Leibniz Legible

Machine transcription of the Leibniz Nachlass

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Qua Continentur De Angulo Contactus & Semicirculi, Disquisitio Geometrica. De Sectionibus Conicis Tractatus. Arithmetica Infinitorum: sive de Curvilineorum quadraturâ, &c. Eclipseos Solaris Observatio, fol. 23

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.

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The machine reads it as

  1. d
  2. Arithmetica Insimtorum.
  3. PROP. XXZ. Corollerium.
  4. T Universalicer, Pieurae spirales (a spiralis princi-
  5. pio exorsa, e eadem vel simili linea spirali termina-
  6. ta) (unt ad inviceme in triplicata ratione rectarum con-
  7. terminarum.
  8. Cum enim ( per constructionem linex (piralis) eadem (cra.
  9. tio rectarum MT, M T, eux cA angulOrIM PMT, PMT, In FIBUI
  10. Tumpea anenl voce, colentu quo supra prOP. 5. ut & sectoris
  11. voce, eo lentu quo lupra prop. 24.) lectorum PMT, PMT, ad
  12. inricem racio (quae componitur ex ratione anculorum et du-
  13. Plicaca racione radiorum,) eA rectarum MT, MP, ad invicem
  14. racio criplieaca: Ec proprerca eadem erie etiam ad invicem ra-
  15. eio feurarum spiralium MTM, MTM, qua illorum Scctorum
  16. TUnCErienCCS. Per PF 24.
  17. Sic v. 8. E recta MA Cunius circulationis) dicatur rY, de
  18. circulus eo radio deleriprus dicacur Le; sxura spiralis eodem
  19. cempore descripea crie Z c. Psicur in una circulacione cum le
  20. mille hec recta concermina , =r = - Zr; circutus conterminus
  21. Ex Z x C = ZC, qui ductus in 2 C numerum circulationum)
  22. F Z X Z x Z x C = 32 C, cjul9; eriens ZC, eA higura spiralis
  23. quae d circulacione integra e insuper lemisse describitur. PC
  24. limilicer in quantacunq; circulatione.
  25. PKOP. ZXZI. Corollarium.
  26. Tvero ejusmodi fieura spirales, limeis spiralibus
  27. dissimilibus, e rectis aegnalibus terminentur: (Pu-
  28. ta si ALB inuna spirali, tanta sit quanta MC in a
  29. lia:) erunt feura illae spirales homolosis suis rectis (pre
  30. ta MA inuna e AIA in altera) reciproce proportiona-
  31. les.
  32. PrOp. 29.
  33. NaM In PRIMIA CFIE SBUTA MABM Cduabus circularioniber
  34. descripca) aequaliserienci ciculisui B bis Tumpei; Ec. in le-
  35. cunda, fgUTA MABCM (cribus circulacionibus delcripca) X-
  36. qualis
  37. PFOD. 30, 3I.

Cite

Qua Continentur De Angulo Contactus & Semicirculi, Disquisitio Geometrica. De Sectionibus Conicis Tractatus. Arithmetica Infinitorum: sive de Curvilineorum quadraturâ, &c. Eclipseos Solaris Observatio, fol. 23. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/824573315:0235?run=74