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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. 997

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: 0.88.

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The machine reads it as

  1. e
  2. LAbp. V.
  3. Retardatis, Cs Proectorum.
  4. PrOD. 2, 3. HujuS,) cransactx longicudines sune in duplicata rarione temporum
  5. adleoque e celerirarum, utpore quae sune remporibus a principio Cumpris provos
  6. tionales. Adeoque Celericacis in P, ad celeritarem in B, in lubduplicata ratione
  7. AP ad AB; HOc est, (PTODEET A P, AO, AB, concinue proportionales,) ut AO
  8. ad A B. Fadem igitur elt celeritas in O, quae in P. (Idemque similiter obtineret
  9. ob rationem modo dictam, si fuerie APO planum inclinatum, et A P perpendi-
  10. culs succedanemm.) Adeoque de Impecus verobique aequalis (cum idem sC uErO-
  11. Bigle cum Pondus cum Celericas;) e aequalis Ictus Peu PercuAIO: uc in C’aptie de
  12. Vercultione octendetur.
  13. Ouxgue de Descentuum Accelorationibus, hie ostensa sune: eadem similicer de
  14. ACcentuum Recardarionibus ostendencis. Duippe Obliquiras Plani eadem ratione
  15. Alcentum adjurat Gua H ACCHC L (tD. 27. Cap, 5
  16. Adeoque luplo CCMAPOTIbIIS, UE 29 2, 3,4u etc. Tongiludies tranlacl
  17. erune, uE 1, 8, 27,64, _c. numett Cubi.
  18. Si Celeritates sint in Temporum ratione Triplicata; Ouadruplicata.
  19. ec. Fonsitudines emensae, erunt in Temporum ratione Ouadru
  20. plicata, Omincuplicata, etc. Una semper rice plus mulciplicata,
  21. quan Leleritates.
  22. Adeoque, Tumpris cemporibus ut 2, 2, 3, 4, Xcc. longitudines crunt, uE
  23. E, 26, 82, 256, ec. numeri Biquadraci: rel uE 1, 32, 243, 5024, etc
  24. numeri suversolidi. BFHC deinceps.
  25. Tonsicudinesque continuis cemporibus egualibustransacta, uc illorum
  26. Cuborum, Biguacratorum, Superlolidorum, etc. difterentix.
  27. RNcMBatur enim, Mom ab a inchonto, in Fem.
  28. a pOcto A b Bmomentis B, B, Ccleritaces esse in du-
  29. plicata ratione rectarum AB, AB; hoc CA, Et ipta-
  30. rum Ab, AB, Ouadrata: Puca, Ut recta bB, BB
  31. complences ABB complementum Semipatabola. F.
  32. runc icaque Longicudines remporibus AB, AB, emen-
  33. (a, (per modo demonstrata ad prOD. 2. hujus, ) uc
  34. ipsa Complemenci plana ABB, ABB; hoC ett (prOP
  35. ter crilinea ABB, ABB, siberipla ParallelOSFam.
  36. OruI ABB, ABB, Per prOP. 6. Cap. 5.) uxipsa
  37. A
  38. ABB, ABB, rectangula seu parallelogramma. Sunt aurem, proprer alcimidines
  39. iplis AB, AB, vel aquales vel lalcem proporrionales; balesque bB, BB, in exrun
  40. demratione duplicara; Parallelogramma ipla (vrpore in ratione ex Batium ee AL.
  41. ticudinum rationibus composica) crunc in carundem ratione Priplicata
  42. Fc propcerea, sumpcis ab iniso temporibus AB, AB, dec. UEP, 2, 3,4, c. SC.
  43. spectire Celericates erunt, ut E, 4, D, 70, etc. et lonsiudines ab inicio cransactae, ue
  44. E, 8, 27, 64, ec. Adeoque, remporibus aequalibus, concinue a principio sumpris, i,
  45. 7 F03 CC. Cuborum differentia.
  46. Similiter oltendetur; sumpro Complemento Paraboloeidis Cxbicalis gus
  47. rectae BB, BB, sunt in rectarut AB, AB, facione Priplicata:) Loneicudines emen-
  48. as (crilineis AbB, A BB proporrionalco, ) elle in earundem racione Quadruxti.
  49. rata.
  50. Acque Sc deinceps, pro pocellaribus aliis, si lumantur Parabolocides respective
  51. contormes. Conttat ilaqué propolicum.
  52. Siu in Motu continue Accelerato, Celeritates (ab initio computandxe
  53. i lemporum rattoe Lriplicata.
  54. sine in demporum ratione Duplaata: Lonstl a clust
  55. I K R. H B
  56. Fig. 293

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. 997. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/851387705:1017?run=74