Leibniz Legible

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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. 739

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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The machine reads it as

  1. PrOD. XVI.
  2. De Calculo Centri Cravitatis.
  3. bentis sive T an Eive FA, Momencum respectu A an CAt Z RL; Solidique correspon. F1X. 150.
  4. dentis ; R3 P; ee Semisolidi, ; R3 P: Centrique praricaris ab A a distancia, 8 N2 160.
  5. Trem, Semiquadranralis Ongulae super B V A Semilesmento, aciem tabentis ra
  6. momentum relrectu Aa est (UESF.) 3V R3 = 35 R + 35 2 V R = 354; (50-
  7. lidique correspondentis, et Semilolidi, momenta, ad hoc; ucP, vel = P, ad R.
  8. Adeoque, proprer Onsula magnicudinem (vel momentum Semilectoris BV A re
  9. Spectu 7a,) Za R2 - =s R= + =sv + 353, (Der S L. proP. praeced.) Diltancia
  10. Cencri craricaris istius Ongulae (adeoque Solidi Semisolidire correspondenris) ab
  11. 8VR = 45 R + 4s V R = 35 4V R + 4s R f 352B
  12. 3 2a = +25 R = 12 5VR = 85 12CR F 125V R + 85
  13. Onoulaeque Semiquadrantalis Cuper eodem B V A Semisermento, aciem haben-
  14. eis TA, momentum respectu ejuldem A a, esE (utS F.) ZV R3 - s R = Es V R
  15. 352; (Solidique aut Semisolidi correspondentis momentum, ad hoc; ut ~ vel
  16. ~ ad R:) Adeoque, propter Ongulx magnicudinem (seu plani BV A momen.
  17. cum respeetu F A, ) Ea AZ = ES RZ = LSVR = Z53, (Per SL. prOP. praeced.
  18. Distancia Centri graritacis Onsula (Solidire aur Semisolidi convertione facti) at
  19. A
  20. 82 R = 4 s= R2 - f 4 s V R - 2 54 -- 4 2 R 4 s R - Zs B
  21. 12a R = 125 R + F2SVR = 8s Z2CR + 1250R - 85
  22. Similiter, Semiquadrantalis Ingula Caper eodem BV A, aciem Habentis B V,
  23. momentum respectu, Nas e (UES C,) 30 R3 L352 R A = 89 P - 122B
  24. Solidiquene Semilolidi convertione tacti momenta, ad hoc, ut P _ ; P ad R:
  25. Adeoque proxter Onsula magnicudinem (rel plani respectu BV mOentum)
  26. a + s A + havR Es = F ex R = t522; (per S L. PrOP. PrXC.) Distancia Cenrri
  27. Braricaris ab A a -
  28. 62 f2 52 ct 3 1B
  29. 8VR3 = 452R
  30. 12 a R = 125R F 12 avR = 453: Vet Cquod codem recidic)
  31. toV2+ 1er X D3Ceu + v- 2R + B
  32. quRS2B
  33. 4502 + 12 ~ seu =2 p + 12 avR = 4
  34. Trem Semiquadrantalis Onoula super Ba A, aciem hahentis ra, momentum
  35. respectu Aa, (ucSF. ) 3V A3 F35= R = 25 2 V R = = 52 R2 + 1V R; (Soli.
  36. e convertione factius 15V R7 X + 352 R P = sevD; ee Semilolidi 6V R2F
  37. ccleste
  38. =35 RZ = s= vF:) Adcoque, propier Oneula magnicudinem (Teu plani
  39. momencum respectu ran) aX F 8sN = 5s2 A (per SM. prOP. PracCd.) diltancia
  40. Centri graritatis ab Ag
  41. 42R 4 4sR = sV 4R + 4BA = s
  42. Sak F TOSR = 250
  43. 6fR. = 25h
  44. Opoulaeque Semiquactranralis super eodem B a A, aciem habenris P A, omen.
  45. ium respectu ejusdem A a (ULS F) ZV R3. f Z se V R; (Solidique e Semisolidi
  46. conrettione Pacti, ZV A2 P. = 15 = V F, 5VA =F + , 2 5 2 D P: ) Adeoque, prOPtCI
  47. Ongulae magnicudinem, (seu plani momencum respectu J A,) Za R3 + 65 R 2 +
  48. 55~R, (Per S M. PrOB. Braced.) Distancia Cenri pravicaris ab A a
  49. 4u + sev er 4 R F s2
  50. 6ak + 25R + 250 6s R = 25B
  51. K.
  52. L
  53. Eodem modo, semiquadranalis Oneulae Teianeulo B Ca intiltentis aciem ha. M.
  54. bemis ra, momentum respectu A a, elt (UES F.) 352 R2 - - S V R; (ec 50.
  55. lidorum, conversione vel semiconressione descripiorum, his proportionalia; nem
  56. De in ratione P seu : P ad P: quod et in sequenribus incollise.) Adeoque (prop.
  57. ter maxnicudinem =s R Z L5VR, per SMI. proP. Praced.) diltancia Centri ora-
  58. vicacis ab A a, est 35 _ + 25V d5X 20
  59. 12R = 4V +ZX 4V
  60. Oneuleque Semiquadrancalis su-
  61. per eodem B Ca intiltencis, aciem habencis TA, momentum respectu A a est (ut SF)
  62. 2s R + =S v X; adeoque (proprer masnicudinem 35 R + 35u A per S M
  63. PrOB. PEacect.) distancia Centri pravicatis ab A a, 3 f F 2V
  64. 12 R + 4V
  65. Ongulaeque Semiguadrancalis super Frianeulo B V C, aeiem habencie F , MO.
  66. memum resprectu A a; est (ut BD. )
  67. 24 N: FL magniendo (per SH.
  68. A a a 22 :
  69. 1 PFOP

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. 739. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/851387705:0759?run=74