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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. 143

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: 0.80.

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  1. Cap. VI. Kulum.
  2. lorum ditserencix: vel qui cancundem distat a primo quancum illi ab invicem.
  3. Sequicur ex prop. 21. Si enim, verbi sracia, dilt: B - dist: 0 = dilt: s, hoc est, dilt.
  4. B = dist. c f dilt. f; exic (per PrOP. 21.) B = 0 + f 2; erBo B - c + a = )
  5. 26. Si isicur primus cerminus sic 0; duorum quorumris differencia est cerminus
  6. ille cujus index sire distancia a primo est il orum indieum ditterenciae aequalis.
  7. Ouoniam hoc calu B - c =- B - c a = f.
  8. 27. Trem, hoc casu, terminus ille, cnjus index agnatur duorum indieum ditte.
  9. rencia, eltmulciplum excestus communis, indiei suo (live duorum illorum indi-
  10. cum disserencix) cognomine. Cum enim indieum ditterencia octendat terminorum
  11. distanciam; licque per prop. 9. ditserencia terminorum, D P (mulciplum excestiis
  12. conomine distancia, sive indicum disterentiae;) eric terminusille, cujus index huie
  13. indicum ditterencia aequacus, icem D P; quippe quae elt cerminorum illorum dit.
  14. ferencia, per praeced.
  15. 28. In continua proprectione Ariitmetiea, extremorum aegreguum aequatuT
  16. agereBao duorum quorumvis cerminorum aequaliter ab exFremIS utrinque TCMO.
  17. corum; (Incellige, quorum unus a primo eor abelt gradibus, quoc alter ab ulcimo.)
  18. Nam, Per PrOB. 2. _5; canco unus minimum luperae, quanco alter d maximo de
  19. ticic; propter aequalem verobique diltancia. PULa C = A ] 2F, e 7 =V = 2F;
  20. ergoc + y = A + 2F F V - 2E = A F V. EL lic ubique.
  21. ubi MUCTuS TerMIT CHL IMpar, concingiE) terminus ille biS TumpEIS RequatuE
  22. EXCTEMOTUM aBBTCBATO. Puta expoTILIS a, B, C, d, e : = erit a + e = 26. quia
  23. AOGTCSACUIM exTremOrum aequatur appresato mediorum. Puta A, CL: L, V. Cuu
  24. =Ly 1eC09; = C = H, _M F = A,
  25. hoc estM = A L E; exit N I N - V F + A Y F =
  26. quuntur) proporcionalium, datis cribus quibustibet datur de religuus. Cum enim
  27. expoliis A, M; Y, V. lic, per praeced. A F V =M FN; eric (aqualibus ueringue
  28. subductis) A = M + N = V, V - M + N A, M = A f V - N, N = A f V B.
  29. 20. Sin cerminus omnium mediis ab utroque extremo aequalicer diltet, (quoc,
  30. C = a = e = C, DFOPtEE a Qualem HITOBIG, AMCAHCIAI. LacOGuCC F 6 = 4 1 6 -- 21.
  31. 30. Similiter in quatmor terminis Arichmetiex progrectionis incerrupEx. Nempe
  32. enim, propter communem uerobique exceltum, sICM = A = V = N = F, ideoque
  33. A ] L = - MI, d N - f. F = V, hoc et V -- F =N; CFIE M.
  34. A
  35. H. = A ] V. Vel expolitis V, N; M, A. quoniam
  36. 3F. ErSO, Ouatmor terminorum Arichmerice (ut lo- D
  37. A, BI, N.
  38. Y = M + N = A
  39. M =
  40. ∞ a A
  41. = A + P + V
  42. C) A, L, V.
  43. 12.
  44. A V-
  45. L
  46. M = A f F.
  47. L - A + V
  48. M, L,.
  49. A= A +H 1.
  50. 32. Ex cribus aue A POlettione continua constituris, AEPFC.
  51. satum excremorum aequatur duplo medii. Ouippe terminus
  52. medius, eodem excellu superat extremorum unum, quo ab al.
  53. CerO SUPCTATIT. PUTA A, M, V : -. quoniam elt M = A =
  54. V
  55. H Cn AdCa fC = M = V = C, eric M + M = 2 M
  56. N = A + F
  57. =
  58. 1-
  59. 2M = a fY
  60. 33. L(80, ex tribus terminis concimue progrediencibus Arichmerice datis duo.
  61. bus quibulvis dacur et reliquus. Cum enim, per PraCed. SICZH = A f V; exiC
  62. 2M - A = V, 2M - Y = A, N =
  63. Datio

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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. 143. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/851387705:0163?run=74