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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. 439

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: 0.87.

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The machine reads it as

  1. PFOD CL XV.
  2. INFTNLXOKCM.
  3. + Y: 9x 20 - 8F: + Y: 20Y 20 = 100: + r: 22420-121: + 1: 12720 - 144
  4. +V: 13420 = 269: f V: 14X20 -+96: + V: 25X20- 225: + V: 26X 20
  5. =256: + Y: 27x 20 - 289: f V: 18720 = 324: f V: 29X20- 361:4 V
  6. 20x 20 - 400. HIoc elt V0 -f V 29 + Y 36 f V5L + Y04 + V 75 + Y8
  7. F V OF - V96. f V 00 f Y 200 F V 90 F V 06 F V9T F V84 + V75 + N6
  8. F Y5I + Y 36 f V 20 = V0. Vel 2V0 + 2V 19 + 2 Y 30 + 2V5F + 2V6
  9. =2V 75 + 2 V84 + = V 9F + 2 V96 f 2 V 994. Y 100. (Nempe iidem ipt
  10. qui luxra in quadrance habentur polico radio partium 10, bis hic potui; nili quod
  11. linus maximus urrique quadranci COMUINIS NON ROPCtaTIT.) Vel ctiam O + 2 V FC
  12. F12 f 2 V 5F + 16 + 10V3 F 4V 2F + 2V OF + 8V6 F6V FF + 10. Vet
  13. denique (quia 0 F +2 f 26 f. 20 = 38) 38 f 2V19 F 2V5T F 1OV3 F 4 V28
  14. F2Y oc = 8Y6 = 6Y 2I. Adeoque ratio quam habet aspregatum illud radi
  15. Cum, ad maxitmam rOIIeS POTITaMI, (puTa LFX EO = 270)
  16. 38 + 2 V 19+ 2V50 F 20V3 + 4V 27 + 2Y0r + 81646VIE
  17. vel 29 +Y29 + 152 +5Y3 + 2Y2r + Y9544V6+3 er 1
  18. 205
  19. FC quidem quo plures ponantur Radii vel Diametri partes, eo minus ridetur
  20. explicabilis racio linuum omnium ad maximum cocies sumprum: adeoque A TUD.
  21. ponantur radii vel diamerri partes numero intiniex, (quod ad seopum nostrum
  22. taciendum videcur,) rauo linuium omnium 2d radium cories poticum, hoc cst, Ona-
  23. drancis vel Semicireuli ad Guadeacum vel Parallelogrammum circum seriptum.
  24. rideacur penscus inexplicabilis, Paltem nili ejusmodi explicacio sutficere judicanda
  25. tic, qualem prOP. F2 F C 135. extribuimus.
  26. FlIs uaqui Derpentis, prove abtuit ne rem qual Denieus conclamatam ulterius
  27. inrestisando delisterem. Id unicum quod (pem fecit HOC exaL. Nempe quod
  28. eadem distieulcate non obstante, in radicibus quaclrarieis, cubreis, biquadraticis, etc.
  29. humecorum Aeschmerice proporcionalium res non male succestut.
  30. Nam verbi gracia, s Peries Sublecundatiorum aliquousque concinuetur, puta
  31. 10 + rc + Y2 + Y3 + Y4 F Y5 +Vo, iplius racio ad maximum cories policum
  32. puca 7 Vo, non viderur alias explicabilis quam Y0 = V2 = 12+ 13+ v4+ 15+10
  33. vel etor tir 2+3 + t 5 + 16, vel calem (30 ac 0 + 1 + 2 -3
  34. 3 = Y2 + Y3 + Y5 + V6; nisi tortan placeat ram anrecedencem quam conse
  35. quenem rationis ducere in YS, de prodeat rario 3 Y6 F Y +2 + Y 18 F Y 3C
  36. F. Y 36, ad 726; vel porius, 3 V6 =2V 3. + 3Y 2 + Y 30 +6, 2d 726 = 42.
  37. tit limilitet in alis ejulmodi. Texiebus.
  38. Vettim I eadem leries supponatur in intinitum concinuanda, prodibie candem
  39. Eatio Z, vel 2 ad 3, aut L adt L3, ut dictum est prop. 53, 54. ipla quidem intini.
  40. cace (quod mirum videatur) irrationalicatem destruente.
  41. Ta lntutitet Ei subtercianis, lubguartanis, _C. ContBeE, UE Patet ex superius
  42. cradiris, prop. 54, 59.
  43. Cum ioques ladisticultare non obslance, quadcacura Parabolae et ab aliis ante.
  44. hac _c a nobis etiam nostra methodo, sed e Parabolocideos cujusvis quadratura
  45. (eadem tiatiente ditticuleate) d nobis in superioribus lacis Felicicer cradira _C
  46. non pline ompis, aberat spes rarionem eandem inveniendi quam Radlicum univer
  47. talium (soriei vel aucta vel muletaca) series habear ad seriem aegualium, et qui
  48. dem li non unirertalicer, in quibusdani laltem, quadancenus explicandi; Forcais
  49. etiam in illis iplis quae Ciroularet EHip seoS, et qua Hyperbole quadeacuram at
  50. cingune nonnihil proticere.
  51. EF aitrems quid deincess sie inquirendum rectiis perspiciacur, memnilte licot
  52. hos (inter alia) Circuli (vel erram E lipleos cusulpio) quadtacurans tuuc ulque
  53. perduxisle.
  54. Nempe, per pLOP. F28, _ 122, s rationum series illa 1, 3, 3, 3, 3, _C.
  55. incerpolari porerit; racio illa qua prima et secunda ponenda est incermedia, elt
  56. ea quam hraber circuli Quacteans ad Gnacratum Ractus, rel Circulus ipse ad Oua-
  57. dracum Diametri.
  58. Trem,

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. 439. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/851387705:0459?run=74