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. 106

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: 0.90.

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The machine reads it as

  1. Curvarum FoBovoIE,
  2. ee circum scriptione ad morem veterum, Fulius tradi posse, non
  3. Opus estrr egotemoneam; qui probe noris quam Facile hujul-
  4. mosi demonstrationes concracte, ad operotas illas vererum re-
  5. duci Folsime, modo quis id canci esse DULAVCTIT. AEque hactenus
  6. de Spirali Archimedea.
  7. Incelligamus jam alius generis spiralem describi; in qua, verbi
  8. oraciu, cadiorum incremenra C A non linc aequalia, led eadem
  9. Pacione continue creleant qua crelcun arcus SC, vel M S radit.
  10. Id aurem Aiet si incelligamus, vel, monence circumductae rectae
  11. MA mocuxquabili, punctum lineans roveri ab M ad A moru X-
  12. qualiter acceleraro; vel, matenre puncti linemtis ab M adR mmOtu
  13. aquabili, rectam M A circumduci mocu aquabilicer recardato,
  14. nempe uc quo lonsius a medio recesseric punctum lineans eo car-
  15. dius circumteratur recta; (unde consequerur puncti lineantis, in
  16. ipla curra descripta, motus aequabilis, vel xque velor.)
  17. Resic constructa, minifelam est, cum omnia limilium secto.
  18. cum criangula S C incer se esse similia, eum omnia SV A,
  19. vel SC. A, criangula rectilinea vel miltilinea, eum Omnia SM A
  20. item incer se similia. Unde e ansulus ad A, (quem vel S A
  21. curra, vel ejuidem tubrensa S A, vel CTLAM FAHOCNS, CUI M A
  22. Eaciat,) cum quivis esse porelt (PrO rari: MOtuum inter se ratione)
  23. cum ubique idem crit.
  24. FEUNE aurem Omnes S A rectae, hoc est (in parcibus exiguis)
  25. omnes SA curra ad omnes A V, hoc eli (in parcitui exixuis) 2d
  26. Ones AC, hoc est ad A M rectaM, UE AS ad AV; LrC uEIIy-
  27. pochenula ad Balm Trianguli rectanguli, angulum habencis ad
  28. balin, angulo a aequalem; illi nempe, quem curvae Tangens cum
  29. Radiis constievit.
  30. Construetur aucem hujusmodi spiralis; si sumpris, (uc in fis.
  31. 34,) rectis M A, MF, M2, M3, 5c. continue proportionalibus,
  32. radiis hisce describancur coridem sectores limiles, eisque circum-
  33. EcribatuE A L 2 3 (VC CUrVa.
  34. Si taE aUTeM, UC A9. 35, Cuper 2quali MA bali, crianoulum re
  35. ctangului M AS, angulum A a quale habenS: FPUNE CUIEVE AL, T2,
  36. 2 3, ∞c, in spirali, rectis A L, T2, 2 3, 00, in crianguli hypore-
  37. nula, Cinoutae lingulis respectire equales, e omnes omnibus: Adeo-
  38. Gue A X 2 28c curVa, rectae AS aequalis. Spatia verocrilinea Spi-
  39. eali adjacentia AM Z, LM 2, 2 M 3, 86, TraperiOrum in ErI-
  40. argul
  41. Spirali
  42. alia
  43. 218. 33
  44. 118. 34,35.

Cite

[Johannis Wallisii SS. Th. D. Geometriae Professoris Saviliani Oxoniae, Tractatus Duo] Johannis Wallisii SS. Th. D. Geometriæ Professoris Saviliani Oxoniæ, Tractatus Duo, fol. 106. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/85138403X:0122?run=74