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. 181

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.

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

The machine reads it as

  1. PrOD. TGI.
  2. Arithmerica insinitorum.
  3. dliamerri Ouadratum: E, uE Numerator ille ad Denominaton
  4. rem. sic Ouadracum illud ad Circulum.
  5. Si quis aurem curiolius inquirar, quonsq; continuanda erit
  6. illa milciplicacio. concinua, uc tandem ad differenciam dacum,
  7. Ere ipla minorem perreniaur: Nempe uc numerus justo ma-
  8. jor, numerum jucto minorem, ipsius parce quan libce exisua
  9. Cret ne illa quidem) superec: Id hoc modo inveltisabi-
  10. EUT.
  11. Ouancitas major dicacurm, minoen, (cq; carum differen-
  12. cia, ictius pars quancum vis exisua; PAT2 B m = m - n 3 de
  13. quaeratur quoulq; continuanda eric operatio, hoc cAt, quis Fu.
  14. curus est numerus 2 mulciplicacorum maximus, ut illa differen
  15. tia (vel lalcem ipta minor) prodeac.
  16. Ouoniam isicuem - n = b m, exIE N = I = B m; Et M.
  17. n:: m. M = B M: : p M. B M:: b. b na a : : Z. V: 2 =
  18. 1. (per modo demonAtrata.) Ideoq: B V: Z 2 = L: = b 2
  19. in a 2. FC (vtrinq; ouadrando) b 2 Z 2 = B = =B = 2 2 +
  20. 42 22 = D ab~ 2. ACq; (dclendo verinq; b = Z =, _ reliqua
  21. cransponendo,) 2 ab 2 = a2Z 2 = b 2. FF deniq; (uerin q3
  22. dividendo) 27 = 2 ab a E. Hujus igitur numeri radix quactra-
  23. Cica, (si Fverie nAmeruS PAE,) vel Calcem, (siveli Fractus vel Curdus
  24. sic vel numerus impar) par numerus illa proxime major, Fucurus
  25. ckmulciplicarorum maximus, uc altignara differencia, vel ipla
  26. dalcem minor, prorenine. Quod erac imrettis andum.
  27. Idem Aliter.
  28. Posthanc aucem nostram, ipsius grancicoris a desonatio-
  29. nem; libet eciam aliam lubiunsere, quaem a Nobilissimo Viros
  30. acq; acuciltimo simul Geometra, Dom. CWliel. Vicccon, ee Ba-
  31. rone Brouncher, acceDi.
  32. Com illi propcessionum sliquoe mearum propoluerim, e
  33. qua lege procederen indicaver im, id interim rogans, et qua Fur-
  34. ma quancicacem illam commode detionanidam pucaveric, indi
  35. CareB

Cite

Qua Continentur De Angulo Contactus & Semicirculi, Disquisitio Geometrica. De Sectionibus Conicis Tractatus. Arithmetica Infinitorum: sive de Curvilineorum quadraturâ, &c. Eclipseos Solaris Observatio, fol. 181. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/824573315:0393?run=74