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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. 36

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.

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

The machine reads it as

  1. ectoum nol
  2. drithmetica insinitorum.
  3. DROD. ZLV. Corollarium.
  4. PrOP. 45
  5. Inc discimus methodum inveniendi aream com-
  6. plementi Parabolae, S. Paraboloideos Cubicalis,
  7. Biguadraticalis. Surdesolidalis, aut superioris
  8. cujustibet potestatis; e consequenter, etiam aream Pa-
  9. rabola, ant Paraboloideos enjuscungi potestatis. Quod o-
  10. stendere pollicitus sum ad prop. 48. Con. Sect.
  11. Nempe, cum complementum Parabole (rel Semiparabola)
  12. Eic Caries secundanorum, (uc diximus ad prop. 23;) comple
  13. mencum Pacaboloidis cubicalis (vel Cemiparaboloidis,) le
  14. rieo Terrianorum, (ac diximus ad prop 42;) alg; Ccedem ra.
  15. cione) complementum Paraboloidis Biguadraricalis, seriet
  16. Macinorum; complementum Paraboloidis Curde tolidalis, le
  17. ries Ouimcanorum; ee sic dcincepo: Frit horum racio ad Paral
  18. Lelosrammum circumscripcum, (Ceries nempe Locidem maxiu
  19. mo aequalium,) ea qux cA 1 ad 3, 1 ad 4, 22d5, 72d 6, _ sc
  20. scinceps: juxra cabellam propolicionis precedencis. F.F conte
  21. quenter, ipla Parabola, Paraboloides Cubicale, Biguadracicale,
  22. Surdelolidale, _C (quae nempe cum luis complemencis aquan-
  23. cur Paralhelosrammis circum(criecis) lune ad Parallelosram
  24. num circum fcriprum, uc 2. ad 3, 3 ad 4, 4 285, 52d6. &c.
  25. SCHOLIVM.
  26. Exhoc quidem pacto licebic intinicis fguris curvilineis Xqua.
  27. les rectilineas constiruere. Ouodq: in Pol. Parabolo (lumma
  28. cum admiracione) prasticic Archimedes (_ PoRillum alii;) id
  29. nos in Paraboloide cujulcunq; poteltatis jam praesticimus.
  30. Oux aurem de Parabolis _ Paraboloidibus huculq: eradica
  31. Eune, aur etiam adhuc deinceps cradenda, possunc etiam Spirali-
  32. bustacillino negocio accommodari. Si enim supponamus re.
  33. ctam MT continue auseri, non quidem in eadem ratione cum
  34. anguloPMT, (ur in Spirali Aechimedca,) sed in ejuldem raci-
  35. one duplicaca, criplicata, quadruplicaca, _c. orientur alia 2193
  36. alia Spiralium gener o: quarum camen ad peripheriam vel ar-
  37. cum (co sentu quo dictum eA in Schol. prop. 13. d 15.) racto
  38. BOA

Cite

Qua Continentur De Angulo Contactus & Semicirculi, Disquisitio Geometrica. De Sectionibus Conicis Tractatus. Arithmetica Infinitorum: sive de Curvilineorum quadraturâ, &c. Eclipseos Solaris Observatio, fol. 36. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/824573315:0248?run=74