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.

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The machine reads it as

  1. PROP. 14
  2. De Sectionibus Conicis.
  3. doidis, e Cunei, ut ouadraca unius e Rectangula alcerius X-
  4. que cralla incelliSanCuE.
  5. Cuneus aucem ille Bicuncacus, quem Plipticum diximus)
  6. eA Poramis super bauaBA, alcicudinem habens AS, adcog; no-
  7. ex mentura.
  8. Ouod aucem de Pyramidoide F. Iiptico ex omnibus Ouadra-
  9. eis DO, dictum el; perinde ralerec, li pro quadracis DO, Cub-
  10. Ricuerencur quadraca O0 (ordinacim inscripearum;) nisi
  11. quod eyramidoides hoc elser illius quadruplum.
  12. Cognica vero mintur a Pyramiuloicis Ellipcici syper Basi qua-
  13. draca, adeoq; d ratione quam habet ad Pacallelepipedum luper
  14. cadem basi aque alcum: cognolcetur etiam racio Conoideos
  15. Ellipeici (vel, uc dici Colet, Sphaeroideos) ad Cylindrum luo
  16. per eadem bali aque alcum; vel eciam Prramidoideos luper
  17. quacunq: bali plana (puca crianentach, quinquangulari, Ec.
  18. vel eciam curvilinca, auc mitta,) ad Prilma super eadem ba (I ~
  19. que alcum: (hnempepro omnibus quadracis (abAtitvaneurtO.
  20. cidem circuli, criangula, aliae re limiles ABurX) Per Basin aUFeM
  21. hic incelliso medium illud planum quod duobus illis Ave Py-
  22. ramidoidibus sre Conoidibus cA balis communis.
  23. E.A aurem Ellipricus ille (quem dicimus) cuneus, cunei Pa-
  24. rabolicilermencum. Si enim cu
  25. ncus Parabolicus AP, SecetUT PIa-
  26. noadB: erit aSBA cuneuS FIIipEi.
  27. cus tive Pyramis Cuper criangulari
  28. Bas aBA; religuum vero segmen-
  29. cum aBSPP cA Pycamis TupeF BaCI
  30. quadrilacera aBPF; aErIUSG; verO
  31. Psramidis culpis communis S. Si
  32. igicur ex Prilmare (cuneo nem-
  33. De PareB. lico) AP, auteratur Py.
  34. rais aBSDP, rettabic CuneusFI-
  35. lipticus (vel Pyramis) aSBA; cui aquale cA Pyramidoides EI.
  36. lipricum.
  37. Sed de idem immediate colliei poreA ex propolicionio prxce
  38. dentis calculo. Cum enim omnia rectangula BD, DS, hoc cA,
  39. omnia quadraca DC, xquaneur omnibus rectangulis FD, DE,
  40. dempeis omnibus PD AFS, pacce propolieum. Omnia enim
  41. ectanguta PDFDE conttiuun cuncum Parabolicum, (per
  42. eropu

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/824573315:0119?run=74