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Machine transcription of the Leibniz Nachlass

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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: 0.87.

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

The machine reads it as

  1. S. XVII.
  2. ACg. tactenus licet Pertecti non minus, ac iptarum ejusdem
  3. partium inrencionem perlustrarerimus, jurabic enmen pOrro a
  4. Ham qrogi riam Perfectos inveniendi, ex eodem Euelidis Conce
  5. promanancem, explorare. Communicat eam nobis Michact
  6. (OtraUCh WV icceberea h. 1. P P. Mathem. Infer. FXCellenissimus, Prace-
  7. pior mems perperim devenerandus, suam de Numero perfecto Medi-
  8. cationem publice ibid. A. 51. reneilacam, hôc concludens axio-
  9. mate: Pariter paribus a quaternario in continuo ordine combina-
  10. iis, s unitale a majore incer duos combinatos subtracta, residuoqe
  11. (Primus (i fueric) per minorem numerum mulsiplicaio factus nu-
  12. moru eris perfectus. Cujus cercicudinem dicta parcim, parcim di-
  13. cenda adhue una cum exemplis subministrabune, Facileqi consta-
  14. bic, quam obserracu diena illa de Primo Numero Limitatio (iC, axi-
  15. omati ipsi omnine inserenda. 4 Sc.
  16. 4.
  17. 16.
  18. ec
  19. e
  20. 64. ee
  21. 256.
  22. e
  23. 1024. et
  24. 4096. 8
  25. 16384. ec
  26. 65536. e
  27. 262144. 8
  28. 1048776. e
  29. 4. 194304. e
  30. 1C777216. &
  31. 67108864. ee
  32. 268435456. e
  33. 8. danCPersectum NumeruM 28.
  34. .
  35. 8.
  36. 512. 2.
  37. 20+8. b.
  38. 8102.
  39. 32768. C.
  40. 31072.
  41. 524288.
  42. 2097152. d.
  43. 8388608. c.
  44. 33554432. F.
  45. 134217728. 6.
  46. 536870012. 144 175087807420126.
  47. 2073741824. ee 2147483648. 230, 843008139952128.
  48. 4294967296,1 d 85899315921 H.
  49. Ora ratione Numerorum Pertectorum. Penario cnmen ceu prims
  50. Praetupposico, ordo (qui d nemine non ulcerius concinuari pro lu-
  51. Bic Pocerie) perspicicur simulq; hunc indasandi Perfectos mo-
  52. dum priore Ruclideo breviorem ene, apparet. Ipsa siquidem.
  53. in numeris addendis prolixicas hac ria evieatur, nihiloqre minus

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/827662491:0013?run=74