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Leibniz-Handschriften zur Mathematik LH 35, 11, 18C, fol. 52v

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: 0.93.

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The machine reads it as

  1. Sect. 1. Cap. 3. De Ductitus
  2. Causa, mudternativis aestimandis; ut si tres aestimatores à u
  3. dice deputan rem aertiment, unus 8t, alter 90, tertius 96 num
  4. morum aureoeum, medium pretium eligendum erit 267 seu 69
  5. aureorum: Idem m’alea et aestimatiome spei obtinet. Eodem
  6. autem modo et meduum. Geometricum inter plures quantitates
  7. intelligi
  8. potestcujus scilicet logarithmus est medium arith
  9. meticum interi logarithmos quantitatum.
  10. Serop. 18.
  11. Applicatum totius resultans ex applicatus constitu
  12. entium, est medium arithmeticum inter omnia appolicata
  13. aequalium totius elementorum.
  14. mt (
  15. rg. 19.) ipsius AB elementa aequalia 01, 12,
  16. 23, etc. m quae ordinatim ducantur quantitates 0. 10; et
  17. 1. 11; et 2. 12; etc. Ut si elementa o1, 12, etc. sint partes
  18. virgae, et quantitates 0. W0; et 1. 11; etc. sint ut partium gra
  19. vitates speufiea, erunt partium moles seu pondera ut ipta
  20. rectangula 10. 0. 1, et 11. 1. 2, etc. quarum summa est pondus
  21. c
  22. ga, dat BG gravitatem ejus speuficam (mediam) per def. 5.
  23. Sed eum eadem sit rectangulorum ubique latitudo, idem prodit,
  24. si dividas summam longitudinum per numerum elementorum
  25. aequalium, quorum unum quodque consideratum. initar unitatis
  26. nihil matit. Itaque BG est medium arithmeticum inter
  27. omnes ordinatim applicatas 0. 10, et 1. II, et 2. 12, etc. Idemgs
  28. est, et si partes iptius AB sumantur data quavis minores,
  29. atque adeo st figura sealaris abeat m. curvilineam.
  30. Prop. 19. Probl.
  31. Medium Arithmeticum invenire inter quantitates nume
  32. ro infinitas homogeneas, inter quarum duas quas vis alia et
  33. Ips.

Cite

Leibniz-Handschriften zur Mathematik LH 35, 11, 18C, fol. 52v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068193:0106?run=74