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Solvtio Problematis A R. P. Marino Mersenno Minimo Propositi, fol. 8

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. CONFIRMATTONES
  2. omneslineas FTB, IC, IED, L. E, RC. IICMML OIMIMES MICaSLLB, AC, AD,
  3. AF, ec. coneinue proporrionales este.
  4. alymptoro AV parallelas decerminatae, aequales fuerineinter le, dice
  5. demonstracionem ha.tOP. 136. CbCL PaCede
  6. deholtoi
  7. valde disparata videantur haec a scopo noltro, breniter isitur eam doctrinam,
  8. S. T in comrinuaanaesla um, quarum Logarichmi sINE6, 7, 8, 9, 10. _C.
  9. qui quidem meodem temper iene superent excectu, secundum doctrinam
  10. Logarichmicam. ANumpea igitur quadam hrperbola FIINI, cuius atemprori
  11. SInE A V, A C, constiruantur ad eam linex IT B, LC, KD, L. C,MIF, N G, _C. Pa-
  12. rallela quidem ad alymptocon AV, aequales verolineis O, P, 9, R, S, I Aingula
  13. singulis, quod quidemper Corr. prima luiusFacile Her. Fruncigitur per tertiam
  14. huiusomnes superkicies TIC, CK, K F, E NI, M C xqualesincer se. Vnde si cOn-
  15. cinuetur ratio TC. ad TIB, hacqueeidem proportionalis X Z, eagque per Corr. pri-
  16. ma huius ad eandem hrperbolam constituatur, erit d superticies XB aqualis
  17. Tuperkiciebus FI C, C R. ecC. vnde cota superticies hrperbolica X C eodem exces-
  18. Tu excedic superticiem hyperbolicam IIC, quo superficies hyperbolica FI C su-
  19. perat superticiem TO; e rursus superticies hyperbolica TG eodem excessu su-
  20. Perat Cuperkciem K C, e sicdeinceps. Vnde loconumerorum 6,7, 8, 9, F0, IF, _C.
  21. qui ernne Logarichmi magnicudinum O, P, 9, R, S, P, altumere pocerinus quan-
  22. citateshrperbolicas X G, TTC IO,K C, L C, MI G, aUEPOTIIS AE C, L O, R C, TO.
  23. TIO, X C. auc si hyperbola mentionem herinon vis rationes MIF ad N O5L F.
  24. adNCKD ad NO, IC ad NO, IIB ad NC, XZ ad N G, cum hae quan-
  25. citates, ex consequenterrationes, non minusxquali se le inuicem superene excet-
  26. Sus quam numeri Locarithmici qui altumpei Fuerune. Ouare nacuram Logarich-
  27. micam cum sua erminorum continuatione excestu, vides Frperbole ad amus-
  28. LOgathmos comprehenacts lic ostendo.
  29. Ed quorsum hxc inquiess ambases non quaero, ad L. ocarichmos te duco, licer
  30. ANImatuEruETUS Cadem fgura. Sirque series aliqua magnitudinum O, P, O.
  31. sim accommodaram; veiam loconumerorum, liceat has partes hyperbolicasiave
  32. Laciones aictaslincarum altumere.
  33. Veigicur nosaccinsamus tandem ad Folutione Mart Casseualum; Qua
  34. exigua elt ditticultas, cae ocere Piaecu, decolalalet la per hyperbolicas
  35. halcepcoprietates, quas iam propolui, qualque deincepsperlequimui, ablolua.
  36. FuIF.
  37. inicio fuere propolica, sequeres Formo propositiones. Ac primam quidem in qua

Cite

Solvtio Problematis A R. P. Marino Mersenno Minimo Propositi, fol. 8. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815206918:0013?run=74