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Machine transcription of the Leibniz Nachlass

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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. 2

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: 0.86.

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

The machine reads it as

  1. et
  2. DC
  3. quam reliquae: dempe s F, hoc est Z. 2, ips Z C. FFscubi-
  4. Gue.
  5. 3. Rectaigieur Z Y aequat ubique aggregaTuM AECUIS eC Si-
  6. nus recti, Sinui verso C Y convenientium.
  7. dmierelois. 4. Si uper circulo C 2. F circa Cycloidis Arem conltituto, auc
  8. huic aequali, erigatur C plinarus rectus F ZC F, (Ag. 2.) alcicu-
  9. dinem habens C P, diameero BatiS aquale: POFA CUPerFCIeS
  10. hujus Crlindri (cum balibus) est dupla Crcloidis ACD F:
  11. (nempe dux bases Cylindri H9. 2. Tune duplae circuli C ZF Hg
  12. 2. e Cylindrica superticies curra, dupla reliquorum segmento-
  13. Tum:) AEque si eadem superticies (superficies, inquam; non
  14. Cplindrus, ne novae superticies secando emmerganE) PlanO F C L
  15. perarem bisecetur: Semisuperficies Cylindri erit dupla Seni-
  16. cycloidis A F C; (nemDe duae semibales, Tune duplae Pemicircu-
  17. li C. Z F Ag. 2; e Semicylindrica superticies curra, dupla crili-
  18. nei C AF Z :) Lc denique h ea semisuperticies bisecetur ad-
  19. huc plano elliprico PEPu quod planoF C F rectum (IC; semi-
  20. suxerticiei illius femissis F CF Z C Y F aequabir semicreloidem
  21. C A F; (nempe Semicirculus DalIS C Z F Ag. 2. aequabit semi-
  22. circulum C Z F A9. F. et superticies curra FC FZC F aequabic
  23. erilineum C AF Z.)
  24. 5. Nam, sumpro ubiris in Creloidis axe puncto Y, unde pa-
  25. rallela Bah ducatus Y2 V: rectae C Y in axe Crcloidis lumacur
  26. C Y aequalis in diamerro basis Cplindrica, unde ducarur lv
  27. lateri C P Parallela, diagonali L P OCCUEreNS in V; _ PeF Dun.
  28. ctum v, planio bas FZC, Parallelo, puta vs c, secetur superticies
  29. exlindrica sectionem extribens s c arcum circuli, qua (proprer
  30. Parallelas) consruet arcui 2 C in base Cylindri, hoc eltarcur
  31. 2 C circuli genitoris, ade04; 2 Z rectae aequalis, (sCuE _ v E COn-
  32. SMIFrect_ LZ lire in base cylindri sire in circulo generante.)
  33. Duod cum ubique tac, erune omnes curvae in superticie cylin-
  34. drica T B F ZC T, ipsi E cparallelae, aequales rectis omnibus ipsi
  35. 2. Z Parallelis in trilineo cycloidis C AFZ, e lingulae Cingulis.
  36. e limilicer poluxe (in iisdem pura sive à base sive 2 verrice di-
  37. Sanciis:) Adeoque, Proprer aequalem etiam urriusque heura
  38. alcicudinem, figura figurae aequalis: Cuperficies eslindrica, plano
  39. erilineo; (sed e seomenea illius respectiris segmentis hujus,
  40. eF BaTEE:) Eo h addaneus uerobique reguales semicirculi C Z F,
  41. ex
  42. 6

Cite

[Johannis Wallisii SS. Th. D. Geometriae Professoris Saviliani Oxoniae, Tractatus Duo] Johannis Wallisii SS. Th. D. Geometriæ Professoris Saviliani Oxoniæ, Tractatus Duo, fol. 2. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/85138403X:0018?run=74