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. 35

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. 10.
  2. semicirenli.
  3. LoCcementi opposici. Seu, quod icem cR, Anoulus in perixte
  4. ria legmenco inlistens, cAt a qualis anculo iltius ACEN CHEI CU
  5. BMAIRIT.
  6. 20 Idem sc crincitur. AneuluS B AC caMIUS CA guante
  7. Temistis Feripheriae BC, per 20c3, hoc eHt, angulus B AC cA
  8. ad quacuorrsdus, uc lemistis peripherix B C, ad inceeri circuli
  9. Peripheriam.) Idcogi Li coulgi diraricentur AB, AC, doncc
  10. iptum P CEcctionis punctum) perveniet ad punctum A, (iplaq;
  11. A B degcneret in punctum,) eric anguloB A C, oppolicusince.
  12. per semicirculor; idcCgs angulus. B AC. rectus cAt. CC, quoni-
  13. am idem acciderer in quoris lemicirculo, igitur anguli lemicir
  14. culorum lunc aqualce, nempe recti omnes. Sed _ idem cMendi
  15. Porek, eciam in aliis lrvilibus scgmencis. Ergo similium les
  16. mencorum ansuli lunc aequales; canci nempe quantus iltorum
  17. Peripheriarum lemiscs.
  18. 40 Idem hoc modoprobatur. Ouoniam in lemicirculo an
  19. gulus ABC rectus cA, per 31 c 3; ideog: anguli B A C, BCA,
  20. limul, aequales recto, Per 32 c 1: Siigirur recta A B moreatur
  21. vg; dum perveniat 2d sicum A C, angulus B A C cranelcie
  22. sive nullus eric, idcog; B C A (qui jam hc angulus Termiciren.
  23. 11) rectus eric; nam quod auteriur angulo B AC, additur 27-
  24. gulo B C A, ur nempe ambo aquentur uni recto. ACq; idem
  25. ostendi porcA in aliis segmeneis lirnilibus; naM, Per 32 C1, c-
  26. rUnEB A C. BC A, CimuI, aquales retduo onsuli ABC ad
  27. duos rectoe; idcoq; cum A B C, in eodem vel similibus sexmen-
  28. eis, semper idem mancas, erie lumma angulorum BC A, BAC,
  29. eadem; adebq; cum B A C prortus eranclcit eric reliquus
  30. BC A ipE Cummae 2qualis. Similium igitur sexmentorum an
  31. Eulisune aquales.
  32. 50 Idem argum exnatura Pa.
  33. rallelitmi. Nam, ductis pluri.
  34. buscirculis concenericis, recta
  35. per eenerum illos secans Faciet
  36. ansolos alcernos aequales. Ideo
  37. Temicirculorum anguli a, an
  38. quamris inaequalium aequales
  39. Tunc.
  40. Dicetur Forlan, il lud quidem
  41. valere in parallelis rectis, pex

Cite

Qua Continentur De Angulo Contactus & Semicirculi, Disquisitio Geometrica. De Sectionibus Conicis Tractatus. Arithmetica Infinitorum: sive de Curvilineorum quadraturâ, &c. Eclipseos Solaris Observatio, fol. 35. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/824573315:0055?run=74