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. 109

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: 0.88.

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

The machine reads it as

  1. P. 136.
  2. arithmetica insinitorum.
  3. dratum Diametri. (Ft quidem mediae proportionales e
  4. runt in subduplicata ratione ordinatim- applicatarum in
  5. Circulo vel F. Uipsc.)
  6. Sic eadem parabola AFO sicu directo, _ PRa sieu inverlo DO
  7. Fica: erune isieur
  8. (ex nacura Parabo.
  9. IX) Oandeaca or-
  10. dinacim applicata-
  11. rum (nempe recta-
  12. FAn DO, DO, _C.
  13. delcendendo; vel
  14. Doo, Da, _c. alcen
  15. dendo,) infinita se-
  16. ries Primanorum;
  17. DUTa a, 2a, 3a _C.
  18. vel. eorum loco, a3 b, c, _c. quorum maximum dicacur D
  19. nempe quadracum Ba(IsFO vel A∞:) EF proprerca, cadem
  20. INVerCO AIEU CrUnE D = a3 D = Z a3 D = 3 a, _C. vel criam
  21. D in a, D b, D un C,_C. Aquale enim cA singulorum incre.
  22. mencum. si a minimo ordiamur, acque decre-
  23. mencum, E ordiamur a MaximO.) EC conseguenter ixlae ordi
  24. nacim applicacae (quippe in quadratorum Tuorum rarione sub.
  25. duplicacas) illic quidem V a, V 2 a3 V 3 a, _c. vel V a- V b,
  26. a c, _C. hicaUTeM V: D = a. V : D = 2a. V: D = 3a_C.
  27. vel (corum loco) V: D La. V: D m. b. V: D = c. _C. Ductio
  28. igicur his in illas, emersunt rectansula OD a. Nempe
  29. Ductis V: D - 2.
  30. In V2.
  31. PienE V: aD - a
  32. V: D = b
  33. b.
  34. V: D = C
  35. V c.
  36. _C.
  37. _C.
  38. V: bD - b 2. Y: CD = C.2. eC.
  39. Horum aucem rectaneulorum omnium secrepium, ad
  40. rectaneulum V: D = O. in V: D = O, hOc CA V D = =D CO.
  41. ties poliemm: Hoc cR, Colidum ex illa mulciplicarione orrum,
  42. ad dicrum Parallelepivedum: eA ut lermicirculus ad quadracum
  43. Dametri per praecedencem.
  44. et proxierea etiam medixe proxortionales incer concieuas re-
  45. CtaS

Cite

Qua Continentur De Angulo Contactus & Semicirculi, Disquisitio Geometrica. De Sectionibus Conicis Tractatus. Arithmetica Infinitorum: sive de Curvilineorum quadraturâ, &c. Eclipseos Solaris Observatio, fol. 109. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/824573315:0321?run=74