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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. 39

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: 0.83.

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The machine reads it as

  1. E
  2. O73
  3. B
  4. 3
  5. o
  6. ars Secunda
  7. D cenerum gravicatis curvae semicrcloidis
  8. A C Ag. Y. hoc elt A C fg. 8. inveniendum,
  9. altu O canquam a D. WV ren demonstratum,
  10. Centrum
  11. C
  12. cum curvam C A duplam eRe rectx C F, L19. 1. 8.
  13. cum ubique CZ curram rectae C 2 duplam = Vide ad
  14. este. Adeoque Posita recta C 2 = a etie correspondens curra salcem hajus
  15. CZ = 2 a. Tic propcerea, Cumpris chordis circuli C Z acichme-
  16. rice proportionilibus, Crum item correspondentes curra C L
  17. arichmerice proxortionales; ex curra C A in punctis L. in aequa-
  18. les partes divita.
  19. 2. Flarum vero partium aequalium (quas supponamus numeio
  20. intinicas, ec cocidem Z. punctis detignacas) distantia ab A F recta
  21. est ubique F Y =
  22. d
  23. . Nam, proxrec cimilia criangula,
  24. UEF C = D, 2d F Z= V: D= a: sIC eadeM F Z = V: D= un a3
  25. ad F X, guxe igitur est
  26. D2= a
  27. D
  28. (Exponendo nempe quantica
  29. Eem a SuCCeSIre PEF L2, 3, G5 C. GUAEUM MaXIMA SIE D.)
  30. 3. Si igitur currae C A A9. 8. aequalis exrendatur recta C A. Cemert un
  31. A3. 9. Quxe incellisacur similicer dirisa in purictis Z: aeque à stantia ab
  32. punctis Z. erigi incelliganeur Z. X rectxe, respectivis dictantiis F X At
  33. aequales; perque omnia puncta Z duci curram A X F: Fxhibe.
  34. bunc cum lingulae rectae Z. X Hg. 9. (respectiris Z X H9. 8. Xqua
  35. les) Cingularum Z. parcium aequalium, in curra C R Ag. S. momen-
  36. ea respectu A F rectae; cum omnes omnium. Adeoque omnium
  37. Z Parcium aequalium, hoc est EOLIUS CurVA C A Hg. 8. momen- NB. In ci-
  38. cum in suo situ, respectu AF rectae, est ad momentum aequalis linea cationibus
  39. in distantia F C maxima Puspentae, (hoc elt, ad momentum maxi- = noTaE P2
  40. mum eories sumprum,) uc crilineum A F C fg. 9. ad sibi cir- ragraptos
  41. cumlcripeum parallelogrammum: Hloc est, uc semiparabola (quod hujus par-
  42. mox octendetur 6.) ad circumscriprum parallelogrammumm; TIS, e SP2
  43. EIve VE 2 dd 3. FE CONsEGUENLEF, CenErUM GraVIEaTIS CUEVX C A ragraphOS
  44. 18. 8. dictabie ab A F recta, duabus terriis rectae C F, sre Z D. Partis PEX-
  45. A. LC cedencis.
  46. o
  47. rva C .
  48. L15. 9

Cite

[Johannis Wallisii SS. Th. D. Geometriae Professoris Saviliani Oxoniae, Tractatus Duo] Johannis Wallisii SS. Th. D. Geometriæ Professoris Saviliani Oxoniæ, Tractatus Duo, fol. 39. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/85138403X:0055?run=74