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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. 416

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: 0.84.

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The machine reads it as

  1. LARITHMETICA
  2. F Sic deinceps, continue multiplicando numeros Arichmetice proportionales
  3. (quousque gradus po: eltatis poltulat) d 2 e 3 concinue binario crelcentes.
  4. P R OP. CXIX.
  5. Corollarium.
  6. TProPterea Conveics (vel Pyramidoeides) Semiparabolae laut etiam
  7. Parabolae) circa asius ordinatim applicatam aptatum, erit ad Cylin-
  8. drum (vel Prisma) ejusdem basis e alticudinis, ut 8 adt 15.
  9. Nempe ut Ouadrata reliduorum seriei Aqualium
  10. muletata serie Secundanorum, (ad rocidem maximo X-
  11. qualium.) Nam si volvendo Semiparabolam A DO cir-
  12. ca iplius ordinatim axplicatam DO, uE axem (vel
  13. etiam alias, UEPTOP. 9. Con. Sect. diximus,) FOrMEtIE
  14. Conocides (vel Pyramidoeides) Cujus Vertex O: erUNE
  15. plana illa Conocides (vel Pyramidocides) consticuen-
  16. cia, ut Ouadrata serici Aqualium serie Secundanorum
  17. muletara. (Nam recta in Semiparabola ADO diame
  18. ero AD parallela, lunt relidux Aequalium ablaris Se-
  19. Candaris, in complemenEO A Y O rEpertIS, VIE PaLCL EX
  20. dictis ProP. 23.) Ideoquo ad coridem maximo aequalia
  21. (hoc est Cstindrum rel Pritma,) ut 8 ad 25 per praecedenria.
  22. SC TTOL YV M. 0.
  23. Et parr modo de Conocidibus vel Prramidoeidibus ad Paraboloeidis cujulvis
  24. ordinatim applicatam aptatis, judicum tiet, ope sequentium proposicionum. Puta
  25. in Paraboloeide Cubieali ratio erit ut d ad r4; in Biquadraricali, uc 32 ad 45;
  26. in Supersolidali, ut 25 ad 33, eec. ut in tab. PFOP. 126.
  27. P ROP. CXX
  28. Corollarium.
  29. Pinde, Si nnita serres Aqualium mulitata serie Primanorum, in
  30. eandem seriem AEqualium eadem serie Primanorum auctam, respective
  31. ducatur: Rectanculorum (vel Duadratorum aut etiam similium quarumvis
  32. feurarum, ipsis aequalium, aut quidem proportionalium) Aecreratum, ad
  33. Accrexatum tocidem maximo N. qualium, rationem habebit cornitam. u
  34. Alque idem accidet, si Duadrata seriei mulctara ducantur in Quadrata se-
  35. riei auctae; e Cubi illius in Cubostrujus; (5 sic deinceps.
  36. Nempe cacdem prodibune rationes quae in PCOP. 178. NaM, A NREBE Y
  37. 1 2C 1
  38. in R
  39. Pacic D- a5
  40. C: R
  41. D: R V a: R, 2a.R F a 7. 1 1. 1L C MC 5(IL LC 1
  42. a
  43. C: R. a. = R.
  44. Fuct. BB FAi e OtiX.
  45. 2
  46. 22 = a
  47. 3aR2 = 3 a2 R + a
  48. Cacit R = 3 a 2R + +
  49. ec
  50. 5
  51. ee sic ip lineulios cerminio cujutvis pocestacis; ur mulciplicaneto patebic
  52. PFOp. CXIX.
  53. 3aR=+ 3,4 d
  54. 5

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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. 416. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/851387705:0436?run=74