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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. 789

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: 0.78.

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The machine reads it as

  1. PFOP. XIX. DeCalculo Centri Cravitaris.
  2. Tux ray 3 a b3 = 3 a R3 = 4 a V R + 2 a. V R - 3 a V = 3, a R3 = 24. 5, R ∞ 5 aV; FiB. 169.
  3. =8aR3 = 3 aVR 2= 3a S R = 3a 5V: Ft respectu PA, qh R = 5 a b2- (Duo d 270.
  4. etiam erie momentum, respectu ra, aciem habentis T A. ) L1M
  5. IIlud icaque (Ungula bBa B, aciem habeneis ra momentum respectu ra
  6. ex Momenio Ongula quacrilinei bBa A, aciem item habentis ran respectu ra
  7. (nemPO Sf R + Z SBR 2 =553 R = Ea R3 + 15 5 R3 = 25V R Z 353 R, per
  8. SC.) subductum: selinquit = a R 3 + 85 R3 + 3a V R Z L 35V R + 3B 5 R
  9. == S R = = a s= V = 8f R3 = Zs B R 2 = 3 s R -- 3 a B, monencum OnSuIX, FrI
  10. linei bBA, aciem habencis ra respectu ra; ejusque (proprer magnicudinem,
  11. =3 a R = + E5 R= + aV R = = 5V R + 5a 52 = 3 f R = =5BR = Z aB per 5 F.
  12. PEOV. 17. )Distancia Ceneri Graritatis a Ta, erie (R L ccsvet os
  13. 66cR + 48 a D X2 L LB5VR2 + 4B a S R = 4 53 p = +2 a f2 2
  14. 45 CR + 36 av R - 950R + 18 a S
  15. 30fR = 18 sB R - 4 5 R - 12 a B.
  16. 275R = 95BR = +8 a B i d YA
  17. a bB, 30]R. + 18sB R. - 45. R - 12ab
  18. 27fR + 95hR - 18ab
  19. 24F = 36 ab R + q B3 R L 22 a B
  20. B-
  21. 27fR 2 = 95hR = +8 aB
  22. 24]R 36a B R + 4. s. R + 12 ab
  23. 27fR + 9 shR - 28, aB
  24. 240 R. + 3a0 R + 2750R2 = 24 a 5 R + 5 s R + 6a s V: Adeoque c.
  25. 45 et R = = 45s R = + 36 aV R - 9 5V R = 18 a 52 110
  26. juldem respectu TA momencum, 3f R3= a b. R = 5s R + =a B = - 3C R.
  27. F 3a2 R 5as R + 3S) R = 5aS=V; _ respectu bB, Ef R3 = 3 a b R
  28. = = SB R = 35 R S B2R Z a B3 H 30R3 + , a 2 R 2 +2 5V R 2 11IPZ I 5. H
  29. 365 R + 5a 532, ~11. 55I3BCsis C at El ne
  30. AEque ex illo porro momiento Dneulae ipsi BB A intistentis, aciem habentis
  31. ra respectu iplius ra; li Tubducatur Prismatis eidem bB A inliltentis, alcicudi-
  32. nem habentis Va = p, momentum respectu iplius Ta; hoc elt, ipsius bB A,
  33. respectu ejusdem ram momientum in B = 2R= v, ductum; hoc et (per 8Y
  34. DEOD. 17.) = ECR = + 4VR - = 5V R + = a 5= In B = 2 R = v BOC, est
  35. EcBR Y + a VB R 4 sv B R + = a s 2 b = = Z e R3 + ZC V A3 + 2 s 5 R
  36. 2 sR = Z a sv: Relinguicur Onsula eidem BB A insistencis, aciem habentis
  37. DB momencum respectu Z a, Z a R3 = Zs R3 + 1 AV R. + 35V R = 3a SR ( 8 S R
  38. +5a s v. Ageoque (propter MaB. 3C R 2 + 3 50 R - 3 a 5, per 5l. pr. 17.) Dictantia
  39. Cencri pravicalis d r a, 24 E. F 3 av p. + 27 50 24 as) R. + 5 5 R + 648
  40. EtO l eRE+ 275~ R0 L1LB B S
  41. orids
  42. 30CR = 3 av R2 + 27 50.R2 = 22 a S R -= 1 A R = 6a5 2, 2t
  43. de d FA,
  44. 27eR f 3750 R = 18 aS A A tL. in, atIuC
  45. 270 R3. 27 50 R = 18 a s curtq suvii Ejutque mo-
  46. sissiole
  47. meneI respectu TA, 3CR3 = EaV R2 + 3 5V R = 3 a 5R - 13 5 R - 7aS2V:
  48. Ec respectu BB, = sC R f 3aV R + 3 a5 R = ib s R a 5 v
  49. Idemque SC R = + aV R + 3 5V R haS R B5 R = Ea s v, est momeneum
  50. respectu bB, Ongulae cidem bB A insistentis aciem habenris L’A, (propier aliicudi-
  51. nes e diltancias ubique reciprocatas:) Adeoque (proprer magnicudinem; = ZC R
  52. = av R F = 5VR = = a 52, per SF. PrOP. 117.) Diltancia Generi Gravicatis
  53. 1pe st c
  54. = 270R + 36 av R + 95u R = 18 4 5
  55. on: Adeo.
  56. que 2 F4, = 30C R3 + 4B av R + 185V R = 24 a5 R 45 R - 12 a 5t V
  57. 270R 2 + 36aV R + 95VR - +845
  58. eit
  59. R3 + 24 av R = 12 a S R + 4. 5 R + (2a 5 V. pjusque respecti
  60. 27CR + 36a0 R + 9sv R -= 1845
  61. 688653

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. 789. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/851387705:0809?run=74