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. 19

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. PFOD. 25,26.
  2. drithmetica Infnitorum.
  3. ram illam M TM ex intinitis Sectoribus Cimsilibue, quarum ra
  4. eli sunc Arichmecice proporcionales, adeoq. Sectores ipsi in
  5. duplicara racione Arichmcrice proporcionalium (quippe (i0a
  6. rum lacerum;) Sectorem aurem PMT ex cocidem Sectoritu
  7. maximo aequalibus: Pricq; proxrerea Figura illa ad hanc, un
  8. 2 ad 3. PeF PFOD. 21.
  9. Sectoris aurem nomine hic appello eciam Sectorum quocti-
  10. bec agpresarum, licer lemicirculum (auc quidem circulum
  11. inceorum) aequet rel etiam superer; (sicuc e de Anguli ap-
  12. pellacione lupra monnimus, ad Prop. 5.)
  13. PROP. XZV. CorollariuM.
  14. DiBRerea, Figura MTa quaespiralis circulatione
  15. pehtea defcribitur, aequatur trienti circuli primi, aa.
  16. Nam correlpondens Sector concerminus eAt ipse circulus in-
  17. cexer AA, circuli primi radio MA eodem cemporo delerip.
  18. 18.
  19. PROP, ZXVI. Corollarium.
  20. Dae vero ficura describitur inteeris circulationi-
  21. busprima et secunda prima, secunda e tertia,
  22. prima, secunda, tertia, es quarta; e sic dein-
  23. ceps: (qua libet parte toties repetita, quoties circulando de-
  24. Serchitur:) aequatur trienti circuli secundi, tertii, quarti
  25. exc. bis, ter, quater, Sc. (juxta numerum circulatio-
  26. num) sumpti.
  27. Nam dum describicur EDiralio NAB (pluabus circulocioni.
  28. Buofacta) a punsco mobili ab M ad B (in recta cireumducta
  29. MB) pro moro. ee simul feura plana a recta (sic concinve cret.
  30. CenCE) circunducta: Lodem cempore describirur (a rectaco-
  31. ta MB circumdvEtA) circulue Sccundus bis. AdeOg. QuBE Par.
  32. cibus continne crelcencibus (in rarione duplicata Arichmerice
  33. provorcionalium) conttoc ficura illa Spirali cerminatas coci-
  34. dem maximae equalibus constabic circantus ille bis delcripeus.
  35. Duarefigura Ho deseripra spirali adjacens, erie ad cisculun
  36. C
  37. cen

Cite

Qua Continentur De Angulo Contactus & Semicirculi, Disquisitio Geometrica. De Sectionibus Conicis Tractatus. Arithmetica Infinitorum: sive de Curvilineorum quadraturâ, &c. Eclipseos Solaris Observatio, fol. 19. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/824573315:0231?run=74