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[Johannis Wallis S. T. D. Geometriae Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica] Johannis Wallis S. T. D. Geometriæ Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica, fol. 372

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.

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The machine reads it as

  1. PFOP.XVII.
  2. intinica illa parallelosramma ex quibus constare Lupponinus planum Parabolxe (per
  3. ea qua diximus ad prop. 2. ec 8. Con. Sect.) fiene cocidem criangula casdem de
  4. bales e alcirudines (cum illis Parallelosrammis) habentia: e propterea Para.
  5. bola sic convolura (hoc el, tioura Spiralis,) ipsius erolurae semistis exit. Notan-
  6. dum incerim eric; si velimus uc Orainacim applicata in Parabola (Parallelogram-
  7. ma illa terminantes) tiant, in Spirali, ex recta quae Sectores similes terminane
  8. (aequales utique angulos habentes:) sumenda este, in Parabola, continua P’aralle.
  9. logramma, non quidem aeque alta, sed quorum alcicudines sint Arithmetice pro-
  10. Dortionales, (puta, uc 1, 3, 5,7 _c.) quo adjacentes Ordinatim applicacae Cnt
  11. Arichmerice proporrionales; (quod Spiralis nostrae ratio postulat:) Duta, UL F, 2, 3,
  12. A ec.
  13. Atanc hoc quidem convenit cum iis quae habet Porricellius Exempl. 8. Corum
  14. quae ipsius cractatui de Colido Hyperbolieo praemitie; ucur a principiis plane diver.
  15. Ls pecita.
  16. Notandum autem hic porro erir; Sieut ex Parabola convolutione hujusmodi,
  17. (contracta Diametro in unum punctum) tic Spiralis Archimedea; sic ex aliis Pa-
  18. rabolocidibus (aliitre Fritineis istiusmodi,) sinili convolurione tieri poste alia
  19. Spiralium genera mille modis variata. Ouorum nonnulla post considerabimus.
  20. e ROP. XV.
  21. Corollarium.
  22. LaLEALALFCCA
  23. NTuPEr, Sermenta Spiralis hujusmodi quae fiunt circulationibus pt tauu s
  24. inceps in proeressione Arithmetica.
  25. cunda tertia, quarta, co s uars satiet se ut 2, 33 5373 6 sb a
  26. Sunt enim (Dex 1O) Spirales MA, NI A B, M A BC, M ABC D, dcc. Ut L, 4, 9
  27. 76, _c. ergo lesmenta Spiralium M A, A B (= M AB = M A, IBC (= M ABC
  28. M AB,) CiD(=M ABCD - M ABC,) etc. 2b 4, (4 = E=) 3,(9 4 =
  29. 5, (26 = 9 =) 7. dc:
  30. PROP. ZVITI.
  31. Corollarium.
  32. jusmodt segmenta conbtne tierceptan (A L7 L L7 c36.) ut 233, 377766.
  33. unirersaliter, Ductis quoltibet rectis NIT, MIT, Cc. aneulos conti-
  34. nuos PNIT, TM I, C3c. aequales norcem saltemus, etunt spiralis u-

Cite

[Johannis Wallis S. T. D. Geometriae Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica] Johannis Wallis S. T. D. Geometriæ Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica, fol. 372. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/851387705:0392?run=74