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Machine transcription of the Leibniz Nachlass

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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. 366

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: 0.77.

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

The machine reads it as

  1. ARIXHMETLCA
  2. PrOD. III.
  3. LAOP. TTI
  4. Corollarium.
  5. iled; Lriantulum ad Laralletderammum (super aquad base, aque
  6. altumu) est ut L act 2.
  7. SiId
  8. in
  9. ite e
  10. Frignontum enim constat quals ex infinitis saus parallelis Arichmeries pre
  11. porcionalibus, a puncto inchoacis, quarum maxima est balis, (ut ostendimus ad
  12. Pr. Y, d 2. libri nolbri de Conieis Sectionibus;) Parallelosraminum autem et t0-
  13. idem bali aequalibui, (ur patet:) Er80 iludt ad hoc Mst uL L adt 2 ( per praced.)
  14. Duod erat demonstrandum.
  15. Corollarium.
  16. PRO P. IV.
  17. Tem; Pyramidoeides vel Conoeides Parabolieum pe crectum pt p
  18. inclinatum,) ad Prisma vel estindrum (super aequali base aeque altur)
  19. est ut F adt 2.
  20. O
  22. sil, coitie CiO om D
  23. cisseses c etr (a
  24. ao
  25. Ls se c
  26. 110) FISis B silE Si (C cid XO 1C) C
  27. Constac enim Pyramidoeides vel Conoeides Parabolieum quali ex intinitis pla-
  28. nis Arichmerice proportionalibus, a puncto inchoatis, quarum maxima elt balis,
  29. (ut oltendimus proP. 9. Con. Sect.) Prisma vero vel Cylindrus ex rocidem basi
  30. aequalibus, (ut patet:) rgO Ic ad hoc ut. F acl 2, per prOP. 2.
  31. i
  32. am P R, OIP. V. C ) i
  33. Corollarium.
  34. Tem Linea Spiralis (quam Spuriam dicimus) quaetibet NIY (a Spi
  35. ralis Principio exorsa) ad correspondentem Peripheriae areum contermi.
  36. num PT (a Principio circulationis exorsum) est ut L ad 2.
  37. (Per

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. 366. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/851387705:0386?run=74