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. 108

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: 0.88.

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

The machine reads it as

  1. Corvarum FVboroIS,
  2. quidem in plano jacens, sed sensim in convolutione (circa cre-
  3. Etum axim) aNTUTOCnS: PTO VaTIIS AUTCIM CUEVX, Sive ad rectam
  4. ci: Cumductam, sre ad subjacens plarum, angulis; variax Conche-
  5. liorum Formx enascantur. Aeque, hic hypocheli, men(urata Py-
  6. ramide, meritur eriam ea conchiliorum spacia. Fic quidem de huc
  7. spirali hactens.
  8. Pucaram hic aliam Spiralis speciem cradidisse; eam nempe
  9. quae ex corrolur a Paraboloide Semicubicali orcum duceret. Cujus
  10. leaque curra quom Paraboloidis illius curVR AGUCEUF, quaI X
  11. qualem esse rectae jam oltendimus; eriam Curra Spiralis inde o-
  12. rrunde, aequalis rectx ocendererur. Susticier aucem univeclum
  13. dixisse, Spirales omne genus, ex hujusmodi planis (Gvecriangula
  14. Sine, sire Frapezia, vel paraltelogramma, live Parabolae, auE PaCZ.
  15. Boloides, nur etiam hyperbolae, alixre vel rectilinea vel milti-
  16. tinexe fgura,) sic convoluris oriundas, curvas habere curratis pl.
  17. Borum lic convolurorum laceribus, UE AS, aequales; e quicem,
  18. opposito lacere, uE A M, in punctum contracto, spacium spicali
  19. adjacens, Rourx nondum convolure semissem.
  20. Acque hactenus specimina cradidimus methodi nore, subcen-
  21. Tarum ope, rectificandi curvas.
  22. Ouomiam vero, Tangentium ope (inmemorato Scholio prop.
  23. 38 Arith. Infin.) id etiam heri posse insinuarimus: libet e hujus
  24. ic em aliquor specimina extibere.
  25. Aeque a Parabola inicium desumam, id ipsum Tangeneium ope
  26. demonstraturus, quod supra per Inscripeas octendimus. Inrelli-
  27. satur itaque in Ag. 36. A T, parabolam rectam in verrice FAr
  28. gens, in punctis e quorliber aequalirer divisas adeoque A e, tive
  29. do, arichmetice proportionales, quae dicantur P; CarUIque
  30. COVTUIS exCCNUS BOL EF dICAEUF A: FRIE aUTCM OE= d A
  31. =7; adeOUE (PTOVTEE CS = = P) tangenS O5 = V: 4 p L
  32. a
  33. FV: Z. F 4p2. OCCUrrA aurem quaelibCE OE, PrOxima
  34. cansenti 05, in C. Fritque UE SF= 3 p, ad 50; sIC BO=EF = A,
  35. ad Oc =, V: L~ + 4P. Sivc AL, dd AV: L2+ 4p: vel
  36. Spirales
  37. aoda
  38. 18. 35.
  39. Curva P
  40. rabola
  41. i
  42. 5. 3

Cite

[Johannis Wallisii SS. Th. D. Geometriae Professoris Saviliani Oxoniae, Tractatus Duo] Johannis Wallisii SS. Th. D. Geometriæ Professoris Saviliani Oxoniæ, Tractatus Duo, fol. 108. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/826605435:0128?run=74