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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. 580

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: 0.69.

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The machine reads it as

  1. De Motu Generatia.
  2. Cap. I
  3. AC I
  4. 3er 1B1s. I3lF. 1115, 2 dS
  5. Oux ad aequalia candem habent rationem, sunt inter se asaa.et
  6. CCOnEra. I gIS ElS EMa SI sisD c
  7. 18. 2. 111113. L Ot e3is) A = L. 2 A ==2 F. r 3 A == 3F. n A = r R aeIOV
  8. DOta; Si A, F sine inter se aqualia; erum et inier se aequalia L A, Z R.; iem
  9. E 3 A, 3F; EE universalicer, r A, r F; cujulcunque rationis Indet LicY. Per
  10. 2. Prop. 5. F.1 Fuctidis.
  11. D2tC
  12. 3i
  13. ELOIXSiL ASHIBTISMI CmnSerStC
  14. Obi ratio ex duabus pluributre COmpOnITuE; DRtIS CompONCHLIBIS.
  15. datcur compostea. Nrempe Mulciplieatis invicem exponencibus com-
  16. Ponentium, ut habeatur DXPOnONS COMMPOME
  17. (1 5. 3 d cslessita
  18. 113 1SLE SEECSIACG 115) A 1711 5i1. FFig 19. a
  19. critu i
  20. st
  21. FrMEIN
  22. 103(.
  23. e
  24. YA
  25. rE
  26. 5m 1BIZL CCAWCSL SIASN
  27. Fig3.
  28. ei
  29. cirvitoriiet MrineiA a aXC
  30. 23est atitis
  31. o132
  32. oo ot line lu
  33. axe ACFa.
  34. X -
  35. r5F
  36. 1g. L.
  37. us indir vssom
  38. repe
  39. Mam 2Y3 = 6.
  40. X2 X
  41. sctE bie
  42. COnco, datarum Rationum componencium, dati Indices seu Exponentes (ra-
  43. Ltionum mansmras appellar. Fuctides; quod duantitates exponune Interpretes;
  44. malim Duorientes; id enim rulc quod ex termini Ancecedentis per consequentem
  45. dirisione emeroit,) anc. Dacur, inquam, Racio ex his Compolica; Fa Rempe Cu-
  46. jus Exponens elt a = a X C. (ver 5. Def. 6. Flem.) Ouod crac demonstrandum.
  47. dimilicer, oltendecur si plures ellent raciones comporentes, puca l adr, m ad 5y
  48. n n
  49. n ad c; quae ex his componicus, est rario 1mn ad Y AL. PCOPre =
  50. ut EAE AtE
  51. SC HOL ZV M.
  52. c.
  53. imn
  54. YSF
  55. Vohac rectius incelsigantur, notandum erit (quod non pauci perperam
  56. accipiune,) Raciones, puca Dupli, Pripli, ecc. Indices seu fxponentes
  57. habere 2,3, _c. Onde Denominationem Sumunt: Nempe Ouotientes
  58. terminorum Antec
  59. + 2d2, F.XpOnenS est 2; quia 2) + (2: quam itaque Dupti rationem dicimus.
  60. Racionis 6 adt 2, Exponens ell 3; quia 2) 6 (3: qux propierea diceicur Fripti ra-
  61. i0. Fc univertim, Racionis l adr, F. Xponens est: nempe Ouoriens Anceceden.
  62. tis per Consequentemr dirisi.
  63. FIOS Indices (IVC Exponentes, appellat Fuclides, Rationum mamonris; quod
  64. Quancitates exponune Interpreces; expotuillene cunius Quotientes. Ouippe illud
  65. rult Kaclides, quod ex Antecedentis per consequentem diritione emergic. Dixit
  66. autem mamoruras porius quam rorsmrus, uc illos etiam Ouorienres comprehenderet
  67. qua
  68. P RO P. VT, 51
  69. , I
  70. Fig
  71. OFL 5A25.S

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. 580. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/851387705:0600?run=74