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. 71

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: 0.85.

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The machine reads it as

  1. PROF. 30
  2. DeSectionibus Conieis.
  3. habee ad verumq; verricem propter axpliCacIONEM IN CCNErO,)
  4. hoc eR, FF at nunguam cncurrene (propcer infinicam di-
  5. tantiam suxpoliri puncti converlus F) adcoq; Eune paral-
  6. Dela.
  7. Pacet etiam, Intercepiom. diametrum F. A (inter applicarionis
  8. CE. CR:: C A. CF.
  9. punctum _ vercicem propiOrem)
  10. iPSEUS COnFINUatONC AF (InCeF ver-
  11. cicem illum e congenris cum dia-
  12. metro concurtum) miroem esse.
  13. Cum enim (C, FC. Ed =FC + E, B
  14. :: EA. FF = F AF AF. Eric eciam
  15. diridendo) EC. Ca:: F A. AF.
  16. ACFC. minor est quam C a vel CA
  17. (DArS COFO) erGO e P A minor
  18. quam AF.
  19. Scd _ C ponendo CA = 21 -- 5,
  20. _CF = Z1 d = c, ideoq; LA = d
  21. =S 6, _ F2, = - 1 - d - - 5 + c)
  22. CF L FF-
  23. Idm d= 5C
  24. Et d
  25. C
  26. E
  27. CF (= FF t BC, ) = =; hoc CA
  28. Sed _ hinc docemur Rectam a F ducere quae Fllipsin in dato pAI.
  29. Eto a centinpat. Nempe, ducta Ordinatim applicaca aR, BaC uE
  30. EC ad Ea SIC EA ad EF. juncta enim Pa Ellipsin in a con.
  31. Eingie.
  32. Item, A dato esstra puncto P rectam ducere Fa quae PIlipsin contin-
  33. eat. Nempe, juncta FC, e concinuata, (quae Elliph in A a pun-
  34. etis OCCUEEAE,) uc habeatur F punctum in diametri Aa cunei-
  35. mstione; Quoniam ek ( ue raodo dictum eAt) FC. Ca = CR
  36. : F A. AP. IdCOG; FA. AC:: AB. F. C. Si diridatur AC in B,
  37. sicur diridicur FC in A; Et ducatur Ordinacim applicara Pa;
  38. recta Pa juncta FIliplin concingir.
  39. Alialiceret hic Corollaria adjungere, qualia de Parabola
  40. mnuimus prOP. 23. Sed ea breritaris erso omictenda judico.
  41. aPo

Cite

Qua Continentur De Angulo Contactus & Semicirculi, Disquisitio Geometrica. De Sectionibus Conicis Tractatus. Arithmetica Infinitorum: sive de Curvilineorum quadraturâ, &c. Eclipseos Solaris Observatio, fol. 71. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/824573315:0155?run=74