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. 44

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: 0.90.

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

The machine reads it as

  1. CAP. 12.
  2. 8dF.) AC, hoc concelto,
  3. mulcomagis dicendum et
  4. sec duas peripherias NA
  5. AE, angulum concinere; eAt
  6. enim curvacura N a F du-
  7. PIa CUIEVETUTX T A P. ouod
  8. si N A P non sIc angulus,
  9. Sed una linea concinuata (-
  10. re in dircetum posica (prout
  11. concedi Colet ab omnibus;
  12. quis enim dixeric in singulis
  13. Peripherixe punctisangulum
  14. Formari :) neq; erie T AF vel P A N angulus, led pocius li-
  15. nea in directum potica; Et conlequenter neq; P A P. aUE T A N
  16. ansulus eric, led porius linex coincidences, quantum (cilicet ad
  17. iplum punctum concactas acrinet.
  18. Rcg; hinc obicer dilcere licer, quo pacto dux dissimiles linex.
  19. Duca cuera _ recta, vel peripheria e parabola, vel eciam perio
  20. pheria majoris deminoris circuli, aut etiam conrexa _ conca-
  21. ra. REc. concinuori polsinc. Onod monvisse lufticit.
  22. 60 Nocum ekt, aream ligura regularis quorcunq; lacerum
  23. aequalem esse rectansulo quod semiperimeero de rectâ a CentrO
  24. ad perimeerum perpendiculari concinecur; (En recta illa non
  25. Ec ad perimcerum perpendicularis, Peu ad angulos rectos, se
  26. cus erie,) AE idem ostendic Archimedes, (prop.r. de dimen.
  27. sione circuli,) de circulo; nempe arcam circuli aequalem else
  28. rectangulo sub racio ex lemiperipheria; P. A igicur cadius ad pe-
  29. ripheriam perpendicularis, sive ad angulos rectos. Si enim an-
  30. fulus radio ee pesipheria comprehentus, minor esser recto rectin
  31. lineo; elec area circuliminor quam ejulmodi parallelogram
  32. mum rectangulum. Nams illud quidem univerlalicer rerum eAt;
  33. si duae rectx, quarum altera cs Cemiperimecer hgura regularis,
  34. alcera recta ad lacus iplins quodlibet quocunq; angulo ducta
  35. parallelogrammums eodem angulo concincane, erie hoc paral-
  36. selogrammium arex ictius tgurx regularis aequale, (uc probari
  37. Pocekt ex 35C 1.) Cum isitur parallelogrammum racio (hOC
  38. B, recta a cenero) e semiperipheria comprehentum, quod a-
  39. L
  40. De anculo contactus.
  41. neq; erune lis ex TA, AF, auE P R, A N, in directum pOHICX.
  42. nam linea in directum policx non concinene angulum, per

Cite

Qua Continentur De Angulo Contactus & Semicirculi, Disquisitio Geometrica. De Sectionibus Conicis Tractatus. Arithmetica Infinitorum: sive de Curvilineorum quadraturâ, &c. Eclipseos Solaris Observatio, fol. 44. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/824573315:0064?run=74