Leibniz Legible

Machine transcription of the Leibniz Nachlass

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[Johannis Wallis S. T. D. Geometriae Professoris Saviliani, in Celeberrima Academia Oxoniensi, De Algebra Tractatus; Historicus & Practicus. Anno 1685 Anglice editus; Nunc Auctus Latine. Cum variis Appendicibus; Partim prius editis Anglice, Partim nunc primum editis] Johannis Wallis S. T. D. Geometriæ Professoris Saviliani, in Celeberrima Academia Oxoniensi, De Algebra Tractatus; Historicus & Practicus. Anno 1685 Anglice editus; Nunc Auctus Latine. Cum variis Appendicibus; Partim prius editis Anglice, Partim nunc primum editis, fol. 452

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: 0.90.

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The machine reads it as

  1. L G E B R
  2. Cap. C IV.
  3. HS. PAT 22, 52, 82, T22, 875. Adeoque hujus numerus aliquis, qui seriei quarrae
  4. communis est.
  5. VIT. Cum Periei sextae numeri omnes binario terminentur; constat quartae n-
  6. meros illos solos esse utiles, qui binario item terminantur: Oui, cum nonnisi
  7. guinco quolibet ab 1002 loco recurrant, incident in seriem ab 1002, continuo aus-
  8. mento 2660=532 X 5, proeredientem. NTempe 1002, 3662,6332, 890.
  9. VIII. Examinatis iortur sixillatim seriei septimae numeris, an etiam seriei PexEx
  10. conreniant; hoc est, an per 30 dirili relinquant 22; invenietur mumerO 6322 h0c
  11. conrenire. Oui itaque cum seriebus omnibus communis Sie, Numerus CAt quae(ItS
  12. Periodi Julianae. Quod erat propolitum.
  13. Compendio fieri porest haec ultima examinatio; li, Cumpeis indiseriminatim
  14. (neglecto ordine) noris numerorum, inreltigetur num, abjectis z quocies tieri
  15. Doceltu Tupertie r. (id ucique tieri debet, propier 30 per 3 divilibilem, et 22. =317.
  16. F 1.) Ouod in 1002 non contingit, (nam F f 2 = 3;) nec in 3662 (nam ab.
  17. sectio 3, 6, 6, reltane 2:) sed in 6322 id evenic; nam, abjectis 6, 3, restanc 2 + 2
  18. Idem sumpris alio ordine tribus periodis efficietur: Puta, Solari, Indictionum,
  19. e Lunari. Nempe,
  20. Propter Cycli Solaris annum 22; erie in Perie 22,50, 78, 890.
  21. TI. Proprer Indictionum annum Z; erit in (eric 7, 22
  22. dec
  23. TIT. PFOPTEF 22 in utraque Perie repertum; exit in serie hinc concinuanda, con.
  24. tinuo augmento, 420 = 28 X 15. Puta 2.27 44 2, 862, 2282, 2702, 2122,254.2
  25. 2962733629 38027 42.2.27 46439 5062754829590296322,96.
  26. IV. Propter Creli Lunaris annum r4; idem erit in seric ab Tq, concinuo aug.
  27. mento F9, progrediente. Puta, F4733, 52771, 90, 109, 128, 247, 266, 185, 204,
  28. 223324298
  29. V. Cum vero, propter seriem tertiam, binario debeat terminari; qui nonnisi de
  30. cimo quoqne loco ab 52 recurrat, erit idem in serie ab 52 continuo ausmento
  31. T9O == TOX TO proOrediente. Nempe 52, 242, 4327 622, 812, 1002, F192, 1382,
  32. F572, +762, 2952,2T429 23327 25229 2722,290273092, 32829 347293662938527
  33. 4042, 4232, 4422, 46227 4602, 4892, 5262, 5372,5562, 5752, 5942, 6132, 6322
  34. C
  35. Adeoque 6322 huic serici cum religuis communis, est Periodi Juliana AN.
  36. mus quaelicus.
  37. Similiter, Tumpris hoc Ordine Crelis; Lunari, Indictionum, Solari.
  38. T. Propter Celi Lunaris annum Z4; erit in Peric 14, 33, 52, 88c.
  39. TI. Proprer annum Indictionum Z; in Ceric 7, 22, 37, 52, 06.
  40. III. PFOPIEr 52 in veraque serie repertum; erit in ferie ab 52 continuo aus-
  41. mento 285 == 25 X LO, prosrediente. NempC 52, 337, 622,907, 1792, 60.
  42. IV. Propier Cyeli Solaris annum 22; exit in lerie 22, 50, 78, 106, 134, 162,
  43. V Provter leriem quartam ex solis paribus; in Cellla Coliuciles crunt alter-
  44. ni numeri; adeoque quae ab 52, augmento continuo 570 = 285 X2 PTOBrC.
  45. ditur series. Nempe 52, 622, 2+92, 2762, 2332, 2802, 3472, 4042, 4612, 5182,
  46. 5752,6322
  47. VI. Propter seriem quintam binario ubique terminatam; Sumendus erit in quar-
  48. ta nonnisi ab 22 quincis quisque continue numerus, adéoque concinue addendi
  49. 240. = 28X5. Nempe 22, 162, 302,442, 582, 722, 862, 1002, 2442, 2282,
  50. 24229 25629 2702, 1842, 1982, 2.+22, 2262, 2402, 2542, 2682, 2822, 2962, 3102,
  51. 3242 3382,35229 3662, 3802, 3942, 4082, 4222, 4362, 45029. 464294782, 4922
  52. 5062, 5202, 53429 54829 5622,5762,5902,6042,6782,6322,89.
  53. Adeoque 6322, cum in lingulis seriebus occurrat, est Periodi fulianae Annus
  54. quaeticus.
  55. Ectimiliter, non magna mutatione procedelaum et quo ese luman.
  56. lariu Lumari: vel denique Indictionum, Lunari, Solari. Et parites, mutaris mu-
  57. candis, quocusquisque Annus in lingulis Perioclis exponatur.
  58. Idem

Cite

[Johannis Wallis S. T. D. Geometriae Professoris Saviliani, in Celeberrima Academia Oxoniensi, De Algebra Tractatus; Historicus & Practicus. Anno 1685 Anglice editus; Nunc Auctus Latine. Cum variis Appendicibus; Partim prius editis Anglice, Partim nunc primum editis] Johannis Wallis S. T. D. Geometriæ Professoris Saviliani, in Celeberrima Academia Oxoniensi, De Algebra Tractatus; Historicus & Practicus. Anno 1685 Anglice editus; Nunc Auctus Latine. Cum variis Appendicibus; Partim prius editis Anglice, Partim nunc primum editis, fol. 452. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/851708439:0476?run=74