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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. 737

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. et
  2. 1TA
  3. PFOD.XVI. DeCalculo Centri Cravitatis.
  4. Aeque haec momenta, momeneis Spharici Segmenti, Semilesmenti, et Correspon. Fie
  5. dentis Unoulae, BB A, BV A, respectire addira, exhibene momenta, relvectu insi.
  6. aS 7a, Sphaerici Sectoris B a B A, 3VR = Z = 352 RX = 1 52~Z; SemilectOris
  7. Ba A, SV R = P = 55=RZ = 5222; e correspondenis Ongula, JV R3.
  8. Exrespectu TA, momencum Sectoris Spharici Ba B A, ; V R 2 D F ; ) s2 VP; Sc.
  9. misectoris Ba A, SVRZ∞ + +52VD: Ongulaeque ZV R3 F 1552V R.
  10. Vet etiam; Incelligacur, luper BC a Priangulo, Ongula Semiquactrantalis,
  11. aciem habens Aa: Oua Pyramis erit verricem habensa; et balin J riangularem
  12. Tuper BC rectam. Fujusque Balis Friangularis (in rectam CB projectae) Cen-
  13. trum gravitaris puta B, distabit a C. (vercice Priansuli) ZCB, (per 6 hujus;)
  14. ejusque ab A a (plano) dictancia, B7 = ZBV =35; e, in recta inde ad a ducta,
  15. Frianguli centrum graricaris ut S, ablcindet a8 = Z a B; Cujus itaque ab A a di-
  16. lancia BC = 2B7 = 3X35 = =s: PjuSque d r a ditantia, (7a = 2y a; Hoc est
  17. (PrOPter 70 = R L3 V = 3R = 30,) Z R = =y; adeoque ejuldem d l A distancia
  18. X F ZV.
  19. Oux quidem distancia, in 55 R (Pyramidis magnicudinem, per prop. praeced.
  20. 55.) ductae; exhibene momeneum Pyramidis; (seu Vngula B Co, aciem hrabencis
  21. Aa,) respectu iplius ra, s 2 R= - 52D R; e respectu iptius LA, 85 = R 2 ]
  22. SVP. Adcoque Solidi (seil. Coni; conice excarati,) convertione Prianguli
  23. BC 2 circa Ra tacti, momentum respectu ra, Z5= RP = E5 = VX; de respectu
  24. TA, 252RD F - =S2VP: Semisolidique momencum respectu ra, ads2 RF -
  25. +s2 VD; e relpectu L A, 16S= RP + + 52~F.
  26. Acque haec momenta, momentis Sphaerici Sectoris, Semilectoris, et correspon.
  27. dentis Ongulae, BCB A, BC A, respectire addira; exhibene momenta Sectoris,
  28. Semilectoris, Ungulaeque, Ba B A, Ba A, respectu ipLiNS Y a, 3 V R 2~ L = 52 R4
  29. 252 V2, 5VR= P + 352 RD 52VP, 3VR3 362 R 52V R
  30. F respectu Ip(uS PA, 3D R =P + 5= VE, 6VR2P + 5= VZ, LV R +
  31. 2S= VR. VE PrIVS.
  32. Ouxe quidem momenta, per magnitudines dirita, (prop. praeced. 5 S. Tradicas)
  33. exhibent dictanciam Centri graritatis, a ra,
  34. 252R - 520
  35. 42 R = 25 i d d F A, X = 25 R - 5v
  36. 40 25
  37. VR +Z52R = 2 S2VR
  38. EVk + 5 s X
  39. 252R - 520
  40. B52
  41. DC, quR t 25 quR f25
  42. R1
  43. Similiter; Coni incegri B AB, (Trianguli B A V convertione cicca A a de.
  44. scripes) magnicudo (Dex S R, PrOP. praced. ); Semiconi VF
  45. 22 X; e Semi-
  46. quadrancalis Ongulae 5 5 2V. Centrique graritatis distancia d F A, 3V (per 6 hu-
  47. juS;) atque a ran 2 R -32. Ouxe quidem distanciae in magnicudines ductae, ex.
  48. Si Semiconi
  49. 16 pi Ungulaeque tsv
  50. = : s vR - 5 52: Respectu ra, momentum Coni 5 s2 v X - s V Z
  51. 552 DD = sv
  52. 8 X3 Semi cons
  53. Ongulaeque 3S2 VR = 5 s2V = 3 S V R + 3s
  54. Oux quidem momenta, ex respectiris momentis segmenti, semileementi, Vn
  55. Bulaeque, BBA, BV A, (S F. tradicis,) subducta; relinquune annuli, (conver
  56. tione segmenEI A B A cirea Aa) momencum respectu Ta, ZV R = P - Z5 2 R ~
  57. 2s= VF: Semiannuli 5V R 2 P = S2 P + a 5 ~~; EF correspondens Vn.
  58. sulae ZV R3 =65= R2 + 252V R = V R2 + 12S = V R. AIque, respectu TA.
  59. momentum annuli 30 R= P - 55? RP = 12 S = VD; Semiannuli 5VR = ~-
  60. 35 R~ - 25 2 vF: Ongula que ZVR3 = 65 R 2 - 1 5 = V R = 2 X = 3 5 VR.
  61. Adeoque (propier Lncula masnicudinem S B, R. proP. praced. JV P = 5 V X.L
  62. 55 R,) distancia Cencri pravicais est d F ∞ R + = R + iB; a T A, R - :B;
  63. acque a DC, 3b = 2
  64. 159
  65. 260.
  66. A 2 d d 2
  67. 101t0

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. 737. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/851387705:0757?run=74