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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. 73

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.

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

The machine reads it as

  1. DF
  2. CacL
  3. MI A B; Hac deinde BC ad BM uc R ad5, 8 ducatur C P ad
  4. ansulos rectos secans C Veloidem in P, icem PF Bali Parallela se
  5. cans Genitorem in P. Jungantur denique F.C. Dieo mixtilineum
  6. A F. C esse ad Cemicirculum uE R ad S. Ducacus radius D FC; E
  7. dCMIEEaEUE ED; _ junganeur F B.
  8. Ouoniam seomenta a EP, A P F Pune limilia, erGO UEAECUS aC
  9. ad e p, IE ArCUS A P ad P F; _ quonia aECUS A L. ductus in se-
  10. miractium aequalis est sectori A F. D, ec semissiS basis D B sive sC-
  11. miradius ductus in alticudinem F F xqualis est Triangulo D F B.
  12. exBOUE A P ad F F, ita seSTOF A F D ad Triangulum D F B; 8
  13. UE aEadE PIEA A F D, ad D E B: Ted uE 50 ad F F, ica TriaTOV
  14. lum D E B ad Triangulum DF C (quia TUNE uE BaseS DB, DC:
  15. exit igitur ex aquO UE a E ad E F, ita sectOF A F D, ad Prianou
  16. LuI D P C, S converse limul _ inverse erit, ut a e PluS PF, ad
  17. a C, IEa AF D pluS DE C, ad AF: D; Sed ac elt ad semiperi-
  18. FheriaL a X B, UE sectOF A P D ad semicirculum A H B; eric ioi-
  19. EAF Cx XQUO UE a EPIUS F F ad Pemiperi phCTIA, IEA A F: D pII S
  20. DF. C ad semicirculum: Ped ex iis quae demonstrata sune de Cy-
  21. cloide, quoniam P. P esad Balin BM, uc anguluS ABF ed F.
  22. ctum, lire arcus a e ad semiperipneriam a n B qua quidem equ.
  23. lis est ips BM; ergo a e plus P Laequalis est iph F P: est ergO uE
  24. F P (vel BC) ad BM (SirC uE R ad S,) ita MirrilineU A FC
  25. ad Temicirculu A K B. Guare PemicIECVIUS A R B per punctum
  26. datum C. ita secatur a linea C. E uc pars lic ad torum in daca ra-
  27. eione R ad S. Ouod erat Faciendum.
  28. Scholia.
  29. Duod si punctum C sic in ipla extremitate Diametri, puncta
  30. C, B, B, coincident _ Balis B M aqualis est peripherix Geniro-
  31. ris; Duare Crclois elt Primaria, ec ductis P, PF codem moco
  32. pertcitur Problema, Sc Facilius demonstratur.
  33. Duod ( punctum C sIc exrra circulum productâ Diametro,
  34. Crclois erit contracta, e Mixcilineum A L C, non Polum alI3-
  35. nitur semicirculo minor in data racione, sed porest etiam major
  36. esse vel aequalis.
  37. Demonstratur d Keplero ex data sectione semicirculi a puncto
  38. Diamecri, posse semiellipem quoque a puncto axiscrantrech in
  39. data racione secari; sed idem eriam perticatur a puncto cujusvis
  40. AX150
  41. eida

Cite

[Johannis Wallisii SS. Th. D. Geometriae Professoris Saviliani Oxoniae, Tractatus Duo] Johannis Wallisii SS. Th. D. Geometriæ Professoris Saviliani Oxoniæ, Tractatus Duo, fol. 73. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/85138403X:0089?run=74