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Disputatione Mathematica Numerum Perfectum Perfectissimi Favente Gratia Nec non Benevole Inclyta Facultate Philosophica Indulgente A.C. MDCLXXVIII. ad d. XXI. Sept. P.P. M. Johann Wilhelmus Pauli, Lipsiens. Philiater, Responsuro Johann-Luca Rhiem/ Coburgo-Franco, Medicinae Studioso, fol. -

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: 0.93.

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

The machine reads it as

  1. quoque perfecti, ne senario quidem excepco, in sud serio Forene
  2. conspicui.
  3. 5. XIX.
  4. Perfecti tandem Numeri Adiundis, quae non propria qui
  5. dem. sed Pallem communia, pariter concemplanda rectant, non
  6. immerito eorum iplorum accensetur paucitas, quae, cestante §. 17.
  7. tanta est, ut 10, inter _ 100, 100. X 1000. unus unice existat, nec,
  8. obterrance quogre Ramo loc. alles. Singulis gractibus plures uno
  9. perfecti, imo Bracibus nonnullis nuIII inVeNIANCUT. AC OIMMINO
  10. ab unitate ad 140000000000000000. ulqre plures gram septem
  11. Pertecti numerari negreune Numeri, secus, ac seneire videtur Dn.
  12. Clarsdorserns; qui citance Scranchio de Numer. Doctr. Aph. 16. ab
  13. Wnicatensquead 40000000. tancum, septem dari obserravic: (sed
  14. a duobus perfectis spuriis, nempe, 130815. _ 2096128. abundanci-
  15. bus pocius, numeris circumvencus. Dein omnium Pertectorum
  16. Numerorum noca inicialis auc senarius est, aut octonarius; ica qui-
  17. dem ut alternacim modo, modo secus se inricem segrancur.
  18. 5. XX.
  19. Accedic denique omnem Numerum Pertectum esse SimuI
  20. Numerum Frisonalem; cujns Radix est ipse Primus, a cujus cum
  21. combinaco seu ancecedence ancea mulciplicatione fuit progenitus.
  22. Sumamus probandi eaula perlectum: 1374 38691328 qui num Tri
  23. eonus tuerie, Radix Trigonalis manifectum reddet; hac uc inve-
  24. niatur, ex dupio ipso numero proposico RadiX (J. extrahenda eAt
  25. cui Residuum ubi tuerie aegrale, iptam Radicem esse vere Triso:
  26. nolem, evidencissime patebit. Sit

Cite

Disputatione Mathematica Numerum Perfectum Perfectissimi Favente Gratia Nec non Benevole Inclyta Facultate Philosophica Indulgente A.C. MDCLXXVIII. ad d. XXI. Sept. P.P. M. Johann Wilhelmus Pauli, Lipsiens. Philiater, Responsuro Johann-Luca Rhiem/ Coburgo-Franco, Medicinae Studioso, fol. - . Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/827662491:0015?run=74