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. 130

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: 0.87.

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The machine reads it as

  1. 130
  2. Arithmetica Infinitorum.
  3. PrOP. 165.
  4. quae minus acthuc ridecur incelligibilis quam abi ponicur radi-
  5. es parcium pauciorum, Dut2 6.
  6. Acg; eodem modo quo plures supponuntur radii partes co
  7. incriestior necesse cstur hiar rationis explicario; quae quidem
  8. Fere omnium radicum repecirionem postulet, cum paucae ad-
  9. modum, raro quidem, _ non nili Forcnico qua(I, OCCu. ruNE, qua
  10. vel racionales line vel quidem invicem commenturabiles. LF
  11. Propcerca si Cupponacur Radius parcium intinicarum, racio
  12. Proreniens eciam minus achuc vidcacur explicabilis.
  13. Idem concingeret, li, JuXta CenOrEM PTOP. 135. DONaTuIE
  14. circuli Diamecer parcium 12. Iea enim elfene Sinus recti corre
  15. spondences in Semicieculo. V: Ox T2 - O: +V: 2Z T2 - 1:
  16. 4. V: 2X224: F V: 3C229: +~: 4212 - 16: +V: 5X 12
  17. 25. + V: 6X12 n 36: + V: 7 X+2 no 43: + V: 8 XI2 in 64: + V3
  18. OXF2 nn 8F: + V: 1OX F2 = 100: +V: ELX 12 = 121. FV: 1DX 12
  19. on 144. HdC cR V: 0 - O: F V: 12 = L: + V: 24 = 4: +V: 36
  20. d: tr: 48 16: +V: 60 nn 25: + V. 72 = 36: tV: 84 n 49:
  21. N: 96 - 64: F V: 108 n 8T: FV: 120 - 100: + V: 132 - 1215
  22. V: 144 = 144. HoC eA N0+ ~ TTFV2O+ V27+ 1324 35
  23. rN36 + V35 + 132+V27+V20+ V11 +V0. Ve provice
  24. ealdem radices bis oolicas, 2V0 +2V Tr2 2V20 + 2V27 +2N32
  25. 42V35) f ~36 Vel, reducendo irracionalicacem ad minimos
  26. terminoe, o+2V1I ++ V5 +6V3+8V2+2V35+6. Racio igi-
  27. cur quam habet hoc 20gregacum ad cocidem radices maximae
  28. aequales, puta ad 13V36 vel 1376, hoc cA, ad78, non exrli-
  29. cacius eHferri porerit quam 2V 12 14V 5+6 Y3+ a V +2Y3576.
  30. vet
  31. N71 + 2N5+ ~ 2+. N2 +. 25 +.2
  32. ACq; ea est rario
  33. quam habet rogresacum istorum sinuum rectorum in Semi
  34. circulo, od cocidem rectas radio equales e parallelas in Paral
  35. leloerammo huic Cemicirculo circumseripeo Siaucem InuS
  36. moximus V36=6 lueponacur bis poni (peo vrroqi Ccilicet
  37. quadsante (emel) acqi capropter pro 13 xqualibus, POnantuE
  38. 24; (DATa, DeN 1316- = 78 DOnaCUCT4n 6-84;) eadem erit
  39. hiac racio cum ea quam lupra proveuire diximus polito radio
  40. Parcium CCX.
  41. Paricer, si Diamecee ponatur partium 20; tnus recti in Se.
  42. MmiLIFCULOCTINE V: OK_O O: LY: R X2O= 1: +. Y: 2720- 4:

Cite

Qua Continentur De Angulo Contactus & Semicirculi, Disquisitio Geometrica. De Sectionibus Conicis Tractatus. Arithmetica Infinitorum: sive de Curvilineorum quadraturâ, &c. Eclipseos Solaris Observatio, fol. 130. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/824573315:0342?run=74