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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. 72

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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The machine reads it as

  1. DE A DDEYEONE
  2. Cap. XV.
  3. Nempe SI addantur 3, ut = +∞ hoc ele, l intellisantur pont 3 CubI, d
  4. (propier lignum - contrario sel es Ponendum) auterei FCubus, cancundem est
  5. atque SiPOnantur L CBI (quia 3 = + = 2.) ita Si addancur L X7) de f 23
  6. cum utrumque AIIIEMCCUE, aggreSaTIIHI etL Y 323. Ttem = 228 8 - 32e, cum
  7. A C F F, (quaecunque demi une quantitares (ymbolis illis A, B, C, _c. de-
  8. signaca) ageresal iim erit 2 A = B = D F E. EL parirer in reliGuis.
  9. 5 B1 - 28 -8 + 43 11 1
  10. B - 5b3 = b
  11. 48 - 66.- 2b + 5b + 2
  12. Verbi eratia, Ci supponanns A, B, C, D, F, Sieniticare 1, 2, 3, 415. Trem B, b
  13. B3, B2, Tieniticare 3, 0, 27, 8c. tancundem valebunc illa atque hac.
  14. m
  15. 405 = 54 9 f (2 =354
  16. 8F - +35 -0
  17. F4
  18. 2.2 L
  19. 324 = 262 18t +5FC = 260
  20. In subductione hae obserrandae lunt Recula.
  21. T. Si siena sint Dissimilia, subseribenda est quantitarum summa, cum sieno su–
  22. suctione. Perioris, nempe quantiaris minuenda seu illius unde facienda est subducdio. PuLa
  23. s Cx - 3 auteramus F 2, reliduum erit - 5. Nempe si supponantur jam deeste
  24. 3. e ulcerius auterantur 2, tandem decrunt 5 = 3 + 2. Trem Si ex f 3 auteran-
  25. HT = 2, reliduum erit f 5. Nempe s jam ad(inc 3 Ec inTuper tollatur, (hoc ett
  26. suppleatur) defectus duorum, sire reltituantur 2, jam tandem aderunt 5 = 3- F2.
  27. 2. Si siena sint Similia, subscribenda est quantitatum Differentia; cum sieno
  28. communi, ubi quantitas auferenda minor est: sed cum sieno contrario, ubi quantitas
  29. auserenda est major. Puta, si ex F 3 auteranEur = 2, manebir f F, quia
  30. 2 = F; Si vero ex f 3 auterantur + 4, manebit = +, quia 3-
  31. supponitur nempe x deeste. Trem si ex = 3 auseramuS = 2, manebit - F; quia
  32. nempe incellisancur decsle 3, ee aliserantur- 2 sire suppleatur defectus duorum,
  33. hoc elt, h resticuantur 2, tandem decrir non nisi L: Si vero Cx - 3 auteraus
  34. qu manebic = C; nempe ubi dcerant 3, _ rellicuancur 4,, aderit L. Ec pariter
  35. in aliis.
  36. Ouxhrredus veranique conjunctim (C eert, Subductio speciosa conjumeit ultam.
  37. que masncudinem datam, mutatis omnibus senis quanticatis subducendae.
  38. tlis explicatis exempla sequencia non silticulter perciptencur. Nempe, si
  39. du
  40. FX.
  41. +3∞ - 225 +520.
  42. auter. + 2
  43. 278
  44. 3
  45. 278 +3
  46. reltat. + 1∞ - 125 +52 = 8
  47. rel 3C- 20 + 3R -
  48. C- 1O = 2R +3
  49. 2C = 2O F 5R - 8
  50. 15) 3AC = 2A9 = 3A - 5 323 = 24 + 34 = 5 3aaa - 294 = 3a - 5
  51. 2AC = A9= 2A = 3 20 = a - 20 =3 2aa aa = 20 + 3
  52. AC = A9 + 5A 8 11 a = a +54 - 8 aaa = aa + 5a - 8
  53. Cx 3 ∞ auterantur Z D, manebit F ∞; quia 3 = 2 = F. Trem, (I Cx = 22 au-
  54. Feramus = 128, manebit =- F 23; quoniam, li ubi deerant quadrata 2, auteratE
  55. vel suppleatur defectus unius, hoc elt, resticuacur x, deerie adhue quadeatum u-
  56. num live rZ3. Irem, (1, ex 3R auteramus = 2R Cupertune + 5 R; nempe (I
  57. ubi aduntz radices, reltituaneur adhue 2 radices, aderunt omnino s radices. De-
  58. nique si ex -5 auterancur f 3 reliduum exit -8: nempe cum jam delint 5, (
  59. adhuC
  60. omnino 52, quia 2 f 3 == 5.) denigue F Se q Mc L; nempe uno plus
  61. sulis Tummuns collectum) clt F L C + 328 -52
  62. uerumque negetur, erit .52e, guenum collic 22, e toltu inluper 3 2e, collie
  63. Eollicur quam apponitur. FC propcerea aggregatum duorum addicorum. (ex Lin-
  64. Sic in exelBlis sequentibus, II AaIIIL A f B - C, 8 - 2B f 2C - D e
  65. Im dub
  66. l1
  67. uOt
  68. riea
  69. des

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. 72. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/851387705:0092?run=74