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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. 834

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: 0.82.

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  1. De Calculo Centri Cravitatis.
  2. Cap. V.
  3. Fi3. 166, Vel etiam Sc colligitur, ejusdem b Ba. V Ongulxe, aciem habentis Aa, respectu
  4. iptius A a, Momeneum.
  5. Rectae Praperium complentes, ab a B incipiendo, usque ad bV; Funt , A s,
  6. AF 25, A F 3s, _c. usque ad A F S. Parumque puncta media, seu graritatis
  7. centra, distantias habenE, 3A, Z A F 35, 3 A +35, 3 A +35, ecc. usque ad
  8. EA+ =S. Oux in rectas illas ductae, exhibent carundem momenta, Ceu Frian-
  9. sula rectis illis infiltencia Ongulam complentia, 2 13, Z A2 = s A + Z52, E A2 +
  10. 25A+ Z, 52, Z A = 35 A + 252, _c. usque ad 5 A + S A F 3S2. Fadeque
  11. Friancuta, ducta in carundem respectire distantiam centri gravitatis ab A a,
  12. nemDe Z , 3 = 35, 3 A = 35y 3 A +55, eec. usque ad 3 = 3S; extribent se.
  13. riem Momentorum, corundem Friangulorum, respectu A a; Z 13, Z 13 + 5 A
  14. S A = 353, 3 A + 25 N + 45 A + 35, 3 A = 35 A2 F 9s A + 2353, 8c.
  15. usque ad 3 A F S A F S A F 35. Ouarum omnium aGGreGATuM (per PrOP.
  16. T.) PEOPIeE V a =B, clb, SB A3 + =BSA = sBS A+ BS. Seu (recti.
  17. cuco ralore minuscularum,) Za3B F Za SB- F 5a 52 B -f =53 B. VE prius.
  18. 2+ Su in Z A + Z5, = Z A2 + 5 A+
  19. 2
  20. A + 25, in = A = Z5, = = A + 25 A + 352.
  21. A + 35, in 2 A + 25, = : N + 35 A + 35
  22. Sec. usque ad
  23. 1+ 5, in 3A+ Z5, = 3 ~ + S A + 352
  24. 3bA + 1b52F 1b52.
  25. EA= 3S, In3 A F 5 A + 352, = 3 2+ 5 A + s A+ 353
  26. A = 35, In 3 A = 25 A + 3527 = 3 A3 + 25 A + 4 52 A.
  27. 34+ 35, 12 = ~ + 35 A+357 = 52 + 35 A + 95 A + 35.
  28. cu ec. usque ad
  29. 1+ 35, in 4 F SA + 35, =3 1 + 54 + S A + 353.
  30. B a + 1b5 N + b5 A + ib 5.
  31. Duod quidem noula BBa V momentum, =a 3h f Z a 25B f Za 5 2B. f ,553h,
  32. Teu L. prOpter B = 2R - 2,) Z a R = 3 ad V + a 5 R - = a 5V + 3 a 5 R - = a 5= V
  33. F65 = 253V; ex Ongula ABBa mOmenIO, 22 C R3 =3 aV R2 -85VX2 +
  34. Ea3R + 3025 R + 3aS = R + 5653 R, (modo tradito,) Subductum; Relinquit
  35. Ongula Ab V, aciem habentis Ao momencum respectu A a 2CR3 = 3 a V R-
  36. 5SVR2 = 5a R + 5a 5R + 5as R +. 555 R + 5 a 3 v + 5a 5v + 5a 52 v +
  37. 2530.
  38. Acque hoc, per hujus Ongulae magnicudinem, - 3 0 R 2 = ; a R + : a 5 R. +
  39. SP = 5420 + 5a 50. + 552 V, (per SK, L. PrOp. praeced.) divisum; extribet
  40. Ongulae AbY, aciem habentis Ao, distantiam cenri pravitatis ab Aa,
  41. 870F = 96avR = 95VR = 12 a R + 36a 5 R + 12a5 R + 25 R + 240 2 + 36a 50
  42. 24 a 522 +653v
  43. = a8 ve - 28a R + 36asR f 65. R. + 36a v. + 36as0 + 1250:
  44. Semitolidique conrespondentis Momentum respectu axis convertionis sux, du-
  45. plum est Momenci Ongula respectu aciei sux: IIiusque distantia ceneri cravita.
  46. iis ab axe, ad hujus distantiam ab acie; ut 2 R ad ; P. Or Capius ostentum est.
  47. Figdemque Momenta et Distantiae, sie acthue alias investisaneur. Nempe, Mo-
  48. mento Ongulae AbV per se invento, sine ope Ingula AbBa: Hinc iplius
  49. ABBa Onsula Momentum, reliquaque deduCUntuT.
  50. Dirisa recta A a in parres intinue exiguas, inricem aequales, in punctis S, C, 2,
  51. Sc. hoc est, sumptis v arichmetice proxorrionalibus: Ouae Semicreloidem A + a
  52. ejusre scomenrum Ab V, complene reeta bV; sunt Omnes a F s, eo spectances.
  53. Cuaque
  54. 168.

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. 834. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/851387705:0854?run=74