. cH, PFOP. 29.)
  11. lyrice examinare, deinde _ Syntheri
  12. ce demonstrare.
  13. Supponamus isitur rem esse uE per-
  14. hibetur; adcoq; inCcriptam quamlibet
  15. OOcangenci aE parallelam, a recta
  16. aCs (per contactum D centrum tran
  17. Ccunte) bilectam in E. Sincq; rect
  18. OD, OD, aF diametro AF ordina-
  19. cim applicacae, adeoq; inricem paralo
  20. delaes quibus etiam parallela aucacue
  21. EC eidem diamerro in c OcCUrrene,
  22. dua proxeerea (ob parallelas) bile
  23. cabic (nEOO in E, SIC) DD in C. DC.
  24. BIg; reCca OO, diamCErO AF, (urrilgs
  25. s opus cA produecis,) Occurrat in 6.
  26. (Salcem ( Parallela tic, uc non polsit
  27. Occurrere; res ipta jam demonstrata
  28. Supponemus etiam inpeaelentiarum, verricum A a C diame-
  29. ErI AE,) verticem A propiorem, a remotiorem, PunEtOF: 1-
  30. tem punctum e intra puncta a C incidere: rectamq: O0 dia-
  31. MetrO AE. producta exera FIlipEin occurrere: Si aurem horum
  32. alicui contrarium continsar (quod quidem heri poreAt) nihilo
  33. Eomen MiNUS res succedet, mucatis cancum aliquories signis
  34. quod operationis progressum neuciquam curbabic.
  35. Dicantur aurem (oh commodiorem calculum) Fa = C, EA
  36. =B
  37. DROP. 320

Cite

Qua Continentur De Angulo Contactus & Semicirculi, Disquisitio Geometrica. De Sectionibus Conicis Tractatus. Arithmetica Infinitorum: sive de Curvilineorum quadraturâ, &c. Eclipseos Solaris Observatio, fol. 72. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/824573315:0156?run=74