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[Johannis Wallis S. T. D. Geometriae Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica] Johannis Wallis S. T. D. Geometriæ Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica, fol. 401

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: 0.85.

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The machine reads it as

  1. rop. L. L1
  2. INFTNETOR
  3. eROP. LXXXI.
  4. Theorema.
  5. Cunius Seriei termini omnes per terminos alterius Scriei respe
  6. ve
  7. dirictantur, quotientes erunt series alids cujus index repexitur
  8. lubducendo indicem scriei Diridentis ex indice Scriei Dirila
  9. quod restat enim est index Seriei dirisione provenientis, sire Duo
  10. FientIS: Racio autem quam habitura est Series sic productan ad de-
  11. riem tocidem terminorum iplius maximo aequalium, ea erit quam l’a-
  12. bellae praecedentes (rel propositio 64) indicant.
  13. Exempli Gratia. Si Series Biquadratorum vel Ouar-
  14. tanorum (cujus index 4) diridatur per Seriem Cubo-
  15. rum vel Terrianorum (cujus index Z,) Ouotientes c.
  16. runc Series Laceralium seu Primanorum, cujus index
  17. Si Series tertianorum dividatur per Seriem primano.
  18. rum, provenier series secundanorum, cujus index 2. =
  19. FE R Series secundanorum per Seriem secundanorum
  20. divicdatur, provenier series aequalium, cujus index o=
  21. 2. FF Sc de Cateris.
  22. Demonstratio patet ex PFOP. 73. Onia nempe SC.SOC.
  23. ries Terrianorum in Seriem Primanorum respectire ducta 09
  24. etticiet Seriem Ouartanorum. Ft Series primanorum in 19)
  25. Seriem secundanorum sic ducta efficiet Seriem tertiano.
  26. 44
  27. xum. FF Series secundanorum in Seriem aequalium (ic 99)
  28. ducta, producet Seriem secundanorum. Et lic in reli-
  29. i On
  30. quis on
  31. Diritione retolritur.
  32. PROP. FXXXII.
  33. Corollarium.
  34. Deoque ubi idem est sradtuum sive indieum excessus derret Dividendae
  35. supra Seriem Dividentis, idem erit Seriei Duotientum indes.
  36. Fxempli gratia. Si Series Sextanorum per Seriem Ouartanorum, vel Series
  37. Onintanorum per Seriem Terrianorum, vel Series Ouartanorum per Seriem Secun-
  38. danorum, vel Series Tertianorum, per Seriem Primanorum, vel Series Secunda-
  39. norum per Seriem sEqualium, diridatur; proreniet Series Sccundanorum. Ouia
  40. nempe in lingulis Series Dirila Seriem Diridencem duobus gradibus superat; clt
  41. enim 6 - 4
  42. idem Seriei prorenienris Index. Vit pariter in aliis.
  43. PROP. LXXXTII
  44. Corollarium.
  45. Ideoque (per praeced.)
  46. Pert. Ouart. Prim.
  47. ec.
  48. 094
  49. 29C
  50. 164C
  51. 8+9C
  52. _C.
  53. (0)
  54. TI
  55. 2L
  56. uc
  57. Tert. Secund.
  58. Oc
  59. 09
  60. 8
  61. Oc)
  62. c
  63. 8c
  64. Prim.
  65. I
  66. Sec. A qual.
  67. 04
  68. EC
  69. 4.9
  70. Da
  71. aC.
  72. Legramis (series nempe Secundanorum) ad Trianeulum (aeque allum)
  73. respective applicetur, (nempe Plana illius ad Rectas hujus,) prodibit Tri-
  74. anculum; (quia nempe L L = L.) St der axplcetus au complementus
  75. parabolam, planum prodiens erit series Radicum quadraticarum Tertiano-
  76. 3
  77. semi parabola, prodibit Paralleloerammum; (quia 2 - 2 ==0.) Si ad semi-

Cite

[Johannis Wallis S. T. D. Geometriae Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica] Johannis Wallis S. T. D. Geometriæ Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica, fol. 401. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/851387705:0421?run=74