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. 129

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.

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The machine reads it as

  1. ProD. 165.
  2. Arithmetica Insinitorum.
  3. dracura C irculi vel Fllip(eos, (aliarum q; aliguoc curvarum: s
  4. nempe uc inquiracur jam racio quam habet intinica series Ra-
  5. dicum univertalium Binomiorum, Sicur illiC APOLOMATUMI.
  6. Ec quidem aliquando procliris eram ut crederem rem pla-
  7. ne impostibilem esse uc Radices Curdx numero intiniex ec invi-
  8. cem incommensurabiles ita in unum asoreeatum coire postine
  9. ut illud, ad expolicam aliquam quancicacem racionalem, cario-
  10. nem habene explicabilem.
  11. Acq; hoc quidem eo masis adhue contirmatum esse videba-
  12. cur, quoniam ejulmodi series finica ad seriem cocidem maximz
  13. aequalium rix aliam passa est racionis explicacione quam om-
  14. nec Exillatim repecendo, raro enim duXe vel pIUreS OCCUTKUnE
  15. commenlurabiles qua in unam addicione colliei postinE.
  16. Verbioracia, si ponatur circuli radiuc parcium 6 sinus recti
  17. in Ouadrance lineulis parcium iltarum cerminis insistentes, e-
  18. rUNE, V: 36 O: F V: 36 = 2. FV: 36 4: tV: 36 = 9: + V: 36
  19. 16: + Y: 36 25: +V: 36 =36: (per ea quae dicta Lunc ad pr. 121.)
  20. vel quod eodem recidic, 36t135+132+ 1277V20+177+10;
  21. vel, uc irrationalicos ad minimos cer minos rcducatur, 6 + V33
  22. + 4V2+313+215 4V2210: Racio ixicur quam habet illud
  23. radicum axxresarum ad radicem maximum cocies politam,
  24. Puca 7V: 36 = O: vel 7V36 vel 7xo hoc est 42; non explica-
  25. eius efferri porest quam
  26. 6+35+412+313+215+ ~21+0
  27. 42
  28. ACq: ca eA ratio quam habene illi sinus recti in Ouadrance ad
  29. cocidem rectas radio aequales e Parallelas in Ouadraco circum-
  30. Icripco.
  31. Paricer, Eponacur radius parcium 10; crunc Enus recti
  32. N: 200 = O: +V: 100 - 1: 4 V: 100 4: f V: 100 , 9: 4V:
  33. 100n 16: fV: 100 25: + : 100- 36: + V: 100 40: +
  34. 100 in 64: F.V: 100 = 81: t v: 100 100: HOc ck
  35. ~100+ 199 + 196 + ~ 92 + V 89+ 1757 V6a + ~51+ 136
  36. + Vi9 +V0. Vel ciom 10+3~FI + 4V6 + vor + 2V 21+
  37. 3V3+8+ N 5T + 6F ~19+0. GuOd APETCERLN nen alitee
  38. abbreriari porest quam pro 10+8 + 6 +0 1WRir. et do 24; uC
  39. Facio iltins aeeresaci ad radicem n eX: M Am ICLIES PCLEZM, PU.
  40. ca 2d 22V 100 vel 11X1O vel 11O, nen explicarius cAcrrI FO-
  41. test quam
  42. 4t3.114416+ 191 +21214513+ 451+ Y19

Cite

Qua Continentur De Angulo Contactus & Semicirculi, Disquisitio Geometrica. De Sectionibus Conicis Tractatus. Arithmetica Infinitorum: sive de Curvilineorum quadraturâ, &c. Eclipseos Solaris Observatio, fol. 129. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/824573315:0341?run=74