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. 53

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: 0.89.

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The machine reads it as

  1. PFOD. 65.
  2. Aritheretica Insinitorum.
  3. rum radicions quadearicis,) 2 ad 17, lire 5 ad =Z hoccA 1 ad
  4. 2F 1. (K. FliC de exreris.) Quod attirmae Theorema. Sin Index
  5. supponacur irracionalis, puca N 3; eric ralio, uc 1 ad a F V 3. _C.
  6. PROP. LXV.
  7. Theoremao
  8. X cognitaratione quam habet qualibet scries ad
  9. seriem Aqualium, coenolcitur racio quam HaLCC
  10. quaelibet ad quamlibet allam.
  11. Ensempligracia. Parabola ad crianeulum, (hoc e Te
  12. sublecundanorum ad seriem primanorum,) uc 3 ad = vel uc 4
  13. ad 3. Semi parabola complemencum ad Triangulum, vel ccia
  14. Conus au Conoides Parabolieum, (hoc est series secundunorum
  15. ad leriem primanorum,) uc 3 ad 2, vel uc 2 ad 3. Semi- parabo-
  16. la ad Cuum complementum, Choc est Ccries sublccundanorum
  17. ad Teriem (ccundtanorum,) uc 5 act 3, vel uc 2 ad F. Sic Parabo.
  18. la 2d paraboloides cubicale, ut 3 4d Z, vel ut 8 ad9: Fc C0-
  19. noides illius ad Conoides hujus, ur Z ad 3, vel uc5 ad6. Para-
  20. boloides cubicale ad Biquadraricale, uc Z 2d 3, rel uc 15 ac
  21. 16: Fr C onoides illius ad conoides hujuss, uc Z ad Z vel ut 9, ad
  22. 1O. FCHC in aliIS.
  23. Incelligc; Li casdem vel xequalee habeane ee bales de alcicudines
  24. auclalcem reciprocatas:) Nam si direrlas habeant vel bales vel
  25. alcicudines vel ucragne, racio ferici unius ad aliam, componi-
  26. cur ex rationibus e balium et alcicudinum et ea quae el lerierum
  27. provria. Pura B Parabolae balis B
  28. alcicodo A, Frianguls basis e alcirudo
  29. a; erit parabola illa ad Petangulum,
  30. ut 3 A B ad 3 a6, vel 4 A B 2d 3 a6
  31. ee paricer in caeceris. lem, si Peiangu
  32. li basisB, alcicudo A; e ParabOI~
  33. batisB, alcimdo a, erie Parabola ad
  34. Priangulum uc E a B ac = AB, vel
  35. 4 aB 2d Z AB.
  36. Demonstracio paret Cum enim Pa-
  37. rabola AB sic ? Paralleloerammi A B,
  38. _ Triangulum a C. E P rallelocramam
  39. a6 ericilta ad hOC UL 3 A B ad 2a6.
  40. he limilicer atiis

Cite

Qua Continentur De Angulo Contactus & Semicirculi, Disquisitio Geometrica. De Sectionibus Conicis Tractatus. Arithmetica Infinitorum: sive de Curvilineorum quadraturâ, &c. Eclipseos Solaris Observatio, fol. 53. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/824573315:0265?run=74