Leibniz Legible

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. 499

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: 0.89.

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

The machine reads it as

  1. Lblematum Solutio.
  2. Inde Semtis,
  3. IOR.
  4. anitestum est, in construcione Cycloidis, Peripheriam CMCI SC
  5. nerancis, proprer continuam lui quae supponitur ad rectal A Recta
  6. applicacionem, huic aequalem ette: Adeoque e semistem leluti, Z. Y.
  7. E. Et quidem, paccicularim, dum Cicculus cenitor, balin in E continecto,
  8. mincto suo Dneante designat Cycloidis punctum Z, manitetcum elt (propter ean-
  9. dem continuam cusuoylui) rectam e A congruere currae 8 L, hoc est (ducta Z Z
  10. baliparallela, quae occurratin Z circulo C. Z F cirea Cyclouis aXeMt) CurrX LL.
  11. Adeoque e reliquam reliquae: nempe sF, hoc eltZ Z, ipsi ZC. EF lic Hbrgue
  12. Recta igicur Z L aquac ubique aggregarum Arcus e dinus recti, Sinui verto
  13. C P convenientium.
  14. 4. Si super circulo CZF cirea Cycloidis Axem
  15. constituro, aut huic aequali, exigatur Cstindrus re
  16. Etus FZC F, altirudinem habens CiT, diametro Ba.
  17. Sis aequalem: Pota suverficies hujus Cylindei (curr
  18. batibus) est dupla Cycloidis ACDF; (nempe
  19. dux bales Cylindri FIg. 2. Tunt duplae circuli, C 2. F
  20. tig. T. _ Cylindrica superticies curra, dupla reli-
  21. quorum segmentorum:) Acque si eadem superticies
  22. (supersicies, inquam; non Cylindrus, ne norae su-
  23. perticies sccando cmerganc) plano F CIF Per aXeM
  24. bilecetur: Semisuperticies Cylindri erit dupla semi-
  25. cycloidis A FC; (nempe duae semibales, Tunc du
  26. plae temicireul Ci2 Lfβ. E; ee Semiestindrica Lu.
  27. RXF 2
  28. Semicy-
  29. ctois.
  30. Et ta

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. 499. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/851387705:0519?run=74