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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. 40

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. DE C+CLLCL.
  2. 4. FE similiter de Peomenei cujusvis eum MOMCHEO, TUM cen
  3. ero oravicatis judicandum cric: Hlabent urique momenca parcium
  4. currae C A Hg. 8. respectu Al rectae, eam incer se ratione,
  5. quam respectira partes semiparabola A F C fg. 9. rectis diame-
  6. croparallelis abscista: quamque habene iae parabolae partes ad re-
  7. spectiras parces parallelogrammi circumleripei, eam habene di-
  8. ltanciae cencrorum graricaris carundem parcium (ab A F rCCFA) 2d
  9. TOLAM F C.
  10. 5. Si vero pro lingulis rectis Z Z A9, 9. hoc est radiis circulo-
  11. rum punctis Z E9. 8. circa A F rectam conversis descriptorum,
  12. Substicuantur ubique restae quae sine ad has ur circuli peripheria ad
  13. ejusdem eadium: Hloc elt, E Temiparabola quae basin jam habee
  14. AC un 22 e alricudinem C F D, incellientur, Suxer eadem
  15. bale constituca, alticudinem habere 4 A F = 2 P; essec ea semi-
  16. Parabola requalis superticiei convertione currae C A Hg. 8 circa
  17. A F rectam delCrIPEX; (nempe ZD P, sive 32 circuli genitoris:)
  18. ejusque partes respectirae respectivis partibus hujus aequales.
  19. 6. Duod autem F. XA Ag, 9. Tuc Parabola, Sic ostenditur. Resta
  20. D
  21. Q. X sunc ubique ut = per = 2,. HOc est, ut D = a;
  22. adeoque residux XC, hoc eAt E L diamerri, ubique uE a 2; hOc es
  23. in duplicata ratione Z C, hoc est X E ordinacim applicararum.
  24. Duod Parabola proprium est.
  25. 7. POrrO, ejusdem curra C A fg. 8. divisae uc prius in punctis
  26. Z. omnium punctorum Z. (seu parcium xqualium his. punctis de-
  27. SIONaEAEUI) dictantix a C F, suNE Z Y, hOc CA L 2 + 2 Y.
  28. 8. Adeoque SI CUIEVX C A A9. 8. aequalis exrendatur recta C A
  29. fg. 20. Similiter divilas atque per divitionum puncta Z duCANEUE
  30. rectae V Z v, ica quidem uc Z V Ag. 20. sinc respectivis 2Z E9. 8.
  31. aequales, _ Z. v respectiris 2 P: exhibebune hae rectae V Z0 sinou-
  32. Ix lingulorum currae punctorum Z momenta respectu recta C F
  33. Fs. 8. adeoque omnes omnium. FIOc elt, figura F V C V A mo-
  34. mentum rocius A C curvae (respectu rectae C F,) _ illius partes,
  35. parces respectivas hujus.
  36. 9. CuM vero rectae C Z Hg. 2O. hoc CA C Z CUHVX Hg. 8. (IHE
  37. UE C Z chordae in semicirculo equalirer crelcentes, hoc eA, ut
  38. Tinus recti in quadrance CrelCentes aqualiter, Puca UE B V iN FrI-
  39. lineo B C cA9. 7. (E nempe intelligatus c B in punctis V aequa-
  40. ITC
  41. Centrum
  42. rum CArVa
  43. et A
  44. dato
  45. Superficies
  46. circa AF
  47. descripea.
  48. Centri cur-
  49. va distantut
  50. 818. 10.
  51. 18.7

Cite

[Johannis Wallisii SS. Th. D. Geometriae Professoris Saviliani Oxoniae, Tractatus Duo] Johannis Wallisii SS. Th. D. Geometriæ Professoris Saviliani Oxoniæ, Tractatus Duo, fol. 40. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/85138403X:0056?run=74