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. 160

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: 0.91.

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The machine reads it as

  1. 160
  2. Arithmetica infinitorum.
  3. acq; hic quidem modus omnium optime convenicproD. 3
  4. 26, ubi hguram Sxirali adjacencem cum Parabolica compara
  5. mus. Nam C, in Agura Exirali, ductis quoclibet rectis MI an
  6. sulos taciencibus concinuos invicem equales, s in singulis (p2-
  7. cies lectores inCcribi lupponantur, crunc eorum arcuS, Ut 0, 1,
  8. 2, 3, dC; In circum Ccribi, uc 2, 2, 5, 4, ec; s vero ita abCcribi
  9. uc sectorum arcus a Exirali bi-
  10. SCCeNTUT, erunEUL Z, 123 26,
  11. 32, _C, Vel UE 1, 3,5,7, _C.
  12. (nempe ut differentia nume
  13. rorum quadraticorum:) adc0qi
  14. Aarcusilli (sive numero inf
  15. nicisire tinici, quamris ibidem
  16. de intinicis cancummodo verba
  17. Factaline, adcoq: tranc curios-
  18. earem illic omictendam duxe.
  19. rim,) Cuxponantur in rectum
  20. excendi sc invicem concinuari.
  21. ve tranc cocidem Cegmenta dia-
  22. amecri parabolae (continue potita;) unde cradane diametriin-
  23. TCFCCPEX L, 4,9, 16, _C. (nam 2 + 3 = 4, 2 + 3+5 = 9.
  24. BC;) quibus conreniane ordinacim. applicacxe (quippe in diau
  25. metrorum ratione subduplicata) quae erune ad invicem, uC L,
  26. 2,3,4, _c, hoc eA uc ipsa rectae NI T, MT, Qc, intixura (pirali
  27. vera per similium sectorum terminos cranlcuntes.
  28. Acq; hoc vacto comparare licer, non modo fisuram ex lecto-
  29. ribusnumero infinicis (quod nos illic Fecimes) sed eriam ex nu-
  30. meroEnitis conslacam, spirali adjacencem, cum fioura ex Foci-
  31. dem parallelogrammis adjacence parabole. Ouod quidem (B-
  32. nenora tiguca) lacis incellisi poreric. Si illi sectorum arcus po-
  33. naNEUE + 4, 3a,5a, _C; radii vero (ip(S proporcionalCs) 2r, Gr, IOr,
  34. Rc; erunt lectores Lar, 9 ar, 25 ar, C. (nempe Pemisses paralle-
  35. locrammorii radiis ee arcubus respectiris concentaru.) Sumpris
  36. icem in parabola diametro continuis legmentis I a, 3 435 a, Rc.
  37. adcog: diamerris intercepris L a, 4 a, (= 1 a F 3 a,) 9 a ( = 44
  38. +5 a) _C, e ordinacim applicaris quae illis diamerris conreni-
  39. ane Cindiamerrorum racione lubduplicaca) 2r, 4r, 6r, Ec.
  40. (quae Spacia ab seindane non a que alta, sed quorum alcirudi-
  41. nes sine arichmerice proportionales, ut 2, 303, _C. UE PaLCL)
  42. parallelogramma lpaciis iILISINCCTIPTA CTUNE. LAXOF, 3aX2Y,
  43. P1Op. 182

Cite

Qua Continentur De Angulo Contactus & Semicirculi, Disquisitio Geometrica. De Sectionibus Conicis Tractatus. Arithmetica Infinitorum: sive de Curvilineorum quadraturâ, &c. Eclipseos Solaris Observatio, fol. 160. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/824573315:0372?run=74