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: 0.93.

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

The machine reads it as

  1. Et HINANOcIOS.
  2. angulo subdupla. Tocumque triangulum, corius spacii Epirilis
  3. duplum; finempe incelligantur convoluriones inceriores tocies
  4. repeti quocies novis circulationibus icerato describuntur.
  5. Nam revera; uti spiralis Archimedea, non aliud elt quam Pa-
  6. rabola convoluea; auc etiam Circulus vel Circuli Cector, convo-
  7. lucum Parallelogrammum, (quod prop. 26. Rrich. Intin. Ollen-
  8. dimuIS:) Sic spiralis haec, Ag. 34, non aliud est quam iplum
  9. M AS criangulum (Hig. 35.) convolucum; contrecta nempe in
  10. punctum rectâ SM, adeoque parallelogrammis (live inscripeis
  11. sire circum (cripeis numero infinicis) in coridem criangula redactis.
  12. Nocandum aurem hic els Tum propter radiorum M A, MI,
  13. M 2, 5c. (vel rectarum in criangulo his respondentium) con-
  14. einue proportionalium processum in infinieum, decrescendo;eum
  15. etiam propter eundem ubique Tangentis angulum cum recta cir-
  16. cunducta factum, (unde, circuendo, ad punctum M medium,
  17. nunquam pervenire poceries) Manifeltum elt, Spiralem hanc in-
  18. ErOrTuM (NON MINUS QUAM CXETOTTU) esse incerminabilem. Ne-
  19. que enim ab A PeC F 2 3 60. quorcunque demum circulacioni-
  20. bus perectis, ad medium unqua perrenietur, magis quam, sumpris
  21. A F, 12, 2 3, ∞c. ProPOrciOnalibUS, exHaUTICEUE UnQUaI A S
  22. recta. Ie aurem hae omnes in intinicum concinuacxe, sic A L 23
  23. cc. concinuaca incrorlum in intinicum, acuabie rectam AS.
  24. Ilabes itaque curvam interminabilem terminata recta aequalem.
  25. Sed e larendum erit, Tangentem spiralis hujus, non magis
  26. duci posse Ceonerrice, quam spiralis Archimecex, (UE quXe ex
  27. quadracura circuli dependeat, uc e Spiralium omnium Tangen
  28. Tes;) adeoque nec angulum a geometrice actignari. Linea Fa-
  29. menincerminabilis terminatxe rectae xegualis, non minus line hoc
  30. allignabitur: Si nempe, sumaeur criangulum, non rectingulum,
  31. UE AS V Fg. 33. Sed criangulo A SC simile; uc enim AC
  32. ad AS, SiC AM ad Omnes AS restas arcubus A S nuMerO
  33. intinicis inscrIDEAS.
  34. Hane ipsam curvam, alia occasione, concemplatus irem es
  35. VVrennius nolter. Nec tantum curra lonsicudinem, partiumque
  36. ipsius, se magnicudinem adjaceneis plani: sed ec, iplius ope, Li-
  37. macum e Conchiliorum demunculos mecitur. Exiltimac utique,
  38. masna verilimilicudine, domunculos holce tion alios ese quam
  39. Pyramides convoluras; qurum Axis lic, ictiusr odi 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/826605435:0127?run=74