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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. 74

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: 0.90.

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The machine reads it as

  1. DE
  2. C2C 10LD
  3. lum ateinsie, e angulum incernum polygoni circundati ad ver
  4. cicem habet.
  5. Problema.
  6. Polrgonum Serrarum semicirculo dato inserere, cujus summa
  7. lacerum lie duplo diamerri minor; aeque aliud circundare cujus
  8. Tumma lacerum sic duxlo diameeri major; ita camen ur urrius
  9. que lumnae differeneia sit dacae cuicunque mognicudini aequalis.
  10. Sic Pemicirculus dacusi A DD, cujus diAMEEeF SIE AD;
  11. mienicudo daca X. Dacaigitur media proxorrionalium AD.
  12. FIAHE A M, AD, A C concinue proxorcioniles, ita uc diste-
  13. TENEIA EXErCMATuM N C, aequalis lic ip(i X. Disponantur autem
  14. subcensae A D ubique in daca ratione AD ad AM, _E COntI-
  15. nuetur ratio in infinitum. Productis deinde (ubFen(IS, per Unu-
  16. quodque D ducancur parallelae NDB, ad P orimam uETIn-
  17. que liibrentam. Patec ex iis quae dicta sunc, Polygonum semicie-
  18. culo intertum esse. Aeque aliud circundatum. Dico aurem insu-
  19. pec lacera Inserei simul sumpea (Ecilicer omnes in inFniEUM DN)
  20. deticere à duxlo diamerri defectu D M; Latera vero circun-
  21. daci (Scilicer omnes in insinitum BD) excedere duplum dia-
  22. metri, excessu D C: differentiam denique lacerum utriusque
  23. polysoni aequalem esse dacae magnicudint R.
  24. Diamerris A M _ AC, ducantur circuli tangentes eriam
  25. In A _ secontes Tubcentas in M e C ubique. Ouoniam ergo
  26. subrensae AD dispOnUnEuE in daca PatiOne AD ad A M; ereo
  27. AM Canrecedentis Tuhren(a) aqualis est (consequenti) A V.
  28. ergo M N (anrecedentis) aequalis est ipsi D M
  29. EIS) _ Sc ubique: ergo differentIA ipTaTUM DM, W N (ejus-
  30. dem subrentae) aqualis et differentix ipTarUI D M, D M(an-
  31. recedentis ex consequentis:) Ip(X rerO D M cum SinE magnitU-
  32. dines in infinicum decrescences differentiarum summam aqua-
  33. lem habene maximae DM; ergo summa omnium D M minus
  34. MN (ejusdem Subren (X,) aGUaEUF MaXIMA D M. Sed quoniam
  35. DM minuS M NI, aequalis est duplo DM minuS DN _ CC
  36. ubique; ec quoniam summa omniur. DM, cum sinc differentie
  37. subrensarum in infinirum decresceneium, RQUaEUE MAXIINX A 1)
  38. (Tcilicer diameEFO:) EFBO dUPIUM SIMAIMA IDTAFUI D M (hoC est
  39. duplum diamerri) minus cumma L acerum DN, aequalis est ips
  40. DN. Ereo omnium polygoni Inserri Lacera deticiune a duplo
  41. diamerri defectu D M
  42. RurTU

Cite

[Johannis Wallisii SS. Th. D. Geometriae Professoris Saviliani Oxoniae, Tractatus Duo] Johannis Wallisii SS. Th. D. Geometriæ Professoris Saviliani Oxoniæ, Tractatus Duo, fol. 74. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/85138403X:0082?run=74