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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. 34

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: 0.92.

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

The machine reads it as

  1. CAP. 10.
  2. supponamus rectam AB (quancum opus cAt prolensacam)
  3. DunCTO A manencc, circum-
  4. duci; aceoq: peripheriam
  5. secare in variis succestire
  6. punctio B, B, B, _C. FC ab
  7. tiis punctis lectionum rectas
  8. BC, BC, BC. _C. duci, ad
  9. idem punccum C. Manise-
  10. cum cR, Prouc punctum B
  11. ad punctum C. propiiis acce
  12. dicu rectam e B longiorem
  13. tieri ( modo legmencum
  14. prepoticum non excedat le-
  15. micirculum) eBC brevio-
  16. rem, (angulo incerim ABC
  17. NOM MaEaTO,) ulq; dum recta AB ad iptam AC accedentE,
  18. idem trac punctum B _ C, hoc cR, recta B C in unicum peria
  19. Pheria punctum degeneret, adeoq; recta BC (quanca quanca
  20. HC) Jacere supponicur im ipla peripheria; adeoq; recta AB, ad
  21. licum a C delata eoldem nunc angulos cum peripheria Facie
  22. quos prius fecerat cum recta BC producta, nempe angulum
  23. A B C, ejulq: reciduum ad duos rectos; hoc cA, angulum inte-
  24. riorem Cqui est opposci lesmenci anculus) cundem cum an-
  25. sulo A B C, acq; (eadem ratione) angulum superiorem cun-
  26. dem cum ipsius complemento ad duos rectos. Scd _ idem pror-
  27. sus ereniret in simili Ecgmento a By, adcoq; _ illic a B, ad Au
  28. cum a 2 delaca, ealdem ansulos tacic ad peripheriom quos pri
  29. uS Ecceratad q B Culera punctum B productam) hoc cA, c0s
  30. quos A B ad rectam B C (productam) fccic. Adcoq; similium
  31. lEGMenEOrUMI A B C, aB 3, licce inaqualium, ( quod cciam
  32. oppolicis eorum Ceymentis accidie,) angulilune aquales. Ouod
  33. er ac demonstrandu.
  34. Acqseciam eadem opera demonstracum eA, E segmenta illa
  35. similia sine Cemicirculi, eorum angulos aequales esse rectis recti-
  36. lincis; eric enim in semicirculo, cam aneulus ABC, quam ip-
  37. us reliduum ad duos rectos, ansulus rectus.
  38. lcem, in univerlum, angulus in Ccgmenro, aquadis cA ansu-
  39. Drorius ese ubicunq; in ea peripheria Cumatur punctum B, cun
  40. De angulo contactus.
  41. dem nempe cum eo qui est in simili legmento a B7. His poltis

Cite

Qua Continentur De Angulo Contactus & Semicirculi, Disquisitio Geometrica. De Sectionibus Conicis Tractatus. Arithmetica Infinitorum: sive de Curvilineorum quadraturâ, &c. Eclipseos Solaris Observatio, fol. 34. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/824573315:0054?run=74