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. 91

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: 0.76.

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The machine reads it as

  1. PROP. 37.
  2. 02 12+
  3. DeSectionibus Conicis.
  4. + 029 +0249 + 205091052140s leF a
  5. 02d2 +,292 + 20c9 + 88c, + 105, 2 + 5 2, 2
  6. ∞, 8e 20+5 -E
  7. DANDa.
  8. 0
  9. (ve2 quia 2 F d
  10. Cvel quia ots
  11. d ∞ F02 92 + 202C9 Y sC =
  12. Deinde (quia propcer Hyperbolam, Ogadraca Ordlinacim-
  13. applicacarum Cunc rectansulis diametro incercepra et 20grex+
  14. codiamecrorum crantrerse e inerceptae comprehenis Proxor.
  15. cionalia) cricHA Ha == d2. DAND:: Haq =-B. VO,
  16. 0 12+029 = 207c9+ 5 12
  17. 62d2
  18. Icem (proprer Cimilia Priangula) HF. Hu:: DG. DO. hoc
  19. d2
  20. cA
  21. h:: 342 =0c9 3d2 = scq B = DO. ejulque qua-
  22. aIaCUM.
  23. 2222 +8
  24. 5d2
  25. = 207d269
  26. 0 u 2
  27. d2 + 029 + 207c9 + S p
  28. 5d∞
  29. 2 = D
  30. Ideog; (uerinq; mulciplicando per 52 12 27 e dividendo
  31. Per B2) 7 a2 22 +02 c 9 + 207d29 = 02 a 2 + 02 d29 +
  32. 207d2cq F SCdZ. Fc (delendo vering: + 307 dZC9, 2193
  33. eransponendo) 52 c 9 - 0 d29 = sd21 - 7 1 2 +52 1 4
  34. EC (quia 7 = 5 = se, Per b C2,) 6 c 9 - 0 d29
  35. SEdZSEu Z. Et (diridendo utrinqi per c = d2 = = 1 2)
  36. Crit 5 g = SCdZ. HOC eA
  37. Ficum.
  38. 12
  39. 2 = 9. COnHaT erBO prOpO.
  40. Illud Synhetice sic demonstratur. (rexetieis Aaalyleos vestisiis)
  41. A centro C ducatur ad Hyperbolam C a. Rcgi in puncto a
  42. Ayperbolam continene a. F, diametro cuilibet H A OCCUE-
  43. rens in F; ip(g; Parallela quae libet O0, eidem diameero H A
  44. occurrens in C, _ rectae Ca (productae) in n. DIaCErO aUI
  45. tem H A ordinacim applicetur aHI, ciq; parallela nn cidem
  46. diamecro occurrar inh. Fademq; sux prius maneane Cymbo.
  47. La B, d, 1, 2963 896, 736.
  48. ttas cha

Cite

Qua Continentur De Angulo Contactus & Semicirculi, Disquisitio Geometrica. De Sectionibus Conicis Tractatus. Arithmetica Infinitorum: sive de Curvilineorum quadraturâ, &c. Eclipseos Solaris Observatio, fol. 91. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/824573315:0175?run=74