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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. 744

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: 0.84.

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The machine reads it as

  1. DeCalculo Centri Cravitatis.
  2. Cap. V.
  3. Fis. 159. Lullasue Ongula momencum, per iptius magnitudinem diritum, hoc cst per
  4. 6V R = 5V R = 5sR (per S Q. prOp. Praced.) extibet iltius Ungula Ses.
  5. mento AB A intistentis, aeiem habentis Aa, diltanciam Ceneri graritaris ab A a
  6. plano, 3 C R + 3 50 R = 253
  7. 80F = 452 == 4 V2
  8. ltanciam 3 C R 2 F 3 5V R = 2 5.
  9. 2V RP - 5 24
  10. Semisolidique correspondencis, Ceniri inde di-
  11. Rectat, ut timilicer expendamus Solida, impertecta convertione circa ran L A
  12. BV, deleripra: Ongulalque correlpondentes: Porum Momenta respectu r an l A,
  13. BV, respectire, decerminando; Cenerique graricaris inde distantiam.
  14. IncelliBacur vaque super A D a Semicicculo, Ongula Semiguadrancalis, aciem
  15. habens Fa. Cujus iraque lingulis ordinatim applicatis, ut B V, coridem inlictune
  16. Parallelosramma Rectangula, Ongulam complencia; quorum alcirudines sint iplis
  17. Varrespectiris aquales; corumque d J A distanria V A. Frirque propierea RC
  18. ctangulorum horum cujusque momencum relpectu TA, (OPPOTIX lansenIS,)
  19. aequale tacto ex Bale BV, in alcicudinem V a, ee diltanciam a vertice V A, Con
  20. iinue ducta: HOc cAt, BV X V aXV A. FK aucem a V X V A = BV 9, (PrODteF
  21. BY mediam proporcionalem incer Diumetri sexmenca AV, a V:) Adeoque BV x
  22. aV XV A = BV C. EF Lic ubique.
  23. Idemque cric ( eadem de calisa) momentum, respectur a Onpulae, aciem p2
  24. bencis T A. Ouxe enim MMt, in alcera, alcicudo; est, in reliqua, diltantia:
  25. rice verta.
  26. Sune iaque Parallelogrammorum torum omnium (sive quae Vngulam coram
  27. ipti Aa D insiltenrem; live quae ipsius portionem ipsi BV A, vel BVCD, insi-
  28. stencem complent; quippe utrobique eadem est ratio;) momenta respectu I A, A
  29. acies lic ra; vel respectu r an A acies _Y A; Summa cuborum ordinatim appli-
  30. catarum balin complentium. Puta, omnium o, respectire.
  31. Eequidem in ea quae Semisesmento BV A intiltit, (ad Verricem A cerminato)
  32. Omn. 03, = 8C R3 f 35VR = =5 R + 553, ut 59. oltentum est. (Idem-
  33. quen i opus suerir ad aliam porcionem, ut BV CD, facite accommocabicur; u
  34. ibidem eriam ostentum elt.)
  35. Ellud itaqe momentum; A dividatur per Ongulae magnitudinem ipsi BV A Sémiles.
  36. menco insillencis, aciem habentis re, 3e R F S0 R f ; s (per G L. prOP. Praeced.) ex.
  37. hibet diltanciam Centri graricatis ab (opposica) PA
  38. 3
  39. R. 1
  40. 653R - 353V
  41. 6eR +65u R. f 453
  42. 53B
  43. 35.B
  44. 16 A) + 9522 = 65t R f 6534
  45. 12eRE + 125V R + 8st
  46. Sc R +65uR + 45
  47. 5
  48. Adeoque ab ipta ra-
  49. SeR + 65uR + 453
  50. Ongulaque
  51. DEOPECTCA respectu iptius BV, momentum = 3C RR 3 = 3 a V R f 35VR - = 53 R
  52. F ESV: Fjusdemque respectu ipsius r a, aciei lux, momencum, J0 R3 = 3SV R=
  53. F253 R-
  54. 53V. Hlujusque duplum Z0 _3 f 35V R2 f 15 5 R - =5 3 V MOmen-
  55. tum semisolidi, semiconvertione semisesmenti BV a circa r a, respectu ipsius r a
  56. axis convertionis: aique hoc, per semisolidi magnicudinem diritum, exhibet
  57. ZSCR F L5SVR7 f 225-65V
  58. R
  59. +25 R 6532
  60. 3C R 8 = 350 D + 253∞
  61. P: Semisolici istius, distanciam Ceneri
  62. pravicaris a tan (nempe ad illam Ingulae, ut 4 R, ad P.) Adeoque, d TA.
  63. F = 5B
  64. 3C k. P + 3 5V R P. L3 5 Semisolidique illius, respectu iptius
  65. T A (axi opbila) momencum e R2 P + : 5v R P + 3 s P = 3C R. - = sV R
  66. 853 R + 35v.
  67. Idemque (quod Prius) momentlm se R 7 8 a5 R F 253V; si d
  68. vidatur per Ungula magnicudinem ipli B V a inciltencis, aciem habentis T A,
  69. SCR + 35~ R = 35, (per B L. prop. praced.) exhibe, hajus, Cenri gravicacis
  70. distanciam
  71. 3C R F = 3suA P + 2537
  72. 350RD + 2534

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. 744. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/851387705:0764?run=74