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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. 71

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: 0.89.

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The machine reads it as

  1. DF CTet
  2. ergo complementum anguli u po sciliceer p m, est minus com-
  3. plemento anguli mop, scilicet anguloom P; ergo in criangulo
  4. FPm lacus Fm, estminus lacere r D. Sed u F, FO aequales esse jam
  5. demonCEEANEuT, ergOu P major elc ipta O, _ OM MajoF arcu
  6. Op: exgo W P elEMLIOE AICU OP.
  7. Dico poltremo seomencum incernum D e ese minuS arcU OP.
  8. Ouoniam enim anguli roc, reo lune aequales, ergo minor est
  9. angulus poC angulo peo, ergo in eriangulo DOC lacus D CMI-
  10. nus eltlatere PO; reEtA aurem P O minOr elt AFCU P O; C19O
  11. De minor eltareu P0. Similiter demonstratur de a e.
  12. Problema.
  13. Ad datum punctum c in Crcloide st a d Tangentem ducere.
  14. Ducacur co basi parallela, e per punctumo Genicoris duco-
  15. cur Tubrenta aou, cui par allela ducacur XCY, dico rectam Xy
  16. cangere in puncto c. Nam Sinon LanSAE, ergo sCCAF IN C, erSO CA
  17. dic inera curvam aue versus basim, auc vertus verricem.
  18. Cadac primo si Reri possic versus Balim ex sic punctum aliquod
  19. ZIMETA CurVaM: e ducacur ba(I ParaIlela X uP, _ producta sC-
  20. CeE CurVaM In S, e producarur subrenta ad u. Ouoni-
  21. am ergo alibi demonstratur e primis Cycloidis proprie-
  22. earibus esse quod Parallela basi incer Cyeloidem et Genirorem
  23. cerminatx, sinc arcubus Cenitoris ad verricem abscissis aequales:
  24. ereo sp est aequalis arcui pO P 2, _ F O arcui OPA, CrGO CO
  25. plus arcu op aequalis eA iph g P: Ped x u aequalis est ipsiCO, _
  26. segmentum externum up eA majus arcu op; eroox up majoe
  27. eit iplS C0, OpEmul Cumpris: ergo p x major eAt ipld P 8.
  28. ereo cadic exera punctum s currae, ergo idem punctum est intra _
  29. exera curram, quod est absurdum: ergo non est inrra. Cadat jam
  30. inera curram versus verricem; ex sic punctum aliquod y rectx
  31. CY intra curram. Ducatur baliparallela y Ne, ee producta secet
  32. Creloidem in h. Quoniam ergo ve est aequalis ipsi C0, _c h D
  33. Plus arcuplo equalis ipsi c0, et pe segmentum internum est
  34. minus arcu No; ergoh De minor es ipsis h B, B0 simul sumpris.
  35. ergo minor est ipta F0 ergo e y major eh ipsa ch. Frgo punctum
  36. V est exera e inera curvam quod est absurdum: ergo non estintra.
  37. Similirer demonstracur nullum punctum rectae X y ese inErA CUr-
  38. vam, ergo non secar curram in punctoc; ereo ducta eAtcy can
  39. sens Creloidem in dato puncto c; quod erar Faciendum.
  40. Evdvoud5
  41. Fig. 24

Cite

[Johannis Wallisii SS. Th. D. Geometriae Professoris Saviliani Oxoniae, Tractatus Duo] Johannis Wallisii SS. Th. D. Geometriæ Professoris Saviliani Oxoniæ, Tractatus Duo, fol. 71. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/85138403X:0079?run=74