Leibniz Legible

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. 107

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: 0.92.

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

The machine reads it as

  1. Et TINANOuOS.
  2. angulo subdupla. Tocumque triangulum, tocius spacii Spiralis
  3. duplum; sinempe incelligantur conroluriones interiores roties
  4. reperi quocies noris circulacionibus iterato de scribuntur.
  5. Nat revera; uri spiralis Archimedea, non aliud est quam Pa-
  6. rabola conrolura; auc etiam Circulus vel Circuli Secto:, cOnvo-
  7. lucum ParallelOBFAMUI, (quod PFOP. 26. Rrich. InFin. Olten
  8. dimus:) Sicspiralis haec, Hg. 34, non aliud est quam iplim
  9. M AS criangulum (f18. 35.) convolurum; contreetâ nempe in
  10. vunctum recta S M, adeoque parallelogrammis (Ere inlcripus
  11. sire circum scripris numero intimicis) in tocidem eriansula redlactis.
  12. Nocundum aurem hic elt; Tum proprer radiorum M A, MI,
  13. M 2, ∞c. (vel rectarum in criangulo his respondencium) con-
  14. cinue proporcionalium procellum in intinicum, decrelcendo; tum
  15. erium propier eundem ubique Tangeneis angulum cum recta cir-
  16. cundueca factum, (unde, circuendo, ad punctum M medium,
  17. nunquam Perveniri porerie;) Manifeltum elt, sSpiralem hancIn
  18. crortum (non minus quim extrortum; esse incerminibilem. Ne-
  19. que eni ab A per X2 3 e5c. quoccunque demum circulationi-
  20. bus Peraetis, ad medium unqua perrenietur, magis quam, sumpris
  21. A 2, X2, 2 3, Gc. ProporcionalibuS, extAULICEUE UnGUaI A S
  22. recta. UE aucem hxe omnes in infinicum continuacae, siC A I 2 3
  23. 50. concinuata inerorsum in intinicum, aecuabie rectam AS
  24. Ilabes itaque curvam interminabilem terminatae recta aegnalem.
  25. Sed e Facendum erie, Tangencem spiralis hujus, non migis
  26. duci posse Geonerrice, quam spiralis Archiiredex, (uC Qua ex
  27. quadratura circuli dependeat, uc ec Spiralium omnium Tangen
  28. TCs;) adeoque nec angulum A geonetrICO assiONaTI. LineA LA
  29. menincerminabilis terminua recte equalis, non minus line hoc
  30. altionabitur: Si nempe, sumaeur criongulum, non rectingulum,
  31. UE AS V AO. 33. Sed crianoulo A SC simile; uC enim AC
  32. 2d AS, siC Omnes AC hoc est A M rectaad omnes AS rectas
  33. drcubus aS numero infinicis in(cripEAE.
  34. Flanc iptum curvam, alia occatione, concemplatus irem est
  35. Wrennius noster. Nec eantum currae lonoirudinem, partiumene
  36. iPlius, de magnicudinem adjacencis plani: Ced er, iplius ope, Li-
  37. macum e Conchiliorum demunculos meritur. Exiltimac ucique.
  38. masna veritmilicudine, domunculos hosce rion alios ene quam
  39. Pyramides conrolutas; quarum Axis liC, istinsmodi Spiralis; non:
  40. quidem

Cite

[Johannis Wallisii SS. Th. D. Geometriae Professoris Saviliani Oxoniae, Tractatus Duo] Johannis Wallisii SS. Th. D. Geometriæ Professoris Saviliani Oxoniæ, Tractatus Duo, fol. 107. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/85138403X:0123?run=74