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. 454

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: 0.91.

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

The machine reads it as

  1. lL G F B R A.
  2. C ap. C. +1.
  3. TV. Vel (hujus 10c0) 3, 5, 23 93 FE, 23, 25, 27, (0, vel) 19, 27 4
  4. 6
  5. 8, 20, 12, 24, _c. Nempe (neglectis 20, ejusque mulciplicibus) inchoando. a
  6. 3 (PrOPTET 22 = F9 Y 3) addiris concinue 2; _, quocies summa excurrit ulera
  7. 29 (Crelum Lunarem inceorum) abjiciendo r0. Acque hoc cousque doncc oc
  8. currat expolicus Cfeli Lunaris numerus; puta 14. (Nec Docest haec Series ultra
  9. loca 29 excurrere.)
  10. V. Cumque illic OccurraL Z4, lOCO 26; cui respondet in Serie tertia numerus
  11. 6322 == 6300 (= 4 20 X 15) + 22: Frit 6322 Periodi Fuliana annus qualitus.
  12. Similiter, Tumpris hoc ordine Crelis; Indictionum, Solari, Lunari.
  13. P. Propter Creli Indictionum annum 7; Incellipitur Series 7, 22, 37 52789c.
  14. additis continue 15.
  15. II. Vel (hujus l0co) 7, 223 9, 24, FF, 26, 89c. Nempe, rejectis, ex sum-
  16. ma 28, quories hunc numerum excedit: Idque consque falcem donec exposits
  17. Creli Solaris numeruS, PuTa 223 OccurraT. Oui cum hic occurrat loco secundo;
  18. cuiresponder in serie prima item 22; procedendum ut in exemplo prOxime PrX.
  19. cedente.
  20. Trem, Cumpris hoc ordine Crelis; Lunari, Indictionum, Solari.
  21. T. Propter Cyeli Lunaris numerum 4; Incellisatur series X43 33, 52, 896.
  22. Addicis continue 19; hoc cA, 15 F 4.
  23. TI. Vel (hujus loco) 143 3, 7, TE, (0, vel ) 25, 4, 890. Nempe (neglectis
  24. 25) concinue addiris 4; ec, uvi summa excrescir ulera 15 (erelum Indictionum
  25. incegrum) abjiciendo es: Pousque Paltem donec occurrat expolitus Creli Indi-
  26. etionum numerus; putd 7.
  27. TII. Cumque hic numerus occurrat loco certio; cui in serie prima respondet
  28. 52: Incelligenda serios 52, 337, 622, 890. additis continue 285 = F9X Lf: hoc
  29. elt 28 X 10,
  30. IV. Vel (hujus loco) 24, 2, 6, 27, 26, 21, 26, 3, 8, 43,, 28, 23, (0, vet)
  31. 287 5, 20, 25, 20, 25, 29 77 X2, 27, 22,86. Nempe (neslectis 28, ejulque
  32. mulciplis) inchoando a 24 (propter 52 = 28 f 24) addicis concinue5; et
  33. quocies summa exereseit alera 28 (inceorum Cyclum Solarem) abjiciendo 28. Id.
  34. que cousque donce occurrat expositus Cyeli Solarisnumerus; puta 22.
  35. V. Cumque hic numerus 22, loco 23 conspiciatur; cui relpondet in serie ter-
  36. tia, numerus 6322 = 6270 (= 285 X 22) + 52: Prichie, numerus in Perio.
  37. do fuliana quaeticuS.
  38. Denique, Sumptis hoc ordine Cyclis; Indictionum, Funari, Solari.
  39. L. Propier Cyeli Indictionum numerum Z: Incetlisenda eAt Lexies 7, 22, 37,52,
  40. e3c. additis COnFInUC 25.
  41. IP. Vet (hujus 10co) 7, 3, 18, 24) 20, 6, 8c. Nempe, quories summa ex
  42. cedit x9. (Cyclum Lunarem) abjiciendo r9. Aique hoc eousque, donec occurrat
  43. expolicus Creli Lumaris numerus; Duca 24. Oui cum hric conspiciatur loco
  44. quarco, cni in prima serie responder 52; procedendum uc in exemplo proxime
  45. praecedente.
  46. Eadem methodo procedendum, (I, ultra hostres Cyclos, etiam quartus, quintIS,
  47. pluretre accederent; et quareretur Annus Periodi ex omnibus composiia.
  48. Hlincelicitur (inter alia) haec breris Legula.
  49. T. Expotico numero Cyeli Solaris (vel illius excessui supra 19, Si hunc nume
  50. rum eXCCdaE,) addamur continue 9, (abjectis semper FG, quories ultra hunc nu-
  51. merum excurrituI,) donce occurrat expolitus Cyeli Lunaris numorus. Sie habe.
  52. tur series numerorum in Cyelo Lunari, exposiro Cyeli Solaris numero (in fuc.
  53. celtiris periodis recurrenti) respondent
  54. LI. Per numerum locorum hujus seriei, uno minus, mulcipticentur 28, et Facto
  55. addatur exposinis Crcli Solaris numerus. Sic habetur numerus in Periodo Diony.
  56. Tiana qualiber, urrisque simul Ciyclorum Solaris de Lumaris numeris expolitis re
  57. spondens.
  58. 25, Crel dividacur numerus ille per i5;) et Reliduo CAre Subductionis sire
  59. Diritio.
  60. Lal. Lx invento illo Cseli Dionstian numero, abselatu Guolles lieii porell

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. 454. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/851708439:0478?run=74