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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. 724

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. De Calculo Centri Gravitatis. Cap. V.
  2. ratuE SS2 R = 55 = V, vel addatur = 5s2 R = 352V; habetur Semisesmenti BV A
  3. Nomentum (vel Semiquadrancalis Ingula) respectu iptius A an ZV R 2 - 552R +
  4. 552v. Adeoque Solidum illius incegra convertione circa A a deleripeum ZV R2
  5. P + =: de Semiconvertione, 30 PD = 52 P +
  6. 2
  7. T2X.
  8. Cencrique
  9. Graritatis, eju(dem B V A Semisesmenci distancia ab A ∞, (divilo MOmenIO pEF
  10. magnicudinem SF inventam) erir 30X =3s R + 5s2 2V = s R + sv
  11. 3aR = 25 R + 1 52 , 3eR = 35V
  12. AUE CtIAM, PTOPIEF 2VR - s = C7 - 5 ==2; MomentM CrIE SV R + E5 V. Solidum
  13. convertione integra lactum si P +
  14. ert
  15. i e
  16. x;ec, convertione dimidia, 122X f.
  17. 22. R
  18. VR] 52V VR (52
  19. distancia centri pravicaris ipsius semiscemenei BV A, ab R7 20 R 250 ZR + 250
  20. Si autem, ex hoc Semisegmenti B V A momento 5 92 R. F 55 =V, auteramus mo-
  21. mencum Frianguli B AV (respectu ejuldem A a) 5S2 V (est enim Balis AV = 2.
  22. alcieudo BV = 5, Cencrique Gravitatis d tiate diltancia Zs; adlCOquE MOMEHEUM
  23. s2v:) relinquiene Sexmenci AB A. Crespectu ejuldem A∞.) momenum, 502 R.
  24. Oeprius.
  25. Sumiliter; Distancia Cencri graricaris Frianguli BCan 2 recta Aa CA (per 6
  26. hujus) SBV = 55; ejusque magnicudo =s R. Rrso illius (respectu rectae A a)
  27. drantalis Ongula, est 55= R: Adeoque Solidum inteera
  28. convertione circa Aa Factum, SS= P; et convertione dimidia- 28
  29. Priangulique BOo momencum illid 5S2 R, addicum Sectoris B C N momento
  30. (BO reDetcO) LVR3 ==5C2R: exhiber Secloris D a A (respectu eju sdem A a)
  31. Momentum, rel Semiquadrantalem Vngulam, 5D R = F S = R 50E R. H2 5e R
  32. Solidumque incegra conrerlione cirea _ a Factum, ZV R P L52 ∞ =. 2C2P + Es2 4
  33. et Demisolidum, 8V. RP + B 52~ = (EOEP + 152 illivie e
  34. Auc eciam; Propter Prianguli B V e magnimidinem ZsB = 5 R 35V; et Cen-
  35. eri graricaris ab A a. distantiam Zs; erit ejuldem, respectu Ra, momentum Zse B
  36. S2R - 552V: Ec Colidum ejuldem cirea Au’inceora convertione Factum,
  37. 53B∞ 1IeV 1t
  38. 12 X A352P-
  39. 5N = 3SP=; Semisolidum,
  40. 22
  41. vZ
  42. Triangulique B r a momiencum Ilud ; S X = 3sEV; semileomenti B V A mo-
  43. ento ZV R= = 5= R = 5S =V (B R rePertO) additum; extribet Sectoris Ba A
  44. (respectu ejusdem A a) momentum, leu semiquadeantalem Ongulam :VR F Z52 R.
  45. Cc prius. Adeoque (uc prius) Sosidum, ZV RP = 55 2 D; e Semisolidum SVRF
  46. Fricque (momento per magnicudinem : a R F E s R = 3 fR, SHI inventam, di-
  47. riso,) Sectoris B a A distantia Ceveri gravicatis ab A a,
  48. VR2 F 3SR 20R + 5
  49. 3a R + iSR
  50. Decerminarimus ieine (inter alia). tum sectoris D C A, tum B a A, cum Se-
  51. miseemenci BV A, Cenera graritatis, (per corum cum a r an leuif A, seu BV,
  52. seu DC, cum ab A a, distancias,) quaque hinc dependent.
  53. Arque ae eandem tormam, murais mucandis, de aliis cireuli portionibus judi-
  54. candum erit.
  55. Potine aurem hac eadem, quae rectam A a spectane, (SD, R, S, tradica,) hac
  56. adhuc alia methodo explorari.
  57. Sunt utique (Per nollx Arithmetica InfinitOrUm, DFOD. LIZ, 22E, 223, _EC.)
  58. Ouadrata ordinarm applicatarum in Ouadrante, (vel Subtenlarum in Semicireu-
  59. lo) Series A. qualium mulctaca serie Sccyndanorum. Pura, ut R 2 - 0, R?
  60. qu R= = 9, ec. ulque ad R2- A2. HIoC ell, ur Plana Cylindri Conice
  61. exCaVAII (Per PEOP. X13. ejusdem;) Veh (per ejusdem PTOP. X72.) ut Rectae in
  62. Semiparabola diamerro parallela.
  63. Si enim Ouadranti ADC, circum soribatur AOD C. quadratum, quod Diaso.
  64. nali
  65. 115. 159
  66. Fie
  67. 463.

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. 724. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/851387705:0744?run=74