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[Johannis Wallisii SS. Th. D. Geometriae Professoris Saviliani Oxoniae, Tractatus Duo] Johannis Wallisii SS. Th. D. Geometriæ Professoris Saviliani Oxoniæ, Tractatus Duo, fol. 115

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. Et TInaNSudS.
  2. proxorcionalis sIC. Habebirur
  3. N: a2 + 2 a K
  4. 20
  5. pe.
  6. Ladedesum
  7. ooregatum omnium p2 exhiberi pocerie; ur ex omnium pore-
  8. ltacum ipsius p, qua denominantur a numeri z mulriplici SI vero
  9. insuper n ee Z numeri, communem aliquem divilorem admitenne,
  10. PUTa F: sirque f) N (S, _ f) Z Ce. Fxhibebicur eciam omnium
  11. pe dsgresatum, uc e porestarum ipsius p quxe a numerie mulcipla
  12. denominantur. Acque hinc dijudicandum erie, quatenus vel ipla
  13. AO curra, vel conoidis suxerticies ab hac deseripea, aue hujus
  14. Temisuxerticiei momentum respectu axis, aliave hujusmoci, ex
  15. triberi postine vel non postint. Acque de P’araboloidibus hactenus.
  16. Tandem, Coronidis loco, iptam Crcloidis curvat ad exa C Mt da Cy
  17. men rerocabimus. Nocum est Cycloidis cansentes Z. Y, Cubrentis
  18. Circuli Genitoris ZC, parallelas esse, e aequales; Adeoque e
  19. earum parciculas . I, ip(IS 25. Dux quidem eansentium parricula
  20. (in Parcibus exiguis) ipsis Z. J. Cycloidis particulis (ob rationes
  21. Lupra IN(IMUALAS) coinidere censendae Punc. Divisa aurem C F
  22. in parces xquales quorlibet in punctis Y, qua dicantur A= Y l;
  23. unde HaHE C Y arichmerice- Proporrionales, quae dicaneUT d, TO-
  24. EaquE C F = D: Frun ubique ZC = N d D. Trem, ut CY = d,
  25. 2d 2C = Y d D; sc Y Y vel. A, 2d 28
  26. =N= Adeoque, omnes e, ad omnes
  27. 2
  28. V aD
  29. hoc est, CF recta, ad CUrAI C Z A; uE series Aqualium, ad
  30. seriem Recip: Ocam subsecundanorum. IlOc eA (Per Prop. 87. et
  31. Fegq. Arich. InEn.) uc C F B rectangulum, ad congruam Fguram
  32. incerminibisem C F BB st C: (ex partes parcibus respestive pron
  33. porcionales.) Hoc elt (per ProP. 202. Rrich. In(IM.) uc 2 ad. 1. Fp
  34. Propterea C Z A Semicycloidis curra, diariecri genitoris circuli
  35. CF, dupla
  36. (EIbenEUE auTeM iPEX YB, E incelligantaE cum Pemipir a bol3
  37. (CujuS VerEex C, axis C F, _ BasiS axi aequalis, adeoque et literi
  38. recto,) cum huic circumseripeum quadracums dc Aac, uc rectae in
  39. pacabota, dd rectas in gunceoto; (EeC ell, uc Yd D, vd D; + 10
  40. loidis.
  41. 18. 37.

Cite

[Johannis Wallisii SS. Th. D. Geometriae Professoris Saviliani Oxoniae, Tractatus Duo] Johannis Wallisii SS. Th. D. Geometriæ Professoris Saviliani Oxoniæ, Tractatus Duo, fol. 115. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/85138403X:0131?run=74