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Solvtio Problematis A R. P. Marino Mersenno Minimo Propositi, fol. 5

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.

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

The machine reads it as

  1. Expenditur, determinatur, (5 soluitur legirime del
  2. Propositum à R. P. Marino Mersenno Minimo.
  3. is cribus quibua acus Tactaous ret
  4. onalibus, cacse altarum ex illis Logarichmis, certia
  5. richmunt sesmerrice invenire.
  6. Ogarichmorum ea condirice unseHon nili seriei magnicudinum concinue
  7. sproportionalium rite altisantur, proinde postular Problema praesens, re, l
  8. expolca lc ollalus lecles
  9. Comcinue proporcionaliu
  10. A,B, C: D; ec. in caque al
  11. Lucatur quaeuis magnieu-
  12. dines A X C, quarum L0
  13. Donebatuis
  14. adiraror esse quodam in calu demonstravero, cuicero cerre, non recte neque
  15. Lieometrice tuisse po
  16. Parichmi sine dati, altumatur aurem quae uis maptitudo L, Geometrice determiu
  17. netUE, quoTa AIC I. maonitudo in ca ter Guaneitatum in Concimua ratione COM-
  18. Ricutarum, in quầ suncmagnicudincs H d C. determieur que Palecaguo
  19. Ex _ illa lint in eadem serie. HIBC cerre li praeltiterimus lolurum erit quod pro
  20. Verumillud expendendum est imprimis, an Probleta prout propositum est
  21. rniuerlim, de illimitare, recte problemacis nomine indigitari possie: nam s
  22. Veigicur clarE procedamus, percipiamur que, expenatur series aliqua guranri
  23. tatum gua sine in eadem analogia A, B, C lapauque eamprogrestionemi
  24. Tcesrque prorrioueri, scilicet per cucene quancitatum in terminis D, P.
  25. ccc. _ perincrementum cinsdem serici per ces l. CdC. exponaturg; quae
  26. Crimo. An illa sic vna e numero magnitudinum qua lanchsbgrestione lerier
  27. exposce rarionis Ci ad F, Auc an tacte aet L.M alguocies mulciplicata,
  28. uis quantitas L. Dehac magnicudine l. plura quaeripollune, ac illud imprimis
  29. v. 8. triplicata, quincuplicata, centuplicatarationis e ad F, auF F ad C, AI.
  30. maior lic quam C.
  31. Secundo. An alix series magnitudinum porsine exhibert, Gua HISUIaS LACUM
  32. quantitarum qua lunc in Corie A, B, C, aut CyF, A, ec. contincan. IC de Lalo A
  33. ad B. irem B ad C, ec. sic duplicaca, quinicuplicata, ceneupCaca seC. FaTIONIS
  34. quatmhabecprima ad Cccundam alceriusseriei incermedix.
  35. Lertio. An polito quod quancicas L. non conrineatur in lerie LLBC. Ponla
  36. lodo complectatur.
  37. Ouareo. Anposiro quod quanciras I; in on2 serie progressionum harum extri-
  38. reperiri in alia quadam Perie progrenionum, qua toram A, B, C, D seriem dicto
  39. terierum in intinicum, repolterior lemper includat luperes.
  40. veri poltie, in omni serie Propolicd polsic reperiri. s ita mulciplicetur numerus
  41. 1 1 1. . 1. 1 1 1 1 e 1e 1 n t e a em te

Cite

Solvtio Problematis A R. P. Marino Mersenno Minimo Propositi, fol. 5. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815206918:0010?run=74