Leibniz Legible

Machine transcription of the Leibniz Nachlass

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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. 582

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: 0.77.

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

The machine reads it as

  1. aP. I.
  2. De Notum Creneru.
  3. Onendum interim est: Intellisenidam elle hanc Propolicionem (de quae trine
  4. Vere quancitas, e tinita: Non o, vel Intiniums.
  5. OlivDe, E quae lupponiur compeneticium altera data, sic nullius quanciraris
  6. (Duta; uc 0 ad L,) quaecimgne Tic Componens cellua, Compoca eliam nullius
  7. nens reliqua non CoMtabIL. LH CHIM tAM OX Y = O, Quam OX 2 = 0, AUE OXZ
  8. =0, dc. Nucdus numu peride nullum est, acque Nullies Duo, vel Nallies
  9. Pria, dec.
  10. iis dacis,s quaenat lera tabios esta trlellgiue, cum insinica compolica, erram
  11. Insinicam exhibete.
  12. aquae Pe LaHOSCaS. Cu astu Sacttre compota,
  13. Gonus
  14. SElA siplic
  15. 5 C 7I,8. LL M. 1t
  16. LVL dependenc) de ejusimodi Racion Componence data, cujus Fsponens elt
  17. erit quantitaris: Adcoque, ex compolita, es illa componente, qua tuerat Compon
  18. Similiter; Si AE Comsponencium alielau racio Lnfmt (CujuS IndCK HC ∞.) F AL
  19. enim tam COx F = B, quam COX2, vel ∞ X 3, 8C. Infinities Onum, paricer Lune
  20. Insinica, aique insintus Duo, vel infinicies Tria, ec. Non constabie itaque, ex
  21. eoq isp 1B b P RO P.
  22. Si Racio quaeris cum A qualitcatis pacione componatur; eadem manet
  23. 2I.
  24. tam inon immulaes en seGualicatis ratio.
  25. oditeta et E pi Forii 3. L FX YB. V F. 3
  26. DVed, Dux ex Aiqualis e Dupli rationibus componitur, ell Dupli ratio: Oux
  27. ex Aqualis _ Pripli, est Pripli ratio, ec. Sire; Quod ett Duplo Aquale,
  28. Duplum Ct: Quod Friplo, Priplunt dc.
  29. SeguItur ex 2 tujus. Exponens ucique Racerns Lglasum CLF; (Nam. A.
  30. A S
  31. alium exponentem misscipican, calem reltiie; (quipperX t =r.) Adeoque
  32. constar Propolim. il SI CCMSASCCEZL SIBCBCCi
  33. BGCHO) sid gocilou il crodilicuile
  34. ide
  35. TTF i CE, HI FsoctilsouB lo
  36. eiup. 1 19+ 10 edil
  37. quale quodris per Tultin H quale divisum, Ollocientem extribet r: ) Oui quemois
  38. PEROP. V
  39. Fix. 4
  40. Ouancitates quxelibet, in eadem ratione rel atictx rel diminurxe; in ca-
  41. dem qua prius ad inricem ratione constituuntur.
  42. Fi8. 5, 6. 2 A. B. C. 1 2 A. 2B. 3C: : 4 _. L B. ZC: r X. F B. rO. 1C) cinoisus
  43. lcd 11115
  44. Equiem ex praecedenre s FA urique
  45. ==. rumi
  46. BDEOCIX ∞LEBD 19 3.3I1O
  47. Adeoque r A. r B. i C. in eadem ad invicem
  48. rationo aeque A. B. C.3 E3CZO itrcur. Orib sarret e olli: enclisnsc
  49. Idem demonltrabicur CkE XB L lement. 5. Cum enim sit, ex hypocheti, ut r A 20
  50. A, ticr R ad B; exic (. permurando) r. A, ad, n B, ur A adt B. FF de reliquis similiter.
  51. P.
  52. Dux ex Reciprocis Racionibus componiut faco Cn Lalto A GuataliS.
  53. 18. 78
  54. Ec contra; Aqualicaris Ratio, ex Reciprocis componitur.
  55. EF
  56. Puta;

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. 582. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/851387705:0602?run=74