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[Johannis Wallis S. T. D. Geometriae Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica] Johannis Wallis S. T. D. Geometriæ Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica, fol. 207

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: 0.89.

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The machine reads it as

  1. Cap. XXXIX. Au OStLA.
  2. A. D: : a.
  3. B. 4:: B. O.
  4. A. D:: a. 4. 4. 240:: 20, 600.
  5. 3. 600.: 4. 800.
  6. Nam primo 9 =, D. adeoque lecundo = 9 = - D. F. c tertio s =
  7. a B
  8. Q= ABC D. Ouod erat demonstrandum.
  9. Nocandum aurem, quod quem nos in praecedencibus secundum appellariimus cer-
  10. minum, tieri pocelt cerrius; adeoque quem certium appellarimus, sccundus: ho5
  11. enim duos cerminos, in Proporrione directa, pro arburio sedes mutare polte, jam
  12. fuora universalier diximus. Adeoque perinde omnino est sive dicamus PP.
  13. L: : 2~. N. sIvCP F, XT:: L. 2. Trem perinde est sive dicamus ABC. D: : aB7.
  14. S. sire ABC. aB7:: D. S. Duod monuisse Lusticiat.
  15. Acque haec quidem dixissè sufticiat de Proportionum Regula compolica, dum.
  16. modo sinsulae Analooix componentes sint directae.
  17. Pieri aurem porest uc Analosiarum componenrium altera directa sic, aleca
  18. Reciproca.
  19. Exempli oracia. Si 36 =A dibrae panis, sufficiant militibus 3 = B, in dies
  20. 6 =C; libra 180 = a, milisibus o =B, in quot dies sufficient : puta in dies r.
  21. EIt quidem hic analosiarum alcera directa, nempe Si librae 36 = A, sufficiant
  22. in dies 6 =C; librae 180 = a, sufficient in dies quot? Puta g = 30. AE altera
  23. eAt Reciproca, nempe Si militibus 6 = B sufficiant in dies 30 ==9; militibus
  24. C, sufficient in ares quot: certe non nili in dies pauciores, propter plures mi-
  25. lites, mempe, in dies 20. Adeoque illie, resula directa eAt actribenida; hic recipTOCa
  26. Nempe 36. 6: : 280
  27. 36. 6: : 180. 9 = 564280= 30.
  28. 3. 4: 9. =3x9 -3x30 = 10.
  29. 7. 8. C. 1:: 7. 8. 2. 800:: 2. 400.
  30. HCI L. C:. a
  31. A. C.: d. 4.
  32. B. 9: B. 7.
  33. Adeoque g = C. L+ Y
  34. X
  35. = BA
  36. Si autem libeat pro duabus his operacionibus, unam compotiram substituere:
  37. Factus ex duobus divisoribus (pura termino primo analogix direetxe _ tertio re-
  38. ciprOCx) erit compositus divisor: (adeoque in analoeia directa, terminus primus:)
  39. factusque ex multiplicatoribus, compositus multiplicator: Cadeoque, in eadem ana
  40. loeia terminus tertius, in secundum ducendus.) Hoc est, Cin expolica quaectionem)
  41. AB. C:: aB. 7 = , C. ut prius.
  42. AB. C:: Ba.
  43. Ft quidem, quoreunque tuerint analosix componentes, sive directae iul AV Kesiaa
  44. bit terminum quae sitit.
  45. reciprocae, id universater acudum. Lub omnibus Divisorons (nempe cernuo scetmes
  46. primis analogiarum directarum ec cerriisreciprocarum,) continue ductis, fiat Di
  47. visor: ex reliquis omnibus continue dultioz idendus; adeoque duotrens exde
  48. Arque hactenus de Regula AICa CoIIa, lEquItuE Regula Societatis, ducla.

Cite

[Johannis Wallis S. T. D. Geometriae Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica] Johannis Wallis S. T. D. Geometriæ Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica, fol. 207. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/851387705:0227?run=74