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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. 120

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. Curvarum EdBOVOIS,
  2. dences, designandas supra docuimus:) Unde liguer, currx Pemi-
  3. cycloidis secundariae parriculas, primariae parcibus aequalibus se
  4. spondentes, ese uc particulas curua quadrantis FIlipseos respon-
  5. dentes longiori semiaris parcibus aequalibus: FIlipleos, inquam,
  6. cujus semiaxis minor, est D =C F; _ D
  7. +
  8. 2
  9. di-
  10. Bantia Foci a cenrO; (cujus quadratum quadeato semiaxis mino-
  11. ris addicum, dac quadracu semiaris majoris;) adeoque
  12. L
  13. semiaris major; (nempe, si HaC, uE FO = B, 2d p C = D = B; CiC
  14. FC = D, ad quarcam; eric haec quarta, Cemiaxis major:) Quod et
  15. Tupra CracTIS Patet.
  16. Hujus aurem quadranris Ellipieos particulis, quibus parricu
  17. las semicrcloidis secundariae diximus proporrionales, non camen
  18. aequales dicimus, LadCOQuE nEC EOTaM FOEIS) sune urique ad il-
  19. laS, uE YB, ad A (parrem aliguoram ipsiUS D = FC:) ut ex jam
  20. cradicis pater. HOc est, ut L f B ad A; (estenim y ad p, uE 2 et
  21. ad D, quod mox otendecur:) sive ve 2 B ad D. Adeoque S AAE
  22. quadrans ellipleos cujus conjugaci axes, ad ares conjugatos el-
  23. lipseos nodo distx, (inc ut 2 B ad D: (hoc est cujus lemiaxis minoe
  24. sIE 2 B = 2 F. 03 MaIOF 2 D L 2B= F C + pX:) FriE quadrans
  25. Elle, currae semicrcloidis secundarix, aequalis; e partes parcibus
  26. respectirae. Dux WVrennii nostri eradicis comparaca, invenio con-
  27. venire.
  28. Quod aurem y ad p, sit uE 2 A ad D; SC, RopuS et, probabi-
  29. EUIT. OMNES P (EOE HUIMETO QUOFIn D SUPPONUNEUF PaETCS XQUI-
  30. les 4) sunc series arichnerice proporcionalium quaru maxima D
  31. cujus semissis (proprer cerminum minimu infinire exiguum) du-
  32. cus in numerum cerminorum; extribet, omnium sum
  33. mam. Sunt aurem omnes y arichmetice proporrionales, et qui
  34. dem cocidem numere quarum icem cerminus primus est infinite
  35. exiouus; omnium vero summa est ipsa D. Adeoque (Cum urraque
  36. lic propressio arictimerica, ab infinite exisuis inchonta) erunE cum
  37. OMBeS

Cite

[Johannis Wallisii SS. Th. D. Geometriae Professoris Saviliani Oxoniae, Tractatus Duo] Johannis Wallisii SS. Th. D. Geometriæ Professoris Saviliani Oxoniæ, Tractatus Duo, fol. 120. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/826605435:0140?run=74